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0001 @PREAMBLE{ "\newcommand{\noopsort}[1]{} " }
0002
0003 @Book{mABR70a,
0004 author = {M. Abramowitz and I. A. Stegun},
0005 title = {Handbook of Mathematical Functions},
0006 publisher = {Dover},
0007 year = {1970},
0008 address = {New York}
0009 }
0010
0011 @ARTICLE {mALA64a,
0012 AUTHOR="J. D. Alanen and D. E. Knuth",
0013 TITLE="Tables of Finite Fields",
0014 JOURNAL={SANKHY\=A: The Indian Journal of Statistics, Series A},
0015 VOLUME={26},
0016 YEAR={1964},
0017 PAGES={305--328} }
0018
0019 @ARTICLE {mBAB60a,
0020 AUTHOR="K. I. Babenko",
0021 TITLE="Approximation of Periodic Functions of Several Variables
0022 by Trigonometric Polynomials",
0023 JOURNAL={Soviet Mathematics Doklady},
0024 VOLUME={1},
0025 YEAR={1960},
0026 PAGES={513--516} }
0027
0028 @ARTICLE {mBAB60b,
0029 AUTHOR="K. I. Babenko",
0030 TITLE="Approximation by Trigonometric Polynomials in a Certain
0031 Class of Periodic Functions of Several Variables",
0032 JOURNAL={Soviet Mathematics Doklady},
0033 VOLUME={1},
0034 YEAR={1960},
0035 PAGES={672--675} }
0036
0037 @Book{mBAC96a,
0038 author = {E. Bach and J. Shallit},
0039 title = {Algorithmic Number Theory},
0040 publisher = {MIT Press},
0041 year = {1996},
0042 volume = {1},
0043 address = {Cambridge, MA},
0044 OPTannote = {number theory, complexity, finite fields, algorithms}
0045 }
0046
0047 @TechReport{mBAG03a,
0048 Author = "R. Bagnara and A. Zaccagnini and T. Zolo",
0049 Title = "The Automatic Solution of Recurrence Relations.
0050 {I}. {Linear} Recurrences of Finite Order with Constant
0051 Coefficients",
0052 Type = "Quaderno",
0053 Number = 334,
0054 Institution = "Dipartimento di Matematica, Universit\`a di Parma, Italy",
0055 Year = 2003,
0056 Note = "Available at \url{http://www.cs.unipr.it/Publications/}",
0057 annote = {linear recurrences},
0058 }
0059
0060 @ARTICLE{mBAK59a,
0061 author = "N. S. Bakhvalov",
0062 title = "On Approximate Calculation of Multiple Integrals",
0063 journal = "Vestnik Moskovskogo Universiteta, Seriya Matematiki, Mehaniki,
0064 Astronomi, Fiziki, Himii",
0065 volume = "4",
0066 pages = "3--18",
0067 note ="In Russian",
0068 year = "1959"}
0069
0070 @ARTICLE{mBAK62a,
0071 author = "N. S. Bakhvalov",
0072 title = "On the Rate of Convergence of Indeterministic Integration
0073 Processes within the Functional Classes $W_p^{(l)}$",
0074 journal = "Theory of Probability and its Applications",
0075 volume = "7",
0076 pages = "227",
0077 year = "1962"}
0078
0079 @ARTICLE{mBAR79a,
0080 author = "D. L. Barrow and P. W. Smith",
0081 title = "Spline Notation Applied to a Volume Problem",
0082 journal = "The American Mathematical Monthly",
0083 volume = "86",
0084 pages = "50--51",
0085 year = "1979"}
0086
0087 @INPROCEEDINGS{mBAR00a,
0088 AUTHOR = "J. Bar{\'a}t and Y. Edel and R. Hill and C. Jones
0089 and I. Landjev and L. Storme",
0090 TITLE ={Caps in {PG$(5,3)$} and {PG$(6,3)$}},
0091 BOOKTITLE ={Proceedings of the Seventh International Workshop
0092 "Algebraic and Combinatorial Coding Theory"
0093 18-24 June 2000, {B}ansko, {B}ulgaria},
0094 YEAR ={2000},
0095 PAGES ={65--67},
0096 }
0097
0098 @ARTICLE{mBAR04a,
0099 AUTHOR = "J. Bar{\'a}t and Y. Edel and R. Hill and L. Storme",
0100 TITLE ={On complete caps in the projective geometries over
0101 $\mathbb{F}_3$ {II:} New improvements},
0102 JOURNAL = {Journal of Combinatorial Mathematics and Combinatorial Computing},
0103 YEAR ={2004},
0104 VOLUME ={49},
0105 PAGES ={9--31},
0106 }
0107
0108 @Book{mBEA84a,
0109 author = "K. G. Beauchamp",
0110 title = "Applications of {W}alsh and related Functions",
0111 publisher = "Academic Press",
0112 year = "1984",
0113 address = "London",
0114 OPTannote = ""
0115 }
0116
0117 @article{mBER70a,
0118 author = {E. R. Berlekamp},
0119 title = {Factoring Polynomials over large finite fields},
0120 journal = {Math. Comp.},
0121 year = {1970},
0122 volume = {24},
0123 pages = {713--735}}
0124
0125 @book{mBER84a,
0126 author = {E. R. Berlekamp},
0127 title = {Algebraic coding theory},
0128 publisher = {Aegean Park Press},
0129 address = {Laguna Hills, CA, USA},
0130 year = {1984}
0131 }
0132
0133 @ARTICLE{mBIE94a,
0134 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0135 TITLE ={Theory of perpendicular arrays},
0136 JOURNAL ={Journal of Combinatorial Designs},
0137 YEAR ={1994},
0138 VOLUME ={5},
0139 PAGES ={375--406},
0140 }
0141
0142
0143 @ARTICLE{mBIE96a,
0144 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel and Stephen Black",
0145 TITLE ={Some {$t$}-homogeneous sets of permutations},
0146 JOURNAL ={Designs, Codes and Cryptography},
0147 YEAR ={1996},
0148 VOLUME ={9},
0149 PAGES ={29--38},
0150 }
0151
0152 @ARTICLE{mBIE97a,
0153 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0154 TITLE ={New code-parameters from {R}eed-{S}olomon subfield codes},
0155 JOURNAL = {{IEEE} Transactions on Information Theory},
0156 YEAR ={1997},
0157 VOLUME ={43},
0158 PAGES ={953--968},
0159 }
0160
0161 @ARTICLE{mBIE97b,
0162 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0163 TITLE ={Extending and lengthening {$BCH$}-codes},
0164 JOURNAL = {Finite Fields and their Applications},
0165 YEAR ={1997},
0166 VOLUME ={3},
0167 PAGES ={314--333},
0168 }
0169
0170 @ARTICLE{mBIE97c,
0171 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0172 TITLE ={A family of 2-weight codes related to {$BCH$}-codes},
0173 JOURNAL = {Journal of Combinatorial Designs},
0174 YEAR ={1997},
0175 VOLUME ={5},
0176 PAGES ={391--396},
0177 }
0178
0179 @ARTICLE{mBIE99a,
0180 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0181 TITLE ={Halving {$PSL(2,q)$}},
0182 JOURNAL = {Journal of Geometry},
0183 YEAR ={1999},
0184 VOLUME ={64},
0185 PAGES ={51--54},
0186 }
0187
0188 @ARTICLE{mBIE99b,
0189 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel and Ludo Tolhuizen",
0190 TITLE ={New codes via the lengthening of {BCH} codes with {UEP} codes },
0191 JOURNAL = {Finite Fields and their Applications},
0192 YEAR ={1999},
0193 VOLUME ={5},
0194 PAGES ={345--353},
0195 }
0196
0197 @ARTICLE{mBIE00a,
0198 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0199 TITLE ={Quantum twisted codes},
0200 JOURNAL = {Journal of Combinatorial Designs},
0201 YEAR ={2000},
0202 VOLUME ={8},
0203 PAGES ={174--188},
0204 }
0205
0206 @ARTICLE{mBIE00c,
0207 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0208 TITLE ={Dense sphere packings from new codes},
0209 JOURNAL = {Journal of Algebraic Combinatorics},
0210 YEAR ={2000},
0211 VOLUME ={11},
0212 PAGES ={95--100},
0213 }
0214
0215 @ARTICLE{mBIE00b,
