Finite fields : theory, applications, and algorithms / [electronic resource]
Second International Conference on Finite Fields, Theory, Applications, and Algorithms, August 17-21, 1993, Las Vegas, Nevada ; Gary L. Mullen, Peter Jau-Shyong Shiue, editors.
- Providence, R.I. : American Mathematical Society, 1994.
- 1 online resource (xxx, 402 p. : ill.)
- Contemporary mathematics, v. 168 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 168. .
Includes bibliographical references.
Tools for coset weight enumerators of some codes / Algebraic decoding of cyclic codes: a polynomial ideal point of view / Polynomial factorisation, graphs, designs and codes / Character sums as orthogonal eigenfunctions of adjacency operators for Cayley graphs / Combinatorial cryptosystems galore! / A family of cryptosystems based on combinatorial properties of finite geometries / Global construction of general exceptional covers with motivation for applications to encoding / Berlekamp's and Niederreiter's polynomial factorization algorithms / Hasse-Teichm�uller derivatives and products of linear recurring sequences / Factors of period polynomials for finite fields. II / A characterization of some ternary codes meeting the Griesmer bound / Projective geometry codes over prime fields / Codes over Eisenstein-Jacobi integers / Points on Fermat curves over finite fields / Lengths of factorizations for polynomials over a finite field / A note on Weil representation of $_2(_q)$ and Soto-Andrade sums / Some sequences with good autocorrelation properties / Pellian equation conjecture and absolutely nonsingular projective varieties over a finite field -- Hecke operator and Pellian equation conjecture. IV / Strong pseudoprimes and generalized Carmichael numbers / Transformations of $4$-regular graphs and equations over finite fields of Chevalley-Warning type / New examples of exceptional polynomials / New deterministic factorization algorithms for polynomials over finite fields / Discrete logarithms and smooth polynomials / Parents, children, neighbors and the shadow / The knapsack problem in cryptography / Iterated constructions of normal bases over finite fields / Periodicity properties of $k$th order linear recurrences whose characteristic polynomial splits completely over a finite field. I / Generalized Welch-Costas sequences and their application to Vatican arrays / Nonisomorphic complete sets of $F$-rectangles with varying numbers of symbols / A method of designing cellular automata as pseudorandom number generators for built-in self-test for VLSI / Finite ring sums from $p$-adic $K$-Bessel functions / On the Gross-Koblitz formula / New results on diagonal equations over finite fields from cyclic codes / Open Problems and Conjectures / Pascale Charpin -- Xuemin Chen, I. S. Reed, T. Helleseth and T. K. Truong -- Stephen D. Cohen -- Ronald Evans -- Michael Fellows and Neal Koblitz -- Ra�ul Figueroa, Pablo M. Salzberg and Peter Jau-Shyong Shiue -- Michael D. Fried -- Shuhong Gao and Joachim von zur Gathen -- Rainer G�ottfert and Harald Niederreiter -- S. Gurak -- Noboru Hamada and Tor Helleseth -- J. W. P. Hirschfeld and R. Shaw -- Klaus Huber -- Hubert Kiechle -- A. Knopfmacher, J. Knopfmacher and R. Warlimont -- Jing Hua Kuang -- Philippe Langevin -- Hong Wen Lu -- Rex Matthews -- Oscar Moreno and Victor A. Zinoviev -- Peter M�uller -- Harald Niederreiter -- A. M. Odlyzko -- Vera Pless -- Ming Hua Qu and S. A. Vanstone -- Alfred Scheerhorn -- Lawrence Somer -- Hong Y. Song and Solomon W. Golomb -- Stephan J. Suchower -- Shu Tezuka and Masanori Fushimi -- Cynthia E. Trimble -- Paul Thomas Young -- Jacques Wolfmann -- Gary L. Mullen and Peter Jau-Shyong Shiue -- http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01684 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01685 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01686 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01687 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01688 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01689 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01690 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01691 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01692 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01693 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01694 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01695 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01696 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01697 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01698 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01699 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01700 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01701 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01702 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01703 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01704 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01705 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01706 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01707 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01708 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01709 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01710 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01711 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01712 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01713 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01714 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01715 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01716 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/34
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821877593 (online)
Finite fields (Algebra)--Congresses.
