Connections between Latin Squares, Cellular Automata and Coprime Polynomials

Abstract

Cellular Automata (CA) provide a very simple model of parallel computation, with applications in diverse domains. Starting from a cryptographic scenario (secret sharing), we show how to use CA for the generation of orthogonal Latin squares, a type of combinatorial designs that are equivalent toi threshold secret sharing schemes where only two players are required to reconstruct a secret. More indetail, we illustrate an interesting algebraic characterization of these objects in terms of coprime polynomials, and present a new construction of bent functions leveraging CA-based MOLS.

Date
Location
held online over Google Meet