0216 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0217 TITLE ={A family of caps in projective 4-space in odd characteristic},
0218 JOURNAL = {Finite Fields and their Applications},
0219 YEAR ={2000},
0220 VOLUME ={6 },
0221 PAGES ={283--293 },
0222 }
0223
0224 @ARTICLE{mBIE01a,
0225 AUTHOR = "J{\"u}rgen Bierbrauer and Antonio Cossidente and Yves Edel",
0226 TITLE ={Caps on classical varieties and their projections},
0227 JOURNAL = {European Journal of Combinatorics},
0228 YEAR ={2001},
0229 VOLUME ={22},
0230 PAGES ={135--143},
0231 }
0232
0233 @ARTICLE{mBIE02a,
0234 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0235 TITLE ={Bounds on affine caps},
0236 JOURNAL = {Journal of Combinatorial Designs},
0237 YEAR ={2002},
0238 VOLUME ={10},
0239 PAGES ={111--115},
0240 }
0241
0242 @ARTICLE{mBIE02b,
0243 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel and Wolfgang Ch.Schmid",
0244 TITLE ={Coding-theoretic constructions for $(t,m,s)$-nets
0245 and ordered orthogonal arrays},
0246 JOURNAL = {Journal of Combinatorial Designs},
0247 YEAR ={2002},
0248 VOLUME ={10},
0249 PAGES ={403--418},
0250 }
0251
0252 @article{mBIE03a,
0253 author = {J. Bierbrauer},
0254 title = {Large Caps},
0255 journal = {Journal of Geometry},
0256 year = {2003},
0257 volume = {76},
0258 pages = {16--51}}
0259
0260 @ARTICLE{mBIE03b,
0261 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0262 TITLE ={The largest cap in {$AG(4,4)$} and its uniqueness},
0263 JOURNAL ={Designs, Codes and Cryptography
0264 (Proceedings of Finite Geometries, {O}berwolfach 2001)},
0265 YEAR ={2003},
0266 VOLUME ={29},
0267 PAGES ={99--104},
0268 }
0269
0270 @book{mBIE04a,
0271 author = {J. Bierbrauer},
0272 title = {Introduction to Coding Theory},
0273 publisher = {Chapman and Hall/CRC Press},
0274 address = {Boca Raton, FL, USA},
0275 year = {2004}
0276 }
0277
0278 @ARTICLE{mBIE05a,
0279 AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel",
0280 TITLE ={A Family of Binary {$(t ,m, s)$}-Nets of Strength {$5$}},
0281 JOURNAL ={Designs, Codes and Cryptography},
0282 YEAR ={2005},
0283 VOLUME ={37},
0284 PAGES ={211--215},
0285 }
0286
0287 @Book{mBRE78a,
0288 author = "C. Brezinski",
0289 title = "Algorithmes d'Acc\'el\'eration de la Convergence",
0290 series = "Collection langages et algorithmes de l'informatique",
0291 publisher = "\'Editions Technip",
0292 year = "1978",
0293 address = "Paris",
0294 OPTannote = ""
0295 }
0296
0297 @BOOK {mCAS97a,
0298 AUTHOR="J. Cassels",
0299 TITLE={An Introduction to the Geometry of Numbers},
0300 series = {Classics in Mathematics},
0301 PUBLISHER="Springer-Verlag",
0302 address = "Berlin",
0303 note = {Corrected reprint of the 1971 edition},
0304 YEAR={1997} }
0305
0306 @TECHREPORT {mCLE62a,
0307 AUTHOR="C. W. Clenshaw",
0308 TITLE="Chebychev Series for Mathematical Functions",
0309 INSTITUTION="Her Majesty's Stationery Office, London",
0310 type="National Physical Laboratory Mathematical Tables",
0311 YEAR={1962},
0312 NUMBER={5}}
0313
0314 @ARTICLE {mCOH87a,
0315 AUTHOR="H. Cohen and A. K. Lenstra",
0316 TITLE="Implementation of a New Primality Test",
0317 JOURNAL={Mathematics of Computation},
0318 VOLUME={48},
0319 YEAR={1987},
0320 NUMBER={177},
0321 PAGES={103--121} }
0322
0323 @INPROCEEDINGS{mCOH96a,
0324 AUTHOR = "??",
0325 TITLE ={??},
0326 booktitle = {Algorithmic Number Theory Symposium 1996},
0327 editor = {H. Cohen},
0328 publisher = {Springer-Verlag},
0329 address = {Berlin},
0330 year = {1996},
0331 series = {Lecture Notes in computer science} }
0332
0333 @BOOK {mCON72a,
0334 AUTHOR="S. D. Conte and C. {de Boor}",
0335 TITLE="Elementary Numerical Analysis: An Algorithmic Approach",
0336 PUBLISHER="McGraw-Hill",
0337 edition="second",
0338 YEAR={1972} }
0339
0340 @BOOK {mCON80a,
0341 AUTHOR="S. D. Conte and C. {de Boor}",
0342 TITLE="Elementary Numerical Analysis: An Algorithmic Approach",
0343 PUBLISHER="McGraw-Hill",
0344 ADDRESS={New York, Montreal},
0345 SERIES="International series in pure and applied mathematics",
0346 edition="third",
0347 YEAR={1980} }
0348
0349 @BOOK {mCON88a,
0350 AUTHOR="J. H. Conway and N. J. A. Sloane",
0351 TITLE={Sphere Packings, Lattices and Groups},
0352 PUBLISHER="Springer-Verlag",
0353 SERIES="Grundlehren der Mathematischen Wissenschaften 290",
0354 ADDRESS={New York},
0355 YEAR={1988} }
0356
0357 @BOOK {mCON99a,
0358 AUTHOR="J. H. Conway and N. J. A. Sloane",
0359 TITLE={Sphere Packings, Lattices and Groups},
0360 PUBLISHER="Springer-Verlag",
0361 SERIES="Grundlehren der Mathematischen Wissenschaften 290",
0362 EDITION={3rd},
0363 ADDRESS={New York},
0364 cote = {QA 3 G78},
0365 YEAR={1999} }
0366
0367 @BOOK {mCON01a,
0368 AUTHOR="E. H. Connell",
0369 TITLE="Elements of Abstract and Linear Algebra",
0370 note={See \url{http:www.math.miami.edu/~ec/book/}},
0371 YEAR={2001}
0372 }
0373
0374 @BOOK {mDAL08a,
0375 AUTHOR="G. Dahlquist and A. Bjorck",
0376 TITLE={Numerical methods in scientific computing},
0377 PUBLISHER="Society for Industrial and Applied Mathematics ({SIAM})",
0378 ADDRESS={Philadelphia},
0379 YEAR={2008} }
0380
0381 @BOOK {mDAV84a,
0382 AUTHOR="P. Davis and P. Rabinowitz",
0383 TITLE={Methods of Numerical Integration},
0384 PUBLISHER="Academic Press",
0385 edition={second},
0386 ADDRESS={New York},
0387 YEAR={1984} }
0388
0389 @Book{mDEB78a,
0390 author = {C. {de Boor}},
0391 title = {A Practical Guide to Splines},
0392 publisher = {Springer-Verlag},
0393 year = {1978},
0394 number = {27},
0395 series = {Applied Mathematical Sciences Series},
0396 address = {New York},
0397 OPTannote = {}
0398 }
0399
0400 @BOOK {mDEO74a,
0401 AUTHOR="N. Deo",
0402 TITLE={Graph Theory with Applications to Engineering and
0403 Computer Science},
0404 PUBLISHER="Prentice-Hall",
0405 ADDRESS={Englewood Cliffs, N.J.},
0406 YEAR={1974} }
0407
0408 @Book{mDIE69a,
0409 author = {J. Dieudonn\'e},
0410 title = {Foundations of Modern Analysis},
0411 publisher = {Academic Press},
0412 year = {1969},
0413 address = {New York},
0414 edition = {second},
0415 OPTannote = {}
0416 }
0417
0418 @Book{mDUM99a,
0419 author = {D.~S. Dummit and R.~M. Foote},
0420 title = {Abstract Algebra},
0421 publisher = {John Wiley and Sons},
0422 year = {1999},
0423 edition = {second},
0424 OPTannote = {}
0425 }
0426
0427 @ARTICLE{mEDE97a,
0428 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0429 TITLE ={Lengthening and the {G}ilbert-{V}arshamov bound},
0430 JOURNAL = {{IEEE} Transactions on Information Theory},
0431 YEAR ={1997},
0432 VOLUME ={43},
0433 PAGES ={991--992},
0434 }
0435
0436 @ARTICLE{mEDE97b,
0437 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0438 TITLE ={Twisted {BCH}-codes},
