On quaternary resilient functions

Abstract

Functions on multiple valued logic are important tools for designing non-binary cryptographic algorithms. Cryptographic characteristics such as correlation immunity and resiliency of Boolean functions are well studied. This paper is on the resiliency of quaternary functions. We provide a method to extract a class quaternary 1-resilient functions in two variables using the group action of the permutation group S4. Using the resilient functions obtained, based on computational results using python programming language, we conjecture a technique to produce 1-resilient quaternary functions in three variables. We Also discuss orthogonal matrix characterizations of resilient functions on multiple valued logic.