@Book{mABR70a, author = {M. Abramowitz and I. A. Stegun}, title = {Handbook of Mathematical Functions}, publisher = {Dover}, year = {1970}, address = {New York} } @ARTICLE {mALA64a, AUTHOR="J. D. Alanen and D. E. Knuth", TITLE="Tables of Finite Fields", JOURNAL={SANKHY\=A: The Indian Journal of Statistics, Series A}, VOLUME={26}, YEAR={1964}, PAGES={305--328} } @ARTICLE {mBAB60a, AUTHOR="K. I. Babenko", TITLE="Approximation of Periodic Functions of Several Variables by Trigonometric Polynomials", JOURNAL={Soviet Mathematics Doklady}, VOLUME={1}, YEAR={1960}, PAGES={513--516} } @ARTICLE {mBAB60b, AUTHOR="K. I. Babenko", TITLE="Approximation by Trigonometric Polynomials in a Certain Class of Periodic Functions of Several Variables", JOURNAL={Soviet Mathematics Doklady}, VOLUME={1}, YEAR={1960}, PAGES={672--675} } @Book{mBAC96a, author = {E. Bach and J. Shallit}, title = {Algorithmic Number Theory}, publisher = {MIT Press}, year = {1996}, volume = {1}, address = {Cambridge, MA}, OPTannote = {number theory, complexity, finite fields, algorithms} } @TechReport{mBAG03a, Author = "R. Bagnara and A. Zaccagnini and T. Zolo", Title = "The Automatic Solution of Recurrence Relations. {I}. {Linear} Recurrences of Finite Order with Constant Coefficients", Type = "Quaderno", Number = 334, Institution = "Dipartimento di Matematica, Universit\`a di Parma, Italy", Year = 2003, Note = "Available at \url{http://www.cs.unipr.it/Publications/}", annote = {linear recurrences}, } @ARTICLE{mBAK59a, author = "N. S. Bakhvalov", title = "On Approximate Calculation of Multiple Integrals", journal = "Vestnik Moskovskogo Universiteta, Seriya Matematiki, Mehaniki, Astronomi, Fiziki, Himii", volume = "4", pages = "3--18", note ="In Russian", year = "1959"} @ARTICLE{mBAK62a, author = "N. S. Bakhvalov", title = "On the Rate of Convergence of Indeterministic Integration Processes within the Functional Classes $W_p^{(l)}$", journal = "Theory of Probability and its Applications", volume = "7", pages = "227", year = "1962"} @ARTICLE{mBAR79a, author = "D. L. Barrow and P. W. Smith", title = "Spline Notation Applied to a Volume Problem", journal = "The American Mathematical Monthly", volume = "86", pages = "50--51", year = "1979"} @INPROCEEDINGS{mBAR00a, AUTHOR = "J. Bar{\'a}t and Y. Edel and R. Hill and C. Jones and I. Landjev and L. Storme", TITLE ={Caps in {PG$(5,3)$} and {PG$(6,3)$}}, BOOKTITLE ={Proceedings of the Seventh International Workshop "Algebraic and Combinatorial Coding Theory" 18-24 June 2000, {B}ansko, {B}ulgaria}, YEAR ={2000}, PAGES ={65--67}, } @ARTICLE{mBAR04a, AUTHOR = "J. Bar{\'a}t and Y. Edel and R. Hill and L. Storme", TITLE ={On complete caps in the projective geometries over $\mathbb{F}_3$ {II:} New improvements}, JOURNAL = {Journal of Combinatorial Mathematics and Combinatorial Computing}, YEAR ={2004}, VOLUME ={49}, PAGES ={9--31}, } @Book{mBEA84a, author = "K. G. Beauchamp", title = "Applications of {W}alsh and related Functions", publisher = "Academic Press", year = "1984", address = "London", OPTannote = "" } @article{mBER70a, author = {E. R. Berlekamp}, title = {Factoring Polynomials over large finite fields}, journal = {Math. Comp.