SS14 - Finite Fields and Applications

link to the session's webpage

This session’s focus is on the rich and diverse world of finite fields which play a crucial role in various branches of mathematics like algebra, number theory, combinatorics, finite geometry and more.

Finite fields also provide the foundation for many aspects of secure and robust communications in applied areas such as coding theory, cryptography, and information theory.

We aim to bring together a group of researchers to discuss and showcase the latest advancements in the theory, applications and implementations of finite fields.

Session organizers

Daniel Panario (Carleton University, Canada)

Theodoulos Garefalakis (University of Crete, Greece)

Talks

Alev Topuzoglu - A new tool for differential analysis of functions in characteristic 2

Qiang (Steven) Wang - On constructing bent functions from cyclotomic mappings

Tekgül Kalaycı - Bent partitions, vectorial dual-bent functions, and association schemes

Irene Villa - Quadratic-like permutations over F_n^2

Dimitris Simos - Algebraic and SAT Methods for Classes of Covering Arrays

John Sheekey - Invariant Polynomials and Cyclic Line Spreads

Ferruh Ozbudak - Further results on covering radii of some codes and their connections

Giorgos Kapetanakis - Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields

Domingo Gómez-Pérez - Automatic Sequences Along Polynomial Subsequences and Their Applications

Michael Monagan - Factoring Multilinear Boolean Polynomials

Lucia Moura - New covering arrays of strength-4 and q symbols from three truncated Möbius planes in P G(3, q), for odd prime power q

Lucas Da Silva Reis - Nilpotent linearized polynomials and applications