0439 JOURNAL = {Journal of Combinatorial Designs},
0440 YEAR ={1997},
0441 VOLUME ={5},
0442 PAGES ={377--389},
0443 }
0444
0445 @INPROCEEDINGS{mEDE98a,
0446 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0447 TITLE ={Construction of digital nets from {BCH}-codes},
0448 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
0449 editor = {P. Hellekalek and G. Larcher and H. Niederreiter
0450 and P. Zinterhof},
0451 publisher = {Springer-Verlag},
0452 address = {New York},
0453 volume = {127},
0454 pages = {221--231},
0455 year = {1998},
0456 series = {Lecture Notes in Statistics} }
0457
0458 @ARTICLE{mEDE98c,
0459 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0460 TITLE ={Inverting construction {$Y_1$}},
0461 JOURNAL = {{IEEE} Transactions on Information Theory},
0462 YEAR ={1998},
0463 VOLUME ={44},
0464 PAGES ={1993},
0465 }
0466
0467 @ARTICLE{mEDE98b,
0468 AUTHOR = "Y.~Edel and Eric M. Rains and Neil J. A. Sloane",
0469 TITLE ={On Kissing Numbers in Dimensions 32 to 128},
0470 JOURNAL = {Electronic Journal of Combinatorics},
0471 YEAR ={1998},
0472 VOLUME ={5},
0473 NUMBER ={1},
0474 PAGES ={R22},
0475 }
0476
0477 @ARTICLE{mEDE99a,
0478 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0479 TITLE ={Some codes related to {BCH}-codes of low dimension},
0480 JOURNAL = {Discrete Mathematics},
0481 YEAR ={1999},
0482 VOLUME ={205},
0483 PAGES ={57--64},
0484 ANNOTE ={reprinted in the special volume
0485 ``Discrete Mathematics'' Editor's Choice 1999},
0486 }
0487
0488 @ARTICLE{mEDE99b,
0489 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0490 TITLE ={41 is the largest size of a cap in {PG$(4,4)$}},
0491 JOURNAL = {Designs, Codes and Cryptography},
0492 YEAR ={1999},
0493 VOLUME ={16},
0494 PAGES ={151--160},
0495 }
0496
0497 @ARTICLE{mEDE99c,
0498 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0499 TITLE ={Recursive constructions for large caps},
0500 JOURNAL = {Bulletin of the Belgian Mathematical Society - Simon Stevin},
0501 YEAR ={1999},
0502 VOLUME ={6},
0503 PAGES ={249--258},
0504 }
0505
0506 @INPROCEEDINGS{mEDE99d,
0507 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0508 TITLE ={A family of caps in projective 4-space in characteristic 2},
0509 BOOKTITLE = {Congressus Numerantium,
0510 Proceedings of the Southeastern Conference 1999},
0511 YEAR ={1999},
0512 VOLUME ={6},
0513 PAGES ={191--202},
0514 }
0515
0516 @ARTICLE{mEDE01a,
0517 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0518 TITLE ={Large caps in small spaces},
0519 JOURNAL = {Designs, Codes and Cryptography},
0520 YEAR ={2001},
0521 VOLUME ={23},
0522 PAGES ={197--212},
0523 }
0524
0525 @ARTICLE{mEDE01b,
0526 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0527 TITLE ={Families of ternary {$(t,m,s)$}-nets related to {BCH}-codes},
0528 JOURNAL = {Monatshefte f{\"u}r Mathematik},
0529 YEAR ={2001},
0530 VOLUME ={132},
0531 PAGES ={99--103},
0532 }
0533
0534 @ARTICLE{mEDE01c,
0535 AUTHOR = "Yves Edel and Sandy Ferret and Ivan Landjev and Leo Storme",
0536 TITLE ={The classification of the largest caps in {AG$(5,3)$}},
0537 JOURNAL = {Journal of Combinatorial Theory {(A)}},
0538 YEAR ={2001},
0539 VOLUME ={99},
0540 PAGES ={95--110},
0541 }
0542
0543 @ARTICLE{mEDE04a,
0544 AUTHOR = "Yves Edel",
0545 TITLE ={Extensions of generalized product caps},
0546 JOURNAL = {Designs, Codes and Cryptography},
0547 YEAR ={2004},
0548 VOLUME ={31},
0549 PAGES ={5--14},
0550 }
0551
0552 @ARTICLE{mEDE04b,
0553 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0554 TITLE ={Caps of order {$3q^2$} in affine 4-space in characteristic 2},
0555 JOURNAL ={Finite Fields and their Applications},
0556 YEAR ={2004},
0557 VOLUME ={10},
0558 PAGES ={168--182},
0559 }
0560
0561 @ARTICLE{mEDE05a,
0562 AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer",
0563 TITLE ={Families of nets of low and medium strength},
0564 JOURNAL ={Integers: Electronic Journal of Combinatorial Number Theory},
0565 YEAR ={2005},
0566 VOLUME ={5},
0567 NUMBER = {3},
0568 NOTE ={{http://www.integers-ejcnt.org/vol5-3.html}},
0569 }
0570
0571 @ARTICLE{mEDE06a,
0572 AUTHOR = "Yves Edel and Gohar Kyureghyan and Alexander Pott",
0573 TITLE ={A new {APN} function which is not equivalent to a power mapping},
0574 JOURNAL ={{IEEE} Transactions on Information Theory},
0575 YEAR ={2006},
0576 VOLUME ={52},
0577 NUMBER = {2},
0578 PAGES ={744--747},
0579 }
0580
0581 @ARTICLE{mEDE07a,
0582 AUTHOR = "Yves Edel and Leo Storme and Peter Sziklai",
0583 TITLE ={New upper bounds for the sizes of caps in {PG$(N,5)$} and
0584 {PG$(N,7)$}},
0585 JOURNAL ={Journal of Combinatorial Mathematics and Combinatorial Computing},
0586 YEAR ={{\noopsort{a}} to appear },
0587 }
0588
0589 @ARTICLE{mEDE07b,
0590 AUTHOR = "Yves Edel and Christian Elsholtz and Alfred Geroldinger
0591 and Silke Kubertin and Laurence Rackham",
0592 TITLE ={Zero-sum problems in finite abelian groups and affine caps},
0593 JOURNAL ={Quarterly Journal of Mathematics},
0594 YEAR ={{\noopsort{a}} to appear },
0595 }
0596
0597 @ARTICLE{mEDE07c,
0598 AUTHOR = "Yves Edel",
0599 TITLE ={A Product Construction for Sequences in Finite Abelian
0600 Groups {$G$} of odd Order without Zero-Sum Subsequences
0601 of Length {$exp(G)$}},
0602 JOURNAL ={Designs, Codes and Cryptography},
0603 YEAR ={{\noopsort{b}} submitted },
0604 }
0605
0606 @book{mEVA00a,
0607 author = {M. Evans and T. Swartz},
0608 title = {Approximating Integrals via {M}onte {C}arlo and
0609 Deterministic Methods},
0610 publisher = {Oxford University Press},
0611 year = {2000},
0612 address = {Oxford, UK},
0613 OPTnote = {},
0614 OPTannote = {}
0615 }
0616
0617 @ARTICLE {mFIN85a,
0618 AUTHOR="U. Fincke and M. Pohst",
0619 TITLE="Improved Methods for Calculating Vectors of Short Length in a
0620 Lattice, Including a Complexity Analysis",
0621 JOURNAL={Mathematics of Computation},
0622 VOLUME={44},
0623 YEAR={1985},
0624 PAGES={463--471} }
0625
0626 @BOOK {mFOL92a,
0627 xcote = {QA403.5.F65},
0628 AUTHOR="G. B. Folland",
0629 TITLE={Fourier Analysis and its Applications},
0630 PUBLISHER="Wadsworth and Brooks",
0631 address = {Pacific Grove, California},
0632 YEAR={1992} }
0633
0634 @BOOK {mGOL89a,
0635 AUTHOR="G. H. Golub and Ch. F. {Van Loan}",
0636 TITLE={Matrix Computations},
0637 EDITION={second},
0638 PUBLISHER="John Hopkins University Press",
0639 ADDRESS="Baltimore",
0640 YEAR={1989} }
0641
0642 @BOOK {mGOL91a,
0643 AUTHOR = {B. Golubov and A. Efimov and V. Skvortsov},
0644 TITLE = {Walsh Series and Transforms: Theory and Applications},
0645 SERIES = {Mathematics and Applications: Soviet Series},
0646 VOLUME = {64},
0647 PUBLISHER = {Kluwer Academic Publishers},