}, year = {1970}, volume = {24}, pages = {713--735}} @book{mBER84a, author = {E. R. Berlekamp}, title = {Algebraic coding theory}, publisher = {Aegean Park Press}, address = {Laguna Hills, CA, USA}, year = {1984} } @ARTICLE{mBIE94a, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={Theory of perpendicular arrays}, JOURNAL ={Journal of Combinatorial Designs}, YEAR ={1994}, VOLUME ={5}, PAGES ={375--406}, } @ARTICLE{mBIE96a, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel and Stephen Black", TITLE ={Some {$t$}-homogeneous sets of permutations}, JOURNAL ={Designs, Codes and Cryptography}, YEAR ={1996}, VOLUME ={9}, PAGES ={29--38}, } @ARTICLE{mBIE97a, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={New code-parameters from {R}eed-{S}olomon subfield codes}, JOURNAL = {{IEEE} Transactions on Information Theory}, YEAR ={1997}, VOLUME ={43}, PAGES ={953--968}, } @ARTICLE{mBIE97b, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={Extending and lengthening {$BCH$}-codes}, JOURNAL = {Finite Fields and their Applications}, YEAR ={1997}, VOLUME ={3}, PAGES ={314--333}, } @ARTICLE{mBIE97c, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={A family of 2-weight codes related to {$BCH$}-codes}, JOURNAL = {Journal of Combinatorial Designs}, YEAR ={1997}, VOLUME ={5}, PAGES ={391--396}, } @ARTICLE{mBIE99a, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={Halving {$PSL(2,q)$}}, JOURNAL = {Journal of Geometry}, YEAR ={1999}, VOLUME ={64}, PAGES ={51--54}, } @ARTICLE{mBIE99b, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel and Ludo Tolhuizen", TITLE ={New codes via the lengthening of {BCH} codes with {UEP} codes }, JOURNAL = {Finite Fields and their Applications}, YEAR ={1999}, VOLUME ={5}, PAGES ={345--353}, } @ARTICLE{mBIE00a, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={Quantum twisted codes}, JOURNAL = {Journal of Combinatorial Designs}, YEAR ={2000}, VOLUME ={8}, PAGES ={174--188}, } @ARTICLE{mBIE00a, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={Dense sphere packings from new codes}, JOURNAL = {Journal of Algebraic Combinatorics}, YEAR ={2000}, VOLUME ={11}, PAGES ={95--100}, } @ARTICLE{mBIE00b, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={A family of caps in projective 4-space in odd characteristic}, JOURNAL = {Finite Fields and their Applications}, YEAR ={2000}, VOLUME ={6 }, PAGES ={283--293 }, } @ARTICLE{mBIE01a, AUTHOR = "J{\"u}rgen Bierbrauer and Antonio Cossidente and Yves Edel", TITLE ={Caps on classical varieties and their projections}, JOURNAL = {European Journal of Combinatorics}, YEAR ={2001}, VOLUME ={22}, PAGES ={135--143}, } @ARTICLE{mBIE02a, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={Bounds on affine caps}, JOURNAL = {Journal of Combinatorial Designs}, YEAR ={2002}, VOLUME ={10}, PAGES ={111--115}, } @ARTICLE{mBIE02b, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel and Wolfgang Ch.Schmid", TITLE ={Coding-theoretic constructions for $(t,m,s)$-nets and ordered orthogonal arrays}, JOURNAL = {Journal of Combinatorial Designs}, YEAR ={2002}, VOLUME ={10}, PAGES ={403--418}, } @article{mBIE03a, author = {J. Bierbrauer}, title = {Large Caps}, journal = {Journal of Geometry}, year = {2003}, volume = {76}, pages = {16--51}} @ARTICLE{mBIE03b, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={The largest cap in {$AG(4,4)$} and its uniqueness}, JOURNAL ={Designs, Codes and Cryptography (Proceedings of Finite Geometries, {O}berwolfach 2001)}, YEAR ={2003}, VOLUME ={29}, PAGES ={99--104}, } @book{mBIE04a, author = {J. Bierbrauer}, title = {Introduction to Coding Theory}, publisher = {Chapman and Hall/CRC Press}, address = {Boca Raton, FL, USA}, year = {2004} } @ARTICLE{mBIE05a, AUTHOR = "J{\"u}rgen Bierbrauer and Yves Edel", TITLE ={A Family of Binary {$(t ,m, s)$}-Nets of Strength {$5$}}, JOURNAL ={Designs, Codes and Cryptography}, YEAR ={2005}, VOLUME ={37}, PAGES ={211--215}, } @Book{mBRE78a, author = "C. Brezinski", title = "Algorithmes d'Acc\'el\'eration de la Convergence", series = "Collection