Finite fields : [electronic resource] theory, applications, and algorithms / 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.

By:

(2nd : International Conference on Finite Fields: Theory, Applications, and Algorithms (2nd : 1993 : Las Vegas, Nev.)

Contributor(s):

Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 168.Publication details: Providence, R.I. : American Mathematical Society, 1994.Description: 1 online resource (xxx, 402 p. : ill.)ISBN:

9780821877593 (online)

Subject(s):

Finite fields (Algebra) -- Congresses

Additional physical formats: Finite fields :DDC classification:

512/.3 20

LOC classification:

QA247.3 .I58 1993

Online resources:

Contents:

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

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IMSc Library			Link to resource	Available		EBK11450

Includes bibliographical references.

Tools for coset weight enumerators of some codes / Pascale Charpin -- Algebraic decoding of cyclic codes: a polynomial ideal point of view / Xuemin Chen, I. S. Reed, T. Helleseth and T. K. Truong -- Polynomial factorisation, graphs, designs and codes / Stephen D. Cohen -- Character sums as orthogonal eigenfunctions of adjacency operators for Cayley graphs / Ronald Evans -- Combinatorial cryptosystems galore! / Michael Fellows and Neal Koblitz -- A family of cryptosystems based on combinatorial properties of finite geometries / Ra�ul Figueroa, Pablo M. Salzberg and Peter Jau-Shyong Shiue -- Global construction of general exceptional covers with motivation for applications to encoding / Michael D. Fried -- Berlekamp's and Niederreiter's polynomial factorization algorithms / Shuhong Gao and Joachim von zur Gathen -- Hasse-Teichm�uller derivatives and products of linear recurring sequences / Rainer G�ottfert and Harald Niederreiter -- Factors of period polynomials for finite fields. II / S. Gurak -- A characterization of some ternary codes meeting the Griesmer bound / Noboru Hamada and Tor Helleseth -- Projective geometry codes over prime fields / J. W. P. Hirschfeld and R. Shaw -- Codes over Eisenstein-Jacobi integers / Klaus Huber -- Points on Fermat curves over finite fields / Hubert Kiechle -- Lengths of factorizations for polynomials over a finite field / A. Knopfmacher, J. Knopfmacher and R. Warlimont -- A note on Weil representation of ${\rm SL}_2({\bf F}_q)$ and Soto-Andrade sums / Jing Hua Kuang -- Some sequences with good autocorrelation properties / Philippe Langevin -- Pellian equation conjecture and absolutely nonsingular projective varieties over a finite field -- Hecke operator and Pellian equation conjecture. IV / Hong Wen Lu -- Strong pseudoprimes and generalized Carmichael numbers / Rex Matthews -- Transformations of $4$-regular graphs and equations over finite fields of Chevalley-Warning type / Oscar Moreno and Victor A. Zinoviev -- New examples of exceptional polynomials / Peter M�uller -- New deterministic factorization algorithms for polynomials over finite fields / Harald Niederreiter -- Discrete logarithms and smooth polynomials / A. M. Odlyzko -- Parents, children, neighbors and the shadow / Vera Pless -- The knapsack problem in cryptography / Ming Hua Qu and S. A. Vanstone -- Iterated constructions of normal bases over finite fields / Alfred Scheerhorn -- Periodicity properties of $k$th order linear recurrences whose characteristic polynomial splits completely over a finite field. I / Lawrence Somer -- Generalized Welch-Costas sequences and their application to Vatican arrays / Hong Y. Song and Solomon W. Golomb -- Nonisomorphic complete sets of $F$-rectangles with varying numbers of symbols / Stephan J. Suchower -- A method of designing cellular automata as pseudorandom number generators for built-in self-test for VLSI / Shu Tezuka and Masanori Fushimi -- Finite ring sums from $p$-adic $K$-Bessel functions / Cynthia E. Trimble -- On the Gross-Koblitz formula / Paul Thomas Young -- New results on diagonal equations over finite fields from cyclic codes / Jacques Wolfmann -- Open Problems and Conjectures / Gary L. Mullen and Peter Jau-Shyong Shiue --