Finite Fields and Applications: Proceedings of the Third International Conference, Glasgow, July 1995

by Edited by S. Cohen , H. Niederreiter

• ISBN13: 9780521567367
• ISBN10: 052156736X
• Format: Paperback
• Copyright: 1996-09-28
• Publisher: Cambridge University Press

Summary

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.

Table of Contents

1. Factorizations over finite fields Abhyankar

2. Class number in totally imaginary extensions Aubry

3. Automorphism groups and permutation groups Berger

4. A construction of bent functions Carlet

5. Monodromy groups of classical families Cohen and Matthews

6. Wan's bound Cusick and Mü

ller

7. Factorization

8. Algorithms Fleischmann and Roelse

9. Minimal polynomials for certain Gauss periods Gurak

10. Completely free elements Hachenberger

11. Exponential sums over Galois rings Helleseth et al.

12. Mutually orthogonal Latin squares Jungnickel

13. Examples of small hybrid sums Lahtonen

14. Cellular automata Lange

15. A new class of two weight code Langevin et al

16. Construction of digital (t,m,s)-nets Lawrence et al

17. A family of exceptional polynomials Lenstra and Zieve

18. Estimates of character sums Li

19. Carmichael-Carlitz polynomials Mauduit

20. Open problems and conjectures Mullen and Shparlinski

21. Quasirandom points Niederreiter and Xing

22. Character sets to decode cyclic codes Rong and Helleseth

23. Approximate constructions in finite fields Shparlinski

24. Periodicity properties of linear recurrences Somer

25. Factoring cyclotomic polynomials Stein

26. Character sums and coding theory Stepanov

27. L-functions of algebraic varieties Wan

28. Generalizations of R'edei functions Young.