Katia Benseba will present her Math 5P99 Masters Research Project entitled Permutation Polynomials over Finite Fields and their application to Cryptography on Tuesday, February 7th, 2023 at 4:00 PM in MCG 310.

Abstract:

The aim of the paper is the study of Permutation Polynomials over finite fields and their application to
cryptography. In my talk, I will begin by a brief review of finite fields, define permutation polynomials over finite fields and their properties. I will present old results such as Hermite-Dickson’s Theorem as well as some most recent ones. After introducing cryptography, I will give a historical overview, by  explaining some cryptosystems such as RSA and ElGamal. Finally, I will present some cryptographical protocols based on Permutation Polynomials over Finite Fields.