Arithmetic of Finite Fields

This book constitutes the refereed proceedings of the 5th International Workshop on the Arithmetic of Finite Field, WAIFI 2014, held in Gebze, Turkey, in September 2014. The 9 revised full papers and 43 invited talks presented were carefully reviewed and selected from 27 submissions. This workshop is a forum of mathematicians, computer scientists, engineers and physicists performing research on finite field arithmetic, interested in communicating the advances in the theory, applications, and implementations of finite fields. The workshop will help to bridge the gap between the mathematical theory of finite fields and their hardware/software implementations and technical applications.

Inhalt

First Invited talk.- Computing Discrete Logarithms in F36.137 and F36.163 using Magma.- Finite Field Arithmetic.- Accelerating Iterative SpMV for the Discrete Logarithm Problem using GPUs.- Finding Optimal Chudnovsky-Chudnovsky Multiplication Algorithms.- Reducing the Complexity of Normal Basis Multiplication.- O.- Second Invited talk.- Open Questions on Nonlinearity and on APN functions.- Boolean and Vectorial Functions.- Some Results on Difference Balanced Functions.- Affine Equivalency and Nonlinearity Preserving Bijective Mappings over F2.- On Verification of Restricted Extended Affine Equivalence of Vectorial Boolean Functions.- On o-Equivalence of Niho Bent Functions.- Third Invited Talk.- L-polynomials of the curve yqn- y = xqh+1- _ over Fqm.- Coding Theory and Code-based Cryptography.- Efficient Software Implementations of Code-based Hash Functions.- Quadratic residue codes over Fp + vFp + v2F.p.