langages et algorithmes de l'informatique", publisher = "\'Editions Technip", year = "1978", address = "Paris", OPTannote = "" } @BOOK {mCAS97a, AUTHOR="J. Cassels", TITLE={An Introduction to the Geometry of Numbers}, series = {Classics in Mathematics}, PUBLISHER="Springer-Verlag", address = "Berlin", note = {Corrected reprint of the 1971 edition}, YEAR={1997} } @TECHREPORT {mCLE62a, AUTHOR="C. W. Clenshaw", TITLE="Chebychev Series for Mathematical Functions", INSTITUTION="Her Majesty's Stationery Office, London", type="National Physical Laboratory Mathematical Tables", YEAR={1962}, NUMBER={5}} @ARTICLE {mCOH87a, AUTHOR="H. Cohen and A. K. Lenstra", TITLE="Implementation of a New Primality Test", JOURNAL={Mathematics of Computation}, VOLUME={48}, YEAR={1987}, NUMBER={177}, PAGES={103--121} } @INPROCEEDINGS{mCOH96a, AUTHOR = "??", TITLE ={??}, booktitle = {Algorithmic Number Theory Symposium 1996}, editor = {H. Cohen}, publisher = {Springer-Verlag}, address = {Berlin}, year = {1996}, series = {Lecture Notes in computer science} } @BOOK {mCON72a, AUTHOR="S. D. Conte and C. {de Boor}", TITLE="Elementary Numerical Analysis: An Algorithmic Approach", PUBLISHER="McGraw-Hill", edition="second", YEAR={1972} } @BOOK {mCON80a, AUTHOR="S. D. Conte and C. {de Boor}", TITLE="Elementary Numerical Analysis: An Algorithmic Approach", PUBLISHER="McGraw-Hill", ADDRESS={New York, Montreal}, SERIES="International series in pure and applied mathematics", edition="third", YEAR={1980} } @BOOK {mCON88a, AUTHOR="J. H. Conway and N. J. A. Sloane", TITLE={Sphere Packings, Lattices and Groups}, PUBLISHER="Springer-Verlag", SERIES="Grundlehren der Mathematischen Wissenschaften 290", ADDRESS={New York}, YEAR={1988} } @BOOK {mCON99a, AUTHOR="J. H. Conway and N. J. A. Sloane", TITLE={Sphere Packings, Lattices and Groups}, PUBLISHER="Springer-Verlag", SERIES="Grundlehren der Mathematischen Wissenschaften 290", EDITION={3rd}, ADDRESS={New York}, cote = {QA 3 G78}, YEAR={1999} } @BOOK {mCON01a, AUTHOR="E. H. Connell", TITLE="Elements of Abstract and Linear Algebra", note={See \url{http:www.math.miami.edu/~ec/book/}}, YEAR={2001} } @BOOK {mDAL08a, AUTHOR="G. Dahlquist and A. Bjorck", TITLE={Numerical methods in scientific computing}, PUBLISHER="Society for Industrial and Applied Mathematics ({SIAM})", ADDRESS={Philadelphia}, YEAR={2008} } @BOOK {mDAV84a, AUTHOR="P. Davis and P. Rabinowitz", TITLE={Methods of Numerical Integration}, PUBLISHER="Academic Press", edition={second}, ADDRESS={New York}, YEAR={1984} } @Book{mDEB78a, author = {C. {de Boor}}, title = {A Practical Guide to Splines}, publisher = {Springer-Verlag}, year = {1978}, number = {27}, series = {Applied Mathematical Sciences Series}, address = {New York}, OPTannote = {} } @BOOK {mDEO74a, AUTHOR="N. Deo", TITLE={Graph Theory with Applications to Engineering and Computer Science}, PUBLISHER="Prentice-Hall", ADDRESS={Englewood Cliffs, N.J.}, YEAR={1974} } @Book{mDIE69a, author = {J. Dieudonn\'e}, title = {Foundations of Modern Analysis}, publisher = {Academic Press}, year = {1969}, address = {New York}, edition = {second}, OPTannote = {} } @Book{mDUM99a, author = {D.~S. Dummit and R.