QA247.3 / .I58 1993
512/.3
Includes bibliographical references.
Tools for coset weight enumerators of some codes / Algebraic decoding of cyclic codes: a polynomial ideal point of view / Polynomial factorisation, graphs, designs and codes / Character sums as orthogonal eigenfunctions of adjacency operators for Cayley graphs / Combinatorial cryptosystems galore! / A family of cryptosystems based on combinatorial properties of finite geometries / Global construction of general exceptional covers with motivation for applications to encoding / Berlekamp's and Niederreiter's polynomial factorization algorithms / Hasse-Teichm�uller derivatives and products of linear recurring sequences / Factors of period polynomials for finite fields. II / A characterization of some ternary codes meeting the Griesmer bound / Projective geometry codes over prime fields / Codes over Eisenstein-Jacobi integers / Points on Fermat curves over finite fields / Lengths of factorizations for polynomials over a finite field / A note on Weil representation of $_2(_q)$ and Soto-Andrade sums / Some sequences with good autocorrelation properties / Pellian equation conjecture and absolutely nonsingular projective varieties over a finite field -- Hecke operator and Pellian equation conjecture. IV / Strong pseudoprimes and generalized Carmichael numbers / Transformations of $4$-regular graphs and equations over finite fields of Chevalley-Warning type / New examples of exceptional polynomials / New deterministic factorization algorithms for polynomials over finite fields / Discrete logarithms and smooth polynomials / Parents, children, neighbors and the shadow / The knapsack problem in cryptography / Iterated constructions of normal bases over finite fields / Periodicity properties of $k$th order linear recurrences whose characteristic polynomial splits completely over a finite field. I / Generalized Welch-Costas sequences and their application to Vatican arrays / Nonisomorphic complete sets of $F$-rectangles with varying numbers of symbols / A method of designing cellular automata as pseudorandom number generators for built-in self-test for VLSI / Finite ring sums from $p$-adic $K$-Bessel functions / On the Gross-Koblitz formula / New results on diagonal equations over finite fields from cyclic codes / Open Problems and Conjectures / Pascale Charpin -- Xuemin Chen, I. S. Reed, T. Helleseth and T. K. Truong -- Stephen D. Cohen -- Ronald Evans -- Michael Fellows and Neal Koblitz -- Ra�ul Figueroa, Pablo M. Salzberg and Peter Jau-Shyong Shiue -- Michael D. Fried -- Shuhong Gao and Joachim von zur Gathen -- Rainer G�ottfert and Harald Niederreiter -- S. Gurak -- Noboru Hamada and Tor Helleseth -- J. W. P. Hirschfeld and R. Shaw -- Klaus Huber -- Hubert Kiechle -- A. Knopfmacher, J. Knopfmacher and R. Warlimont -- Jing Hua Kuang -- Philippe Langevin -- Hong Wen Lu -- Rex Matthews -- Oscar Moreno and Victor A. Zinoviev -- Peter M�uller -- Harald Niederreiter -- A. M. Odlyzko -- Vera Pless -- Ming Hua Qu and S. A. Vanstone -- Alfred Scheerhorn -- Lawrence Somer -- Hong Y. Song and Solomon W. Golomb -- Stephan J. Suchower -- Shu Tezuka and Masanori Fushimi -- Cynthia E. Trimble -- Paul Thomas Young -- Jacques Wolfmann -- Gary L. Mullen and Peter Jau-Shyong Shiue -- http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01684 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01685 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01686 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01687 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01688 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01689 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01690 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01691 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01692 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01693 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01694 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01695 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01696 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01697 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01698 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01699 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01700 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01701 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01702 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01703 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01704 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01705 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01706 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01707 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01708 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01709 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01710 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01711 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01712 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01713 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01714 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01715 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/01716 http://www.ams.org/conm/168/ http://dx.doi.org/10.1090/conm/168/34
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821877593 (online)
Finite fields (Algebra)--Congresses.
QA247.3 / .I58 1993
512/.3