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

These proceedings give a state-of-the-art account of the area of finite fields and their applications.

S. Cohen (Edited by), H. Niederreiter (Edited by)

9780521567367, Cambridge University Press

Paperback, published 28 September 1996

424 pages
22.8 x 15.2 x 2.4 cm, 0.573 kg

'… a state-of-the-art account of the area of finite fields and their applications.' L'Enseignement Mathématique

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.

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 Müller
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.

Subject Areas: Algebra [PBF]