0648 ADDRESS = {Boston},
0649 YEAR = {1991} }
0650
0651 @BOOK {mGOL96a,
0652 AUTHOR="G. H. Golub and Ch. F. {Van Loan}",
0653 TITLE={Matrix Computations},
0654 EDITION={third},
0655 PUBLISHER="John Hopkins University Press",
0656 ADDRESS="Baltimore",
0657 YEAR={1996} }
0658
0659 @Book{mGOL98a,
0660 author = {J. R. Goldman},
0661 title = {The Queen of Mathematics: A Historically Motivated
0662 Guide to Number Theory},
0663 publisher = {A K Peters},
0664 year = {1998},
0665 address = {Wellesley, MA, USA},
0666 annote = {number theory, Minkowski, lattices}
0667 }
0668
0669 @book{mGOO88a,
0670 author = "R. Goodman",
0671 title = "Introduction to Stochastic Models",
0672 publisher = "Benjamin/Cumming",
0673 ADDRESS={Menlo Park, California, USA},
0674 year = {1988}
0675 }
0676
0677 @incollection {mGOT94a,
0678 AUTHOR = {G{\"o}ttfert, Rainer and Niederreiter, Harald},
0679 TITLE = {Hasse-{T}eichm\"uller derivatives and products of linear
0680 recurring sequences},
0681 BOOKTITLE = {Finite fields: theory, applications, and algorithms (Las Vegas,
0682 NV, 1993)},
0683 PAGES = {117--125},
0684 SERIES = {Contemp. Math.},
0685 VOLUME = {168},
0686 PUBLISHER = {Amer. Math. Soc.},
0687 ADDRESS = {Providence, RI},
0688 YEAR = {1994},
0689 }
0690
0691 @article {mGOT95a,
0692 AUTHOR = {G{\"o}ttfert, Rainer and Niederreiter, Harald},
0693 TITLE = {On the minimal polynomial of the product of linear recurring
0694 sequences},
0695 NOTE = {Special issue dedicated to Leonard Carlitz},
0696 JOURNAL = {Finite Fields and their Applications},
0697 VOLUME = {1},
0698 YEAR = {1995},
0699 NUMBER = {2},
0700 PAGES = {204--218},
0701 ISSN = {1071-5797},
0702 }
0703
0704 @BOOK {mGRA81a,
0705 AUTHOR = "A. Graham",
0706 TITLE = "Kronecker Products and Matrix Calculus: with Applications",
0707 SERIES = "Ellis Horwood series in mathematics and its applications",
0708 PUBLISHER = "Halsted Press",
0709 ADDRESS = "Chichester",
0710 YEAR = "1981"}
0711
0712 @BOOK {mGRA03a,
0713 AUTHOR="A. Granas and J. Dugundji",
0714 TITLE="Fixed Point Theory",
0715 PUBLISHER={Springer-Verlag},
0716 ADDRESS={New York},
0717 YEAR={2003} }
0718
0719 @BOOK {mGRU87a,
0720 AUTHOR="P. M. Gruber and C. G. Lekkerkerker",
0721 TITLE="Geometry of Numbers",
0722 PUBLISHER={North-Holland},
0723 ADDRESS={Amsterdam},
0724 YEAR={1987} }
0725
0726 @INCOLLECTION {mGRU93a,
0727 AUTHOR="P. M. Gruber",
0728 TITLE="Geometry of Numbers",
0729 BOOKTITLE={Handbook of Convex Geometry},
0730 EDITOR={P. M. Gruber and J. M. Wills},
0731 PUBLISHER={Elsevier Science Publishers},
0732 YEAR={1993},
0733 PAGES={739--763} }
0734
0735 @BOOK {mGUI99a,
0736 AUTHOR="C. Guilpin",
0737 TITLE={Manuel de Calcul Num\'erique Appliqu\'e},
0738 PUBLISHER="EDP sciences",
0739 ADDRESS={Les Ulis, France},
0740 YEAR={1999}}
0741
0742 @article{mHAB83a,
0743 old = {Haber:83},
0744 author={S. Haber},
0745 title={Parameters for integrating periodic functions of several variables},
0746 journal={Mathematics of Computation},
0747 volume=41,
0748 pages={115-129},
0749 year=1983}
0750
0751 @BOOK {mHEC81a,
0752 AUTHOR="E. Hecke",
0753 TITLE={Lectures on the Theory of Algebraic Numbers},
0754 PUBLISHER="Springer-Verlag",
0755 ADDRESS={New York},
0756 YEAR={1981}}
0757
0758 @BOOK {mHED99a,
0759 AUTHOR="A. S. Hedayat and N. J. A. Sloane and J. Stufken",
0760 TITLE={Orthogonal Arrays: Theory and Applications},
0761 PUBLISHER="Springer-Verlag",
0762 ADDRESS={New York},
0763 YEAR={1999}}
0764
0765 @InProceedings{mHEI02a,
0766 author = {S. Heinrich and E. Nowak},
0767 title = {Optimal Summation and Integration by Deterministic,
0768 Randomized, and Quantum Algorithms },
0769 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
0770 pages = {50--62},
0771 year = {2002},
0772 editor = {K.-T. Fang and F. J. Hickernell and H. Niederreiter},
0773 address = {Berlin},
0774 publisher = {Springer-Verlag},
0775 }
0776
0777 @ARTICLE {mHEL85a,
0778 AUTHOR="B. Helfrich",
0779 TITLE="Algorithms to Construct {M}inkowski-Reduced and
0780 {H}ermite-Reduced Lattice Bases",
0781 JOURNAL={Theoretical Computer Science},
0782 VOLUME={41},
0783 YEAR={1985},
0784 PAGES={125--139} }
0785
0786 @ARTICLE {mHIG05a,
0787 author = "N. J. Higham",
0788 title = "The scaling and squaring method for the matrix exponential revisited",
0789 journal ="SIAM Journal on Matrix Analysis and Applications",
0790 volume = "26",
0791 number="4",
0792 pages ="1179--1193",
0793 year = "2005"
0794 }
0795
0796 @ARTICLE {mHIG09a,
0797 author = "N. J. Higham",
0798 title = "The Scaling and Squaring Method for the Matrix Exponential Revisited",
0799 journal ="{SIAM} Review",
0800 volume = "51",
0801 number={4},
0802 pages ="747--764",
0803 year = "2009"}
0804
0805 @book {mHIR85a,
0806 AUTHOR="J.~W.~P.~Hirschfeld",
0807 TITLE="Finite Projective Spaces of Three Dimensions",
0808 PUBLISHER="Clarendon Press",
0809 ADDRESS={Oxford},
0810 YEAR={1985},
0811 }
0812
0813 @ARTICLE {mHLA61a,
0814 author = "E. Hlawka",
0815 title = "Funktionen von beschr{\"a}nkter Variation in der Theorie der
0816 Gleichverteilung",
0817 journal ="Ann. Mat. Pura. Appl.",
0818 volume = "54",
0819 pages ="325--333",
0820 year = "1961"}
0821
0822
0823 @ARTICLE {mHLA62a,
0824 author = "E. Hlawka",
0825 title = "Zur angen{\"a}herten Berechnung mehrfacher Integrale",
0826 journal ="Monatshefte f{\"u}r Mathematik",
0827 volume = "66",
0828 pages ="140--151",
0829 year = "1962"}
0830
0831 @INCOLLECTION {mHLA71a,
0832 author = "E. Hlawka",
0833 title = "Discrepancy and {R}iemann integration",
0834 booktitle ="Studies in Pure Mathematics:
0835 papers in combinatorial theory, analysis geometry,
0836 algebra and the theory of numbers",
0837 publisher= "Academic Press",
0838 editor = "L. Mirsky",
0839 pages ="121--129",
0840 year = "1971"}
0841
0842 @ARTICLE {mHLA72a,
0843 author = "E. Hlawka and R. M{\"u}ck",
0844 title = "{\"Uber} Eine Transformation von Gleichverteilten Folgen {II}",
0845 journal ="Computing",
0846 volume = "9",
0847 pages ="127--138",
0848 year = "1972"}
0849
0850 @BOOK {mHUA81a,
0851 AUTHOR="L. Hua and Y. Wang",
0852 TITLE="Applications of Number Theory to Numerical Analysis",
0853 PUBLISHER={Springer-Verlag},
0854 ADDRESS={Berlin},
0855 YEAR={1981} }
0856
0857 @ARTICLE {mITO88a,
0858 author = "T. Itoh and S. Tsujii",
0859 title = "A Fast Algorithm for computing Multiplicative Inverses in
0860 {GF}($2^m$) Using Normal Bases",
0861 journal ="Information and computation",
0862 volume = "78",
0863 pages ="171--177",
0864 year = "1988"}
0865
0866 @ARTICLE {mJOY71a,
0867 author = "D. C. Joyce",
0868 title = "Survey of Extrapolation Processes in Numerical Analysis",
0869 journal ="{SIAM} Review",
