Finite Fields and Applications
by Mullen, Gary L.; Panario, Daniel; Shparlinski, Igor E.Format: Paperback
Pub. Date: 2008-08-01
Publisher(s): Amer Mathematical Society
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Summary
This volume contains the proceedings of the Eighth International Conference on Finite Fields and Applications, held in Melbourne, Australia, July 9-13, 2007. It contains 5 invited survey papers as well as original research articles covering various theoretical and applied areas related to finite fields.Finite fields, and the computational and algorithmic aspects of finite field problems, continue to grow in importance and interest in the mathematical and computer science communities because of their applications in so many diverse areas. In particular, finite fields now play very important roles in number theory, algebra, and algebraic geometry, as well as in computer science, statistics, and engineering. Areas of application include algebraic coding theory, cryptology, and combinatorialdesign theory.
Table of Contents
| Analysis and optimization of elliptic-curve single-scalar multiplication | |
| On influences of Boolean variables and their computation | |
| Subsequences of Sidelnikov sequences | |
| A multi-level blocking distinct-degree factorization algorithm | |
| New bounds on some parameters in the Waring problem for polynomials over a finite field | |
| Dickson polynomial permutations | |
| Ring theoretic study of linear codes using additive polynomials | |
| Toward a complete twin primes theorem for polynomials over finite fields | |
| On the distribution of the elliptic curve power generator | |
| Discrete logarithms in curves over finite fields | |
| Some remarks on the Hasse-Arf theorem | |
| Character sums for sequences of iterations of Dickson polynomials | |
| What can be used instead of a Barker sequence? | |
| Order dividing extension fields and the root computation problem | |
| Kasami bent functions are not equivalent to their duals | |
| Reduced linear modular systems | |
| Cocyclic Butson Hadamard matrices and codes over $\mathbb{Z}_n$ via the trace map | |
| Dickson permutation polynomials that decompose in cycles of the same length | |
| Equidistribution of roots of $L$-function of Gold exponential sum | |
| The simplex code over Galois rings | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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