~M. Foote}, title = {Abstract Algebra}, publisher = {John Wiley and Sons}, year = {1999}, edition = {second}, OPTannote = {} } @ARTICLE{mEDE97a, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={Lengthening and the {G}ilbert-{V}arshamov bound}, JOURNAL = {{IEEE} Transactions on Information Theory}, YEAR ={1997}, VOLUME ={43}, PAGES ={991--992}, } @ARTICLE{mEDE97b, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={Twisted {BCH}-codes}, JOURNAL = {Journal of Combinatorial Designs}, YEAR ={1997}, VOLUME ={5}, PAGES ={377--389}, } @INPROCEEDINGS{mEDE98a, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={Construction of digital nets from {BCH}-codes}, booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996}, editor = {P. Hellekalek and G. Larcher and H. Niederreiter and P. Zinterhof}, publisher = {Springer-Verlag}, address = {New York}, volume = {127}, pages = {221--231}, year = {1998}, series = {Lecture Notes in Statistics} } @ARTICLE{mEDE98a, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={Inverting construction {$Y_1$}}, JOURNAL = {{IEEE} Transactions on Information Theory}, YEAR ={1998}, VOLUME ={44}, PAGES ={1993}, } @ARTICLE{mEDE98b, AUTHOR = "Y.~Edel and Eric M. Rains and Neil J. A. Sloane", TITLE ={On Kissing Numbers in Dimensions 32 to 128}, JOURNAL = {Electronic Journal of Combinatorics}, YEAR ={1998}, VOLUME ={5}, NUMBER ={1}, PAGES ={R22}, } @ARTICLE{mEDE99a, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={Some codes related to {BCH}-codes of low dimension}, JOURNAL = {Discrete Mathematics}, YEAR ={1999}, VOLUME ={205}, PAGES ={57--64}, ANNOTE ={reprinted in the special volume ``Discrete Mathematics'' Editor's Choice 1999}, } @ARTICLE{mEDE99b, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={41 is the largest size of a cap in {PG$(4,4)$}}, JOURNAL = {Designs, Codes and Cryptography}, YEAR ={1999}, VOLUME ={16}, PAGES ={151--160}, } @ARTICLE{mEDE99c, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={Recursive constructions for large caps}, JOURNAL = {Bulletin of the Belgian Mathematical Society - Simon Stevin}, YEAR ={1999}, VOLUME ={6}, PAGES ={249--258}, } @INPROCEEDINGS{mEDE99d, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={A family of caps in projective 4-space in characteristic 2}, BOOKTITLE = {Congressus Numerantium, Proceedings of the Southeastern Conference 1999}, YEAR ={1999}, VOLUME ={6}, PAGES ={191--202}, } @ARTICLE{mEDE01a, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={Large caps in small spaces}, JOURNAL = {Designs, Codes and Cryptography}, YEAR ={2001}, VOLUME ={23}, PAGES ={197--212}, } @ARTICLE{mEDE01b, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={Families of ternary {$(t,m,s)$}-nets related to {BCH}-codes}, JOURNAL = {Monatshefte f{\"u}r Mathematik}, YEAR ={2001}, VOLUME ={132}, PAGES ={99--103}, } @ARTICLE{mEDE01c, AUTHOR = "Yves Edel and Sandy Ferret and Ivan Landjev and Leo Storme", TITLE ={The classification of the largest caps in {AG$(5,3)$}}, JOURNAL = {Journal of Combinatorial Theory {(A)}}, YEAR ={2001}, VOLUME ={99}, PAGES ={95--110}, } @ARTICLE{mEDE04a, AUTHOR = "Yves Edel", TITLE ={Extensions of generalized product caps}, JOURNAL = {Designs, Codes and Cryptography}, YEAR ={2004}, VOLUME ={31}, PAGES ={5--14}, } @ARTICLE{mEDE04b, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={Caps of order {$3q^2$} in affine 4-space in characteristic 2}, JOURNAL ={Finite Fields and their Applications}, YEAR ={2004}, VOLUME ={10}, PAGES ={168--182}, } @ARTICLE{mEDE05a, AUTHOR = "Yves Edel and J{\"u}rgen Bierbrauer", TITLE ={Families of nets of low and medium strength}, JOURNAL ={Integers: Electronic Journal of Combinatorial Number Theory}, YEAR ={2005}, VOLUME ={5}, NUMBER = {3}, NOTE ={{http://www.integers-ejcnt.org/vol5-3.html}}, } @ARTICLE{mEDE06a, AUTHOR = "Yves Edel and Gohar Kyureghyan and Alexander Pott", TITLE ={A new {APN} function which is not equivalent to a power mapping}, JOURNAL ={{IEEE} Transactions on Information Theory}, YEAR ={2006}, VOLUME ={52}, NUMBER = {2}, PAGES ={744--747}, } @ARTICLE{mEDE07a, AUTHOR = "Yves Edel and Leo Storme and Peter Sziklai", TITLE ={New upper bounds for the sizes of caps in {PG$(N,5)$} and {PG$(N,7)$}}, JOURNAL ={Journal of Combinatorial Mathematics and Combinatorial Computing}, YEAR ={{\noopsort{a}} to appear }, } @ARTICLE{mEDE07b, AUTHOR = "Yves Edel and Christian Elsholtz and Alfred Geroldinger and Silke Kubertin and Laurence Rackham", TITLE ={Zero-sum problems in finite abelian groups and affine caps}, JOURNAL ={Quarterly Journal of Mathematics}, YEAR ={{\noopsort{a}} to appear }, } @ARTICLE{mEDE07c, AUTHOR = "Yves Edel", TITLE ={A Product Construction for Sequences in Finite Abelian Groups {$G$} of odd Order without Zero-Sum Subsequences of Length {$exp(G)$}}, JOURNAL ={Designs, Codes and Cryptography}, YEAR ={{\noopsort{b}} submitted }, } @book{mEVA00a, author = {M. Evans and T. Swartz}, title = {Approximating Integrals via {M}onte {C}arlo and Deterministic Methods}, publisher = {Oxford University Press}, year = {2000}, address = {Oxford, UK}, OPTnote = {}, OPTannote = {} } @ARTICLE {mFIN85a, AUTHOR="U. Fincke and M. Pohst", TITLE="Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis", JOURNAL={Mathematics of Computation}, VOLUME={44}, YEAR={1985}, PAGES={463--471} } @BOOK {mFOL92a, xcote = {QA403.5.F65}, AUTHOR="G. B. Folland", TITLE={Fourier Analysis and its Applications}, PUBLISHER="Wadsworth and Brooks", address = {Pacific Grove, California}, YEAR={1992} } @BOOK {mGOL89a, AUTHOR="G. H. Golub and Ch. F. {Van Loan}", TITLE={Matrix Computations}, EDITION={second}, PUBLISHER="John Hopkins University Press", ADDRESS="Baltimore", YEAR={1989} } @BOOK {mGOL91a, AUTHOR = {B. Golubov and A. Efimov and V. Skvortsov}, TITLE = {Walsh Series and Transforms: Theory and Applications}, SERIES = {Mathematics and Applications: Soviet Series}, VOLUME = {64}, PUBLISHER = {Kluwer Academic Publishers}, ADDRESS = {Boston}, YEAR = {1991} } @BOOK {mGOL96a, AUTHOR="G. H. Golub and Ch. F. {Van Loan}", TITLE={Matrix Computations}, EDITION={third}, PUBLISHER="John Hopkins University Press", ADDRESS="Baltimore", YEAR={1996} } @Book{mGOL98a, author = {J. R. Goldman}, title = {The Queen of Mathematics: A Historically Motivated Guide to Number Theory}, publisher = {A K Peters}, year = {1998}, address = {Wellesley, MA, USA}, annote = {number theory, Minkowski, lattices} } @book{mGOO88a, author = "R. Goodman", title = "Introduction to Stochastic Models", publisher = "Benjamin/Cumming", ADDRESS={Menlo Park, California, USA}, year = {1988} } @incollection {mGOT94a, AUTHOR = {G{\"o}ttfert, Rainer and Niederreiter, Harald}, TITLE = {Hasse-{T}eichm\"uller derivatives and products of linear recurring sequences}, BOOKTITLE = {Finite fields: theory, applications, and algorithms (Las Vegas, NV, 1993)}, PAGES = {117--125}, SERIES = {Contemp. Math.}, VOLUME = {168}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1994}, } @article {mGOT95a, AUTHOR = {G{\"o}ttfert, Rainer and Niederreiter, Harald}, TITLE = {On the minimal polynomial of the product of linear recurring sequences}, NOTE = {Special issue dedicated to Leonard Carlitz}, JOURNAL = {Finite Fields and their Applications}, VOLUME = {1}, YEAR = {1995}, NUMBER = {2}, PAGES = {204--218}, ISSN = {1071-5797}, } @BOOK {mGRA81a, AUTHOR = "A. Graham", TITLE = "Kronecker Products and Matrix Calculus: with Applications", SERIES = "Ellis Horwood series in mathematics and its applications", PUBLISHER = "Halsted Press", ADDRESS = "Chichester", YEAR = "1981"} @BOOK {mGRA03a, AUTHOR="A. Granas and J. Dugundji", TITLE="Fixed Point Theory", PUBLISHER={Springer-Verlag}, ADDRESS={New York}, YEAR={2003} } @BOOK {mGRU87a, AUTHOR="P. M. Gruber and C. G. Lekkerkerker", TITLE="Geometry of Numbers", PUBLISHER={North-Holland}, ADDRESS={Amsterdam}, YEAR={1987} } @INCOLLECTION {mGRU93a, AUTHOR="P. M. Gruber", TITLE="Geometry of Numbers", BOOKTITLE={Handbook of Convex Geometry}, EDITOR={P. M. Gruber and J. M. Wills}, PUBLISHER={Elsevier Science Publishers}, YEAR={1993}, PAGES={739--763} } @BOOK {mGUI99a, AUTHOR="C. Guilpin", TITLE={Manuel de Calcul Num\'erique Appliqu\'e}, PUBLISHER="EDP sciences", ADDRESS={Les Ulis, France}, YEAR={1999}} @article{mHAB83a, old = {Haber:83}, author={S. Haber}, title={Parameters for integrating periodic functions of several variables}, journal={Mathematics of Computation}, volume=41, pages={115-129}, year=1983} @BOOK {mHEC81a, AUTHOR="E. Hecke", TITLE={Lectures on the Theory of Algebraic Numbers}, PUBLISHER="Springer-Verlag", ADDRESS={New York}, YEAR={1981}} @BOOK {mHED99a, AUTHOR="A. S. Hedayat and N. J. A. Sloane and J. Stufken", TITLE={Orthogonal Arrays: Theory and Applications}, PUBLISHER="Springer-Verlag", ADDRESS={New York}, YEAR={1999}} @InProceedings{mHEI02a, author = {S. Heinrich and E. Nowak}, title = {Optimal Summation and Integration by Deterministic, Randomized, and Quantum Algorithms }, booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000}, pages = {50--62}, year = {2002}, editor = {K.-T. Fang and F. J. Hickernell and H. Niederreiter}, address = {Berlin}, publisher = {Springer-Verlag}, } @ARTICLE {mHEL85a, AUTHOR="B. Helfrich", TITLE="Algorithms to Construct {M}inkowski-Reduced and {H}ermite-Reduced Lattice Bases", JOURNAL={Theoretical Computer Science}, VOLUME={41}, YEAR={1985}, PAGES={125--139} } @ARTICLE {mHIG05a, author = "N. J. Higham", title = "The scaling and squaring method for the matrix exponential revisited", journal ="SIAM Journal on Matrix Analysis and Applications", volume = "26", number="4", pages ="1179--1193", year = "2005" } @ARTICLE {mHIG09a, author = "N. J. Higham", title = "The Scaling and Squaring Method for the Matrix Exponential Revisited", journal ="{SIAM} Review", volume = "51", number={4}, pages ="747--764", year = "2009"} @book {mHIR85a, AUTHOR="J.~W.~P.~Hirschfeld", TITLE="Finite Projective Spaces of Three Dimensions", PUBLISHER="Clarendon Press", ADDRESS={Oxford}, YEAR={1985}, } @ARTICLE {mHLA61a, author = "E. Hlawka", title = "Funktionen von beschr{\"a}nkter Variation in der Theorie der Gleichverteilung", journal ="Ann. Mat. Pura. Appl.", volume = "54", pages ="325--333", year = "1961"} @ARTICLE {mHLA62a, author = "E. Hlawka", title = "Zur angen{\"a}herten Berechnung mehrfacher Integrale", journal ="Monatshefte f{\"u}r Mathematik", volume = "66", pages ="140--151", year = "1962"} @INCOLLECTION {mHLA71a, author = "E. Hlawka", title = "Discrepancy and {R}iemann integration", booktitle ="Studies in Pure Mathematics: papers in combinatorial theory, analysis geometry, algebra and the theory of numbers", publisher= "Academic Press", editor = "L. Mirsky", pages ="121--129", year = "1971"} @ARTICLE {mHLA72a, author = "E. Hlawka and R. M{\"u}ck", title = "{\"Uber} Eine Transformation von Gleichverteilten Folgen {II}", journal ="Computing", volume = "9", pages ="127--138", year = "1972"} @BOOK {mHUA81a, AUTHOR="L. Hua and Y. Wang", TITLE="Applications of Number Theory to Numerical Analysis", PUBLISHER={Springer-Verlag}, ADDRESS={Berlin}, YEAR={1981} } @ARTICLE {mITO88a, author = "T. Itoh and S. Tsujii", title = "A Fast Algorithm for computing Multiplicative Inverses in {GF}($2^m$) Using Normal Bases", journal ="Information and computation", volume = "78", pages ="171--177", year = "1988"} @ARTICLE {mJOY71a, author = "D. C. Joyce", title = "Survey of Extrapolation Processes in Numerical Analysis", journal ="{SIAM} Review", volume = "13", number={4}, pages ="435--490", year = "1971"} @Book{mKAR88a, author = {I. Karatzas and S. Shreve}, ALTeditor = {}, title = {Brownian Motion and Stochastic Calculus}, publisher = {Springer-Verlag}, year = {1988}, address = {New York}, edition = {second}, OPTannote = {} } @Book{mKLO92a, author = {P. E. Kloeden and E. Platen}, ALTeditor = {}, title = {Numerical Solutions of Stochastic Differential Equations}, publisher = {Springer-Verlag}, year = {1992}, address = {Berlin}, OPTedition = {third printing in 1999}, OPTannote = {} } @BOOK {mKOB87a, AUTHOR="N. Koblitz", TITLE={A Course In Number Theory and Cryptography}, PUBLISHER="Springer-Verlag", YEAR={1987}, VOLUME={114}, SERIES={Graduate Texts in Mathematics}, ADDRESS={New York} } @Article{mKOR59a, author = {N. M. Korobov}, title = {The Approximate Computation of Multiple Integrals}, journal = {Dokl. Akad. Nauk {SSSR}}, year = {1959}, volume = {124}, pages = {1207--1210}, note = {in Russian}, } @Article{mKOR60a, author = {N. M. Korobov}, title = {Properties and Calculation of Optimal Coefficients}, journal = {Dokl. Akad. Nauk {SSSR}}, year = {1960}, volume = {132}, pages = {1009--1012}, note = {in Russian}, } @Article{mKOR82a, author = {N. M. Korobov}, title = {On the Computation of Optimal Coefficients}, journal = {Dokl. Akad. Nauk {SSSR}}, year = {1982}, volume = {267}, pages = {289--292}, note = {in Russian}, } @book {mKOR92a, author = {N. M. Korobov}, title = {Exponential Sums and their Applications}, publisher = {Kluwer Academic}, year = {1992}, address = {Dordrecht, Netherlands}} @Article{mKUM00a, author = "T. Kumada and H. Leeb and Y. Kurita and M. Matsumoto", title = "New primitive $t$-nomials $(t = 3,5)$ over {$GF(2)$} whose degree is a {Mersenne} exponent", journal = "Mathematics of Computation", volume = "69", number = "230", pages = "811--814", year = "2000", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", bibdate = "Wed Nov 1 11:50:03 MST 2000", bibsource = "http://www.ams.org/mcom/2000-69-230", Xnote = "See corrigenda \cite{mKUM02a}", note = "See also corrigenda in 71, 239 (2002), 1337--1338", URL = "http://www.ams.org/journal-getitem?pii=S0025-5718-99-01168-0; http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.pdf; http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.dvi; http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.tex; http://www.ams.org/mcom/2000-69-230/S0025-5718-99-01168-0/S0025-5718-99-01168-0.ps", acknowledgement = ack-nhfb, } @Article{mKUM02a, author = "T. Kumada and H. Leeb and Y. Kurita and M. Matsumoto", title = "Corrigenda to {``New primitive $t$-nomials $(t=3,5)$ over $GF(2)$ whose degree is a Mersenne exponent,''} and some new primitive pentanomials", journal = "Mathematics of Computation", volume = "71", number = "239", pages = "1337--1338", year = "2002", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Fri Nov 22 10:22:22 MST 2002", bibsource = "http://www.ams.org/mcom/2002-71-239", note = "See \cite{mKUM00a}.", URL = "http://www.ams.org/journal-getitem?pii=S0025-5718-02-01487-4; http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.pdf; http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.dvi; http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.tex; http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01487-4/S0025-5718-02-01487-4.ps", acknowledgement = ack-nhfb, } @article{mKUO05a, author = {F. Y. Kuo and I. H. 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