0870 volume = "13",
0871 number={4},
0872 pages ="435--490",
0873 year = "1971"}
0874
0875 @Book{mKAR88a,
0876 author = {I. Karatzas and S. Shreve},
0877 ALTeditor = {},
0878 title = {Brownian Motion and Stochastic Calculus},
0879 publisher = {Springer-Verlag},
0880 year = {1988},
0881 address = {New York},
0882 edition = {second},
0883 OPTannote = {}
0884 }
0885
0886 @Book{mKLO92a,
0887 author = {P. E. Kloeden and E. Platen},
0888 ALTeditor = {},
0889 title = {Numerical Solutions of Stochastic Differential Equations},
0890 publisher = {Springer-Verlag},
0891 year = {1992},
0892 address = {Berlin},
0893 OPTedition = {third printing in 1999},
0894 OPTannote = {}
0895 }
0896
0897 @BOOK {mKOB87a,
0898 AUTHOR="N. Koblitz",
0899 TITLE={A Course In Number Theory and Cryptography},
0900 PUBLISHER="Springer-Verlag",
0901 YEAR={1987},
0902 VOLUME={114},
0903 SERIES={Graduate Texts in Mathematics},
0904 ADDRESS={New York} }
0905
0906 @Article{mKOR59a,
0907 author = {N. M. Korobov},
0908 title = {The Approximate Computation of Multiple Integrals},
0909 journal = {Dokl. Akad. Nauk {SSSR}},
0910 year = {1959},
0911 volume = {124},
0912 pages = {1207--1210},
0913 note = {in Russian},
0914 }
0915
0916 @Article{mKOR60a,
0917 author = {N. M. Korobov},
0918 title = {Properties and Calculation of Optimal Coefficients},
0919 journal = {Dokl. Akad. Nauk {SSSR}},
0920 year = {1960},
0921 volume = {132},
0922 pages = {1009--1012},
0923 note = {in Russian},
0924 }
0925
0926 @Article{mKOR82a,
0927 author = {N. M. Korobov},
0928 title = {On the Computation of Optimal Coefficients},
0929 journal = {Dokl. Akad. Nauk {SSSR}},
0930 year = {1982},
0931 volume = {267},
0932 pages = {289--292},
0933 note = {in Russian},
0934 }
0935
0936 @book {mKOR92a,
0937 author = {N. M. Korobov},
0938 title = {Exponential Sums and their Applications},
0939 publisher = {Kluwer Academic},
0940 year = {1992},
0941 address = {Dordrecht, Netherlands}}
0942
0943 @Article{mKUM00a,
0944 author = "T. Kumada and H. Leeb and Y. Kurita and M. Matsumoto",
0945 title = "New primitive $t$-nomials $(t = 3,5)$ over {$GF(2)$}
0946 whose degree is a {Mersenne} exponent",
0947 journal = "Mathematics of Computation",
0948 volume = "69",
0949 number = "230",
0950 pages = "811--814",
0951 year = "2000",
0952 CODEN = "MCMPAF",
0953 ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
0954 bibdate = "Wed Nov 1 11:50:03 MST 2000",
0955 bibsource = "http://www.ams.org/mcom/2000-69-230",
0956 Xnote = "See corrigenda \cite{mKUM02a}",
0957 note = "See also corrigenda in 71, 239 (2002), 1337--1338",
0958 URL = "http://www.ams.org/journal-getitem?pii=S0025-5718-99-01168-0;
0959 http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.pdf;
0960 http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.dvi;
0961 http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.tex;
0962 http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.ps",
0963 acknowledgement = ack-nhfb,
0964 }
0965
0966 @Article{mKUM02a,
0967 author = "T. Kumada and H. Leeb and Y. Kurita and M. Matsumoto",
0968 title = "Corrigenda to {``New primitive $t$-nomials $(t=3,5)$
0969 over $GF(2)$ whose degree is a Mersenne exponent,''}
0970 and some new primitive pentanomials",
0971 journal = "Mathematics of Computation",
0972 volume = "71",
0973 number = "239",
0974 pages = "1337--1338",
0975 year = "2002",
0976 CODEN = "MCMPAF",
0977 ISSN = "0025-5718",
0978 bibdate = "Fri Nov 22 10:22:22 MST 2002",
0979 bibsource = "http://www.ams.org/mcom/2002-71-239",
0980 note = "See \cite{mKUM00a}.",
0981 URL = "http://www.ams.org/journal-getitem?pii=S0025-5718-02-01487-4;
0982 http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.pdf;
0983 http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.dvi;
0984 http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.tex;
0985 http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.ps",
0986 acknowledgement = ack-nhfb,
0987 }
0988
0989 @article{mKUO05a,
0990 author = {F. Y. Kuo and I. H. Sloan},
0991 title = {Lifting the Curse of Dimensionality},
0992 journal = {Notices of the {AMS}},
0993 volume = {52},
0994 number = {11},
0995 year = {2005},
0996 pages = {1320--1328}
0997 }
0998
0999 @article{mKUO08a,
1000 author = {F. Y. Kuo and I. H. Sloan and H. Wo\'zniakowski},
1001 title = {Lattice Rule Algorithms for Multivariate Approximation
1002 in the Average Case Setting},
1003 journal = {Journal of Complexity},
1004 volume = {24},
1005 OPTnumber = {},
1006 year = {2008},
1007 pages = {283--323}
1008 }
1009
1010 @BOOK {mLAN73a,
1011 AUTHOR = "S. Lang",
1012 TITLE = {Elliptic functions},
1013 PUBLISHER = {Addison-Wesley},
1014 ADDRESS = {Reading, Mass.},
1015 YEAR = {1973} }
1016
1017 @incollection {mLAR93a,
1018 AUTHOR = {Larcher, Gerhard and Niederreiter, Harald},
1019 TITLE = {A lower bound for the dispersion of multidimensional sequences},
1020 BOOKTITLE = {Analytic number theory and related topics (Tokyo, 1991)},
1021 PAGES = {81--85},
1022 PUBLISHER = {World Sci. Publishing},
1023 ADDRESS = {River Edge, NJ},
1024 YEAR = {1993},
1025 }
1026
1027 @article {mLAR95a,
1028 AUTHOR = {Larcher, Gerhard and Niederreiter, Harald},
1029 TITLE = {Generalized $(t,s)$-sequences, {K}ronecker-type sequences, and
1030 {D}iophantine approximations of formal {L}aurent series},
1031 JOURNAL = {Trans. Amer. Math. Soc.},
1032 FJOURNAL = {Transactions of the American Mathematical Society},
1033 VOLUME = {347},
1034 YEAR = {1995},
1035 NUMBER = {6},
1036 PAGES = {2051--2073},
1037 ISSN = {0002-9947},
1038 CODEN = {TAMTAM},
1039 }
1040
1041 @ARTICLE {mLEN82a,
1042 AUTHOR="A. K. Lenstra and H. W. Lenstra and L. Lov{\'a}sz",
1043 TITLE="Factoring Polynomials with Rational Coefficients",
1044 JOURNAL={Math. Ann.},
1045 VOLUME={261},
1046 PAGES={515--534},
1047 YEAR={1982} }
1048
1049 @ARTICLE {mLEN85a,
1050 AUTHOR="A. K. Lenstra",
1051 TITLE="Factoring Multivariate Polynomials over Finite Fields",
1052 JOURNAL={Journal of Computer and System Sciences},
1053 VOLUME={30},
1054 YEAR={1985},
1055 PAGES={235--248} }
1056
1057 @BOOK {mLID86a,
1058 AUTHOR="R. Lidl and H. Niederreiter",
1059 TITLE={Introduction to Finite Fields and Their Applications},
1060 PUBLISHER="Cambridge University Press",
1061 ADDRESS={Cambridge},
1062 YEAR={1986} }
1063
1064 @BOOK {mLID94a,
1065 AUTHOR="R. Lidl and H. Niederreiter",
1066 TITLE={Introduction to Finite Fields and Their Applications},
1067 EDITION = {Revised},
1068 PUBLISHER="Cambridge University Press",
1069 ADDRESS={Cambridge},
1070 YEAR={1994} }
1071
1072 @incollection {mLID96a,
1073 AUTHOR = {Lidl, Rudolf and Niederreiter, Harald},
