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Finite fields and applications : proceedings of the third international conference, Glasgow, July 1995 /
Finite fields are algebraic structures in which there is much research interest and they have been shown to have a wide range of applications. These proceedings give a state-of-the-art account of the area of finite fields and their applications in communications (coding theory, cryptology), combinat...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1996.
|
| Colección: | London Mathematical Society lecture note series ;
233. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Finite fields and applications : |b proceedings of the third international conference, Glasgow, July 1995 / |c edited by S. Cohen, H. Niederreiter. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1996. | ||
| 300 | |a 1 online resource (xx, 401 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 233 | |
| 500 | |a "Proceedings of the Third International Conference on Finite Fields and Applications held at the University of Glasgow, Scotland, 11-14 July, 1995"--Preface. | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a Finite fields are algebraic structures in which there is much research interest and they have been shown to have a wide range of applications. These proceedings give a state-of-the-art account of the area of finite fields and their applications in communications (coding theory, cryptology), combinatorics, design theory, quasirandom points, algorithms and their complexity. Typically, theory and application are tightly interwoven in the survey articles and original research papers included here. These also demonstrate inter-connections with other branches of pure mathematics such as number theory, group theory and algebraic geometry. This volume is an invaluable resource for any researcher in finite fields or related areas. | ||
| 505 | 0 | |a Cover; Half-title; Title; Copyright; Contents; Preface; Conference Participants; Factorizations over finite fields Shreeram S Abhyankar; Section 1: Introduction; Section 2: Partitions of Roots of Unity; Section 3: Review of Classical Groups; Section 4: Genus Zero and Strong Genus Zero; Section 5: Further Generalized Artin Schreier Polynomials; Section 6: Again Generalized Artin Schreier Polynomials; Section 7: Deformations of the Symplectic Group Equations; Section 8: Permutation Polynomials; Section 9: The Mantra | |
| 505 | 8 | |a Class number in totally imaginary extensions of totally real fnnrtion fields Yves AubryIntroduction.; 1. Notation.; 2. Finiteness theorem.; Automorphism groups and permutation groups of affine-in variant codes Thierry P Berger; 1 Preliminaries; 1.1 Permutation groups and Automorphism groups ofa code.; 1.2 Indecomposable codes.; 1.3 Afflne-invariant codes.; 1.4 Extended primitive cyclic codes; 2 Automorphism group and permutationgroup of an affine-invariant code.; 2.1 Known results on permutation groups of affineinvariantcodes. | |
| 505 | 8 | |a 2.2 Relations between permutation groups and automorphismgroups of affine-invariant codes.3 Codes equivalent to an affine-invariant code; 3.1 Equivalence of codes; 3.2 Extended cyclic codes equivalent toan affine-invariant code.; A construction of bent fund ions Claude Carlet; 1 Introduction; 2 The Construction; 3 Known classes of explicit bent functions; Monodromy groups of classical families over finite fields Stephen D Cohen and Rex W Matthews; 1. INTRODUCTION; 2. CLASSICAL FAMILIES WITH REGULAR GEOMETRIC MONODROMYGROUPS.; 3. NON-REGULAR MONODROMY GROUPS. | |
| 505 | 8 | |a Completely free elements Dirk Hachenberger1. A Strengthening of the Normal Basis Theorem.; 2. The Existence of Completely Free Elements.; 3. Decompositions of Completely Free Elements.; 4. Regular Extensions.; 5. Explicit Constructions.; 6. Concluding Remarks.; Exponential sums over Galois rings and their applications T Helleseth, P V Kumar and A G Shanbhag; 1 Introduction; 2 Galois Rings; 3 Z4-linear codes; 4 Exponential sums; 4.1 The Weil-Carlitz-Uchiyama bound; 4.2 Exponential sums in Galois rings; 5 Applications to coding theory; 6 Application to sequence designs; 7 Conclusions | |
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| 650 | 0 | |a Finite fields (Algebra) |v Congresses. | |
| 650 | 6 | |a Corps finis |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Finite fields (Algebra) |2 fast | |
| 650 | 7 | |a Galois-Feld |2 gnd | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Cohen, S. |q (Stephen), |d 1944- | |
| 700 | 1 | |a Niederreiter, Harald, |d 1944- | |
| 711 | 2 | |a International Conference on Finite Fields and Applications |n (3rd : |d 1995 : |c Glasgow, Scotland) | |
| 776 | 0 | 8 | |i Print version: |t Finite fields and applications. |d Cambridge ; New York : Cambridge University Press, 1996 |z 9780511525988 |w (DLC) 96025103 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 233. | |
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