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Record Nr. |
UNINA9910480705703321 |
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Titolo |
Finite fields : 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 |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1994] |
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©1994 |
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ISBN |
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0-8218-7759-3 |
0-8218-5505-0 |
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Descrizione fisica |
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1 online resource (xxx, 402 p. ) |
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Collana |
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Contemporary mathematics ; ; 168 |
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Disciplina |
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Soggetti |
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Finite fields (Algebra) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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 / Raul Figueroa, Pablo M. Salzberg and Peter Jau-Shyong Shiue -- Global construction of general exceptional covers / Michael D. Fried -- Berlekamp's and Niederreiter's polynomial factorization algorithms / Shuhong Gao and Joachim von zur Gathen -- Hasse-Teichmuller derivatives and products of linear recurring sequences / Rainer Gottfert 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 |
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over a finite field / A. Knopfmacher, J. Knopfmacher and R. Warlimont -- A note on Weil representation of SL[subscript 2](F[subscript q]) and Soto-Andrade sums / Jinghua 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) / Hongwen 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 Muller -- 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 / Minghua Qu and S.A. Vanstone -- Iterated constructions of normal bases over finite fields / Alfred Scheerhorn -- Periodicity properties of kth 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 / Klaus Huber, Ilene H. Morgan, Gary L. Mullen, Harald Niederreiter, A. Odlyzko, Johan van Tilburg and Daqing Wan. |
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