1074 TITLE = {Finite fields and their applications},
1075 BOOKTITLE = {Handbook of algebra, Vol.\ 1},
1076 PAGES = {321--363},
1077 PUBLISHER = {North-Holland},
1078 ADDRESS = {Amsterdam},
1079 YEAR = {1996},
1080 }
1081
1082 @book {mLID97a,
1083 AUTHOR = {Lidl, Rudolf and Niederreiter, Harald},
1084 TITLE = {Finite fields},
1085 EDITION = {Second},
1086 xNOTE = {With a foreword by P. M.\ Cohn},
1087 SERIES = {Encyclopedia of Mathematics and its Applications},
1088 VOLUME = {20},
1089 PUBLISHER = {Cambridge University Press},
1090 ADDRESS = {Cambridge},
1091 YEAR = {1997},
1092 ISBN = {0-521-39231-4},
1093 }
1094
1095 @book{mLIN92a,
1096 author = {T. Lindvall},
1097 title = {Lectures on the Coupling Method},
1098 publisher = {John Wiley},
1099 series={Wiley Series in Probability and Mathematical Statistics},
1100 ADDRESS={New York},
1101 year = {1992}
1102 }
1103
1104 @BOOK {mLOV86a,
1105 AUTHOR="L. Lov{\'a}sz",
1106 TITLE={An Algorithmic Theory of Numbers, Graphs and Convexity},
1107 SERIES={SIAM CBMS-NSF Regional Conference Series in
1108 Applied Mathematics},
1109 NUMBER={50},
1110 PUBLISHER="SIAM",
1111 ADDRESS={Philadelphia},
1112 YEAR={1986} }
1113
1114 @article {mLYN89a,
1115 AUTHOR = {Lyness, J. N. and Sloan, I. H.},
1116 TITLE = {Some properties of rank-$2$ lattice rules},
1117 JOURNAL = {Mathematics of Computation},
1118 VOLUME = {53},
1119 YEAR = {1989},
1120 NUMBER = {188},
1121 PAGES = {627--637},
1122 ISSN = {0025-5718},
1123 }
1124
1125 @article {mLYN97a,
1126 AUTHOR = {Lyness, J. N. and Sloan, I. H.},
1127 TITLE = {Cubature rules of prescribed merit},
1128 JOURNAL = {SIAM Journal on Numerical Analysis},
1129 VOLUME = {34},
1130 YEAR = {1997},
1131 NUMBER = {2},
1132 PAGES = {586--602},
1133 ISSN = {0036-1429},
1134 }
1135
1136 @ARTICLE {mMAH41a,
1137 AUTHOR="K. Mahler",
1138 TITLE="An Analogue to {M}inkowski's Geometry of Numbers in a
1139 Field of Series",
1140 JOURNAL={Annals of Mathematics},
1141 VOLUME={42},
1142 NUMBER={2},
1143 YEAR={1941},
1144 PAGES={488-522} }
1145
1146 @ARTICLE {mMAH83a,
1147 AUTHOR="K. Mahler",
1148 TITLE="On a theorem in the geometry of numbers in a space
1149 of {L}aurent series",
1150 JOURNAL={Journal of Number Theory},
1151 VOLUME={17},
1152 YEAR={1983},
1153 PAGES={403-416} }
1154
1155 @Book {mMAR03a,
1156 author = {J. Martinet},
1157 title = {Perfect Lattices in {E}uclidean Spaces},
1158 publisher = {Springer-Verlag},
1159 year = {2003},
1160 OPTcote = {QA3 G78 v.327},
1161 address = {Berlin},
1162 OPTannote = {lattice}
1163 }
1164
1165 @ARTICLE {mMAS69a,
1166 AUTHOR="J. L. Massey",
1167 TITLE = "Shift-register synthesis and {BCH} decoding",
1168 JOURNAL ="IEEE Trans. Inf. Theor",
1169 YEAR = {1969},
1170 VOLUME = {IT-15},
1171 PAGES = {122-127}}
1172
1173 @Book {mMAT99a,
1174 author = {J. Matou\v{s}ek},
1175 ALTeditor = {},
1176 title = {Geometric Discrepancy: An Illustrated Guide},
1177 publisher = {Springer-Verlag},
1178 year = {1999},
1179 OPTcote = {QA241.7 M38},
1180 address = {Berlin},
1181 OPTannote = {discrepancy, uniformity}
1182 }
1183
1184 @BOOK {mMCE86a,
1185 AUTHOR="R. J. McEliece",
1186 TITLE={Finite Fields for Computer Scientists and Engineers},
1187 PUBLISHER="Kluwer Academic Publishers",
1188 YEAR={1986},
1189 VOLUME={23},
1190 xSERIES={The Kluwer International Series in Engineering
1191 and Computer Science} }
1192
1193 @BOOK{mMEN96a,
1194 author = {A. J. Menezes and S. A. Vanstone and P. C. Van Oorschot},
1195 title = {Handbook of Applied Cryptography},
1196 year = {1996},
1197 isbn = {0849385237},
1198 publisher = {CRC Press, Inc.}
1199 }
1200
1201
1202 @BOOK{mMIG92a,
1203 author = {M. Mignotte},
1204 title = {Mathematics for computer algebra},
1205 year = {1992},
1206 isbn = {0387976752},
1207 publisher = {Springer-Verlag, New York Inc.}
1208 }
1209
1210
1211 @Book{mMIN11a,
1212 author = {H. Minkowski},
1213 ALTeditor = {},
1214 title = {Gesammelte Abhandlungen},
1215 publisher = {Teubner-Verlag},
1216 year = {1911},
1217 volume = {I and II},
1218 address = {Leipzig},
1219 OPTannote = {}
1220 }
1221
1222 @ARTICLE {mMON87a,
1223 AUTHOR="P. L. Montgomery",
1224 TITLE="Speeding the Pollard and Elliptic Curve
1225 Methods of Factorization",
1226 JOURNAL={Mathematics of Computation},
1227 VOLUME={48},
1228 NUMBER={177},
1229 YEAR={1987},
1230 PAGES={243--264} }
1231
1232 @TECHREPORT {mMOR88a,
1233 AUTHOR="F. Morain",
1234 TITLE="Implementation of the {A}tkin-{G}oldwasser-{K}ilian
1235 Primality Testing Algorithm",
1236 NUMBER={911},
1237 INSTITUTION={INRIA},
1238 ADDRESS={Rocquencourt, France},
1239 YEAR={1988} }
1240
1241 @BOOK {mNAR74a,
1242 AUTHOR="W. Narkiewicz",
1243 TITLE={Elementary and Analytic Theory of Algebraic Numbers},
1244 PUBLISHER="PWN--Polish Scientific Publishers ",
1245 ADDRESS={Warsaw},
1246 YEAR={1974}}
1247
1248 @BOOK {mNAR84a,
1249 AUTHOR="W. Narkiewicz",
1250 TITLE={Uniform Distribution of Sequences of Integers in
1251 Residue Classes},
1252 SERIES={Lecture Notes in Mathematics},
1253 NUMBER={1087},
1254 PUBLISHER="Springer-Verlag",
1255 YEAR={1984} }
1256
1257 @article {mNIE90a,
1258 AUTHOR = {Niederreiter, Harald},
1259 TITLE = {A short proof for explicit formulas for discrete logarithms in
1260 finite fields},
1261 JOURNAL = {Appl. Algebra Engrg. Comm. Comput.},
1262 FJOURNAL = {Applicable Algebra in Engineering, Communication and Computing},
1263 VOLUME = {1},
1264 YEAR = {1990},
1265 NUMBER = {1},
1266 PAGES = {55--57},
1267 ISSN = {0938-1279},
1268 CODEN = {AAECEW},
1269 }
1270
1271 @article {mNIE95a,
1272 AUTHOR = {G{\"o}ttfert, Rainer and Niederreiter, Harald},
1273 TITLE = {On the minimal polynomial of the product of linear recurring
1274 sequences},
1275 NOTE = {Special issue dedicated to Leonard Carlitz},
1276 JOURNAL = {Finite Fields Appl.},
1277 FJOURNAL = {Finite Fields and their Applications},
1278 VOLUME = {1},
1279 YEAR = {1995},
1280 NUMBER = {2},
1281 PAGES = {204--218},
1282 ISSN = {1071-5797},
1283 }
1284
1285 @article {mNIE95b,
1286 AUTHOR = {Niederreiter, Harald and Xing, Chao Ping},
1287 TITLE = {Low-discrepancy sequences obtained from algebraic function
1288 fields over finite fields},
1289 JOURNAL = {Acta Arith.},
1290 FJOURNAL = {Acta Arithmetica},
1291 VOLUME = {72},
1292 YEAR = {1995},
1293 NUMBER = {3},
1294 PAGES = {281--298},
1295 ISSN = {0065-1036},
1296 CODEN = {AARIA9},
1297 }
1298
1299 @article {mNIE96a,
1300 AUTHOR = {Niederreiter, H. and Sloan, I. H.},
1301 TITLE = {Variants of the {K}oksma-{H}lawka inequality for
1302 vertex-modified quasi-{M}onte {C}arlo integration rules},
1303 NOTE = {Monte Carlo and quasi-Monte Carlo methods},
1304 JOURNAL = {Mathematical and Computer Modelling},
1305 VOLUME = {23},
1306 YEAR = {1996},
1307 PAGES = {69--77},
1308 ISSN = {0895-7177},
1309 }
1310
1311 @article {mNIE96b,
1312 AUTHOR = {Niederreiter, Harald and Xing, Chaoping},
1313 TITLE = {Low-discrepancy sequences and global function fields with many
1314 rational places},
1315 JOURNAL = {Finite Fields and their Applications},
1316 VOLUME = {2},
1317 YEAR = {1996},
1318 NUMBER = {3},
1319 PAGES = {241--273},
1320 ISSN = {1071-5797},
1321 }
1322
1323 @article {mNIE96c,
1324 AUTHOR = {Niederreiter, Harald and Vielhaber, Michael},
1325 TITLE = {Tree complexity and a doubly exponential gap between structured
1326 and random sequences},
1327 JOURNAL = {J. Complexity},
1328 FJOURNAL = {Journal of Complexity},
1329 VOLUME = {12},
1330 YEAR = {1996},
1331 NUMBER = {3},
1332 PAGES = {187--198},
1333 ISSN = {0885-064X},
1334 }
1335
1336 @article {mNIE97a,
1337 AUTHOR = {Niederreiter, H. and Vielhaber, M.},
1338 TITLE = {Linear complexity profiles: {H}ausdorff dimensions for almost
1339 perfect profiles and measures for general profiles},
1340 JOURNAL = {Journal of Complexity},
1341 VOLUME = {13},
1342 YEAR = {1997},
1343 NUMBER = {3},
1344 PAGES = {353--383},
1345 ISSN = {0885-064X},
1346 }
1347
1348 @BOOK {mNOB77a,
1349 AUTHOR="B. Noble and J. W. Daniel",
1350 TITLE={Applied Linear Algebra},
1351 PUBLISHER={Prentice-Hall},
1352 ADDRESS={Englewood Cliffs, N.J.},
1353 Edition={second},
1354 YEAR={1977} }
1355
1356 @book{mNOR97a,
1357 author = {J. R. Norris},
1358 title = {{M}arkov Chains},
1359 series={Cambridge Series in Statistical and Probabilistic mathematics},
1360 year = {1997},
1361 ADDRESS={New York},
1362 publisher = {Cambridge University Press}
1363 }
1364
1365 @ARTICLE {mPAG97a,
1366 author = {G. Pag\`es},
1367 title = {A Space Quantization Method for Numerical Integration},
1368 journal = {Journal of Computational and Applied Mathematics},
1369 volume = {89},
1370 pages = {1--38},
1371 year = {1997}}
1372
1373 @ARTICLE {mPOH81a,
1374 AUTHOR="M. Pohst",
1375 TITLE="On the Computation of Lattice Vectors of
1376 Minimal Length, Successive Minima and
1377 Reduced Bases with Applications",
1378 JOURNAL={ACM SIGSAM Bulletin},
1379 VOLUME={15},
1380 YEAR={1961},
1381 PAGES={37--44} }
1382
1383 @TECHREPORT {mPOL93a,
1384 AUTHOR="D. S. G. Pollock ",
1385 TITLE="Smoothing with cubic splines",
1386 INSTITUTION={University of London, Queen Mary and Westfield College},
1387 ADDRESS={London},
1388 YEAR={1993} }
1389
1390 @Book{mPRA04a,
1391 author = {V. V. Prasolov},
1392 title = {Polynomials},
1393 series={Algorithms and computation in mathematics},
1394 volume={11},
1395 publisher = {Springer-Verlag},
1396 year = {2004},
1397 address = {Berlin}
1398 }
1399
1400 @BOOK{mPRE92a,
1401 edition={3d},
1402 author={W. H. Press and S. A. Teukolsky and W. T. Vetterling and B. P. Flannery},
1403 title={Numerical Recipes in {C}: The Art of Scientific Computing},
1404 publisher={Cambridge University Press},
1405 address={Cambridge},
1406 year=1992,
1407 }
1408
1409 @article {mPRI92a,
1410 AUTHOR = {Price, J. F. and Sloan, I. H.},
1411 TITLE = {Pointwise convergence of multiple {F}ourier series: sufficient
1412 conditions and an application to numerical integration},
1413 JOURNAL = {Journal of Mathematical Analysis and Applications},
1414 VOLUME = {169},
1415 YEAR = {1992},
1416 NUMBER = {1},
1417 PAGES = {140--156},
1418 ISSN = {0022-247X},
1419 }
1420
1421 @Book{mPRO04a,
1422 author = {P. E. Protter},
1423 title = {Stochastic Integration and Differential Equations},
1424 publisher = {Springer-Verlag},
1425 edition = {second},
1426 year = {2004},
1427 address = {Berlin}
1428 }
1429
1430 @Book{mQUA00a,
1431 author = {A. Quarteroni and R. Sacco and F. Saleri},
1432 title = {Numerical mathematics},
1433 publisher = {Springer},
1434 year = {2000},
1435 address = {New York}
1436 }
1437
1438 @Book{mROC70a,
1439 author = {R. T. Rockafellar},
1440 ALTeditor = {},
1441 title = {Convex Analysis},
1442 publisher = {Princeton University Press},
1443 year = {1970},
1444 address = {Princeton, New Jersey},
1445 OPTedition = {},
1446 OPTannote = {}
1447 }
1448
1449 @Book{mRUD74a,
1450 author = {W. Rudin},
1451 title = {Real and Complex Analysis},
1452 publisher = {McGraw-Hill},
1453 year = {1974},
1454 address = {New York},
1455 edition = {second},
1456 OPTannote = {}
1457 }
1458
1459 @Book{mRUD76a,
1460 author = {W. Rudin},
1461 title = {Principles of Mathematical Analysis},
1462 publisher = {McGraw-Hill},
1463 year = {1976},
1464 address = {New York},
1465 edition = {third},
1466 OPTannote = {}
1467 }
1468
1469 @ARTICLE {mRYS71a,
1470 AUTHOR="S. S. Ryshkov",
1471 TITLE="On the Reduction Theory of Positive Quadratic Forms",
1472 JOURNAL={Soviet Math. Doklady},
1473 NOTE={(Russian Translation)},
1474 VOLUME={12},
1475 YEAR={1971},
1476 PAGES={946--950} }
1477
1478 @ARTICLE {mRYS72a,
1479 AUTHOR="S. S. Ryshkov",
1480 TITLE="On Hermite, {M}inkowski, and {V}enkov Reduction of
1481 Positive Quadratic Forms in $n$ Variables",
1482 JOURNAL={Soviet Math. Doklady},
1483 NOTE={(Russian Translation)},
1484 VOLUME={13},
1485 YEAR={1972},
1486 PAGES={1676--1679}
1487 }
1488
1489 @article {mSID96a,
1490 AUTHOR = {A. Sidi},
1491 TITLE = {Extension and Completion of Wynn's Theory on Convergence of
1492 Columns of the Epsilon Table},
1493 JOURNAL = {Journal of Approximation Theory},
1494 VOLUME = {86},
1495 YEAR = {1996},
1496 PAGES = {21--40}
1497 }
1498
1499 @ARTICLE {mSIE35a,
1500 AUTHOR="C. L. Siegel",
1501 TITLE="{\"U}ber die {C}lassenzahl Quadratischer {Z}ahlk{\"o}rper",
1502 JOURNAL={Acta Arithmetica},
1503 VOLUME={1},
1504 PAGES={83--86},
1505 YEAR={1935} }
1506
1507 @book {mSIE89a,
1508 AUTHOR = "C. L. Siegel",
1509 title = {Lectures on the Geometry of Numbers},
1510 year = {1989},
1511 publisher = {Springer-Verlag},
1512 address = {New York},
1513 annote = {Minkowski, convex bodies, lattices, quadratic forms} }
1514
1515 @article {mSLO87a,
1516 AUTHOR = {Sloan, I. H. and Osborn, T. R.},
1517 TITLE = {Multiple integration over bounded and unbounded regions},
1518 JOURNAL = {Journal of Computational and Applied Mathematics},
1519 VOLUME = {17},
1520 YEAR = {1987},
1521 PAGES = {181--196},
1522 ISSN = {0377-0427},
1523 }
1524
1525 @article {mSLO90a,
1526 AUTHOR = {Sloan, I. H. and Lyness, J. N.},
1527 TITLE = {Lattice rules: projection regularity and unique
1528 representations},
1529 JOURNAL = {Mathematics of Computation},
1530 VOLUME = {54},
1531 YEAR = {1990},
1532 NUMBER = {190},
1533 PAGES = {649--660},
1534 ISSN = {0025-5718},
1535 }
1536
1537 @ARTICLE{mSLO90b,
1538 author = {I. H. Sloan and L. Walsh},
1539 title = {A computer search of rank 2 lattice
1540 rules for multidimensional quadrature},
1541 journal = {Mathematics of Computation},
1542 year = {1990},
1543 volume = {54},
1544 pages = {281--302},
1545 OPTannote = {}
1546 }
1547
1548 @book {mSLO94a,
1549 AUTHOR = {Sloan, I. H. and Joe, S.},
1550 TITLE = {Lattice methods for multiple integration},
1551 SERIES = {Oxford Science Publications},
1552 PUBLISHER = {The Clarendon Press Oxford University Press},
1553 ADDRESS = {New York},
1554 YEAR = {1994},
1555 ISBN = {0-19-853472-8},
1556 }
1557
1558 @article {mSLO97a,
1559 AUTHOR = {Sloan, I. H. and Wo{\'z}niakowski, H.},
1560 TITLE = {An intractability result for multiple integration},
1561 JOURNAL = {Mathematics of Computation},
1562 VOLUME = {66},
1563 YEAR = {1997},
1564 NUMBER = {219},
1565 PAGES = {1119--1124},
1566 ISSN = {0025-5718}
1567 }
1568
1569 @article {mSLO98a,
1570 AUTHOR = {Sloan, I. H. and Wo{\'z}niakowski, H.},
1571 TITLE = {When are Quasi-{M}onte {C}arlo Algorithms Efficient for
1572 High Dimensional Integrals},
1573 JOURNAL = {Journal of Complexity},
1574 VOLUME = {14},
1575 YEAR = {1998},
1576 PAGES = {1--33}
1577 }
1578
1579 @Article{mSON99a,
1580 author = {Y. Song},
1581 title = {A Note on an Error Bound for the {AOR} Method},
1582 journal = {{BIT}},
1583 year = {1999},
1584 OPTkey = {},
1585 volume = {39},
1586 number = {2},
1587 pages = {373--383},
1588 OPTannote = {accelerated successive overelaxation, solving AX=B}
1589 }
1590
1591 @Book{mSPA87a,
1592 author = {J. Spanier and K. B. Oldham},
1593 title = {An Atlas of Functions},
1594 publisher = {Hemisphere Publishing Corporation},
1595 year = {1987},
1596 address = {Washington}
1597 }
1598
1599 @Book{mSTR88a,
1600 author = {G. Strang},
1601 title = {Linear Algebra and its Applications},
1602 publisher = {Saunders},
1603 edition = {third},
1604 year = {1988},
1605 address = {Philadelphia, PA}
1606 }
1607
1608 @BOOK{mSTO80a,
1609 author={J. Stoer and R. Bulirsch},
1610 title={Introduction to Numerical Analysis},
1611 publisher={Springer-Verlag},
1612 address={New York},
1613 year=1980,
1614 }
1615
1616 @book{mTHO00a,
1617 author = {H. Thorisson},
1618 title = {Coupling, Stationarity, and Regeneration},
1619 year = {2000},
1620 series={Probability and its applications},
1621 ADDRESS={New York},
1622 publisher = {Springer-Verlag}
1623 }
1624
1625 @INPROCEEDINGS {mTHO01a,
1626 AUTHOR="E. Thom\'e",
1627 TITLE="Computation of Discrete Logarithms in {GF}(2\^{}607)",
1628 BOOKTITLE={Advances in Cryptology, Asiacrypt'2001},
1629 PUBLISHER={Springer-Verlag},
1630 SERIES={Lecture Notes in Computer Science},
1631 NUMBER={2369},
1632 PAGES={107--124},
1633 YEAR = {2001}
1634 }
1635
1636 @book{mVON03a,
1637 author = {J. {von zur Gathen} and J. Gerhard},
1638 title = {Modern Computer Algebra},
1639 year = {2003},
1640 ADDRESS={Cambridge, U.K.},
1641 publisher = {Cambridge University Press}
1642 }
1643
1644 @BOOK {mWAH90a,
1645 AUTHOR = {G. Wahba},
1646 TITLE = {Spline Models for Observational Data},
1647 year = {1990},
1648 SERIES={{SIAM CBMS-NSF} Regional Conference Series in Applied
1649 Mathematics},
1650 VOLUME={59},
1651 PUBLISHER="SIAM",
1652 ADDRESS={Philadelphia, PA},
1653 }
1654
1655 @BOOK {mWAL98a,
1656 AUTHOR = {R. E. Walpole and R. H. Myers and S. L. Myers},
1657 TITLE = {Probability and Statistics for Engineers and Scientists},
1658 year = {1998},
1659 publisher ={Prentice-Hall, Inc.},
1660 ADDRESS={New Jersey},
1661 edition = {sixth}
1662 }
1663
1664 @article {mWAN98a,
1665 AUTHOR = {Wang, S. and Sloan, I. H. and Kelly, D. W.},
1666 TITLE = {Computable error bounds for pointwise derivatives of a
1667 {N}eumann problem},
1668 JOURNAL = {IMA Journal of Numerical Analysis},
1669 VOLUME = {18},
1670 YEAR = {1998},
1671 NUMBER = {2},
1672 PAGES = {251--271},
1673 ISSN = {0272-4979}
1674 }
1675
1676 @Article{mWAR33a,
1677 author = {M. Ward},
1678 title = {The Arithmetical Theory of Linear Recurring Series},
1679 journal = {Transactions of the American Mathematical Society},
1680 year = {1933},
1681 volume = {35},
1682 pages = {600--628},
1683 OPTannote = {}
1684 }
1685
1686 @article {mWAS96a,
1687 AUTHOR = {G. W. Wasilkowski},
1688 TITLE = {Average Case Complexity of Multivariate Integration
1689 and Function Approximation},
1690 JOURNAL = {Journal of Complexity},
1691 VOLUME = {12},
1692 YEAR = {1996},
1693 PAGES = {257--272},
1694 keywords = {numerical integration}
1695 }
1696
1697 @BOOK{mWID89a,
1698 AUTHOR="D. V. Widder",
1699 TITLE={Advanced Calculus},
1700 EDITION={second},
1701 PUBLISHER={Dover},
1702 ADDRESS={New York},
1703 YEAR={1989}
1704 }
1705
1706 @article {mWYN66a,
1707 AUTHOR = {P. Wynn},
1708 TITLE = {On the Convergence and Stability of the Epsilon Algorithm},
1709 JOURNAL = {SIAM Journal of Numerical Analysis},
1710 VOLUME = {3},
1711 NUMBER = {1},
1712 YEAR = {1966},
1713 PAGES = {91--122}
1714 }
1715
1716 @BOOK {mWOL96a,
1717 AUTHOR="S. Wolfram",
1718 TITLE={The Mathematica Book},
1719 PUBLISHER={Wolfram Media/Cambridge University Press},
1720 ADDRESS={Champaign, USA},
1721 Edition={third},
1722 YEAR={1996} }
1723
1724 @Article{mWOZ91a,
1725 author = {H. W\'ozniakowski},
1726 title = {Average Case Complexity of Multivariate Integration},
1727 journal = {Bulletin of the American Mathematical Society},
1728 year = {1991},
1729 OPTkey = {},
1730 volume = {24},
1731 OPTnumber = {},
1732 pages = {185--194},
1733 OPTmonth = {},
1734 OPTnote = {},
1735 OPTannote = {}
1736 }
1737
1738 @Article{mWOZ03a,
1739 author = {H. W\'ozniakowski},
1740 title = {Open problems for tractability of multivariate integration},
1741 journal = {Journal of Complexity},
1742 year = {2003},
1743 volume = {19},
1744 pages = {434--444},
1745 OPTannote = {}
1746 }
1747
1748 @ARTICLE {mZIE68a,
1749 AUTHOR="N. Zierler and J. Brillhart",
1750 TITLE="On Primitive Trinomials (Mod 2)",
1751 JOURNAL={Information and Control},
1752 VOLUME={13},
1753 PAGES={541--554},
1754 YEAR={1968} }
1755
1756 @ARTICLE {mZIE69a,
1757 AUTHOR="N. Zierler and J. Brillhart",
1758 TITLE="On Primitive Trinomials (Mod 2), II",
1759 JOURNAL={Information and Control},
1760 VOLUME={14},
1761 PAGES={566--569},
1762 YEAR={1969} }
1763
1764 @ARTICLE {mZIE69b,
1765 AUTHOR="N. Zierler",
1766 TITLE="Primitive Trinomials whose Degree is a {M}ersenne Exponent",
1767 JOURNAL={Information and Control},
1768 VOLUME={15},
1769 PAGES={67--69},
1770 YEAR={1969} }
1771
1772 @Book {mZIP93a,
1773 author = {R. Zippel},
1774 title = {Effective Polynomial Computation},
1775 publisher = {Kluwer Academic},
1776 year = {1993},
1777 address = {Norwell, Mass.},
1778 OPTannote = {lattices, polynomial arithmetic, GCD, Euclid}
1779 }