A New Family of Boolean Functions with Good Cryptographic Properties

A New Family of Boolean Functions with Good Cryptographic Properties 5060 3358 Eduardo Díaz Medina

Autores: Guillermo Sosa Gómez, Octavio Paez Osuna, Omar Guillermo Rojas Altamirano y Evaristo José Madarro Capó

ABSTRACT:

In 2005, Philippe Guillot presented a new construction of Boolean functions using linear codes as an extension of the Maiorana–McFarland’s (MM) construction of bent functions. In this paper, we study a new family of Boolean functions with cryptographically strong properties, such as non-linearity, propagation criterion, resiliency, and balance. The construction of cryptographically strong Boolean functions is a daunting task, and there is currently a wide range of algebraic techniques and heuristics for constructing such functions; however, these methods can be complex, computationally difficult to implement, and not always produce a sufficient variety of functions. We present in this paper a construction of Boolean functions using algebraic codes following Guillot’s work.

Liga para el artículo:

https://www.mdpi.com/2075-1680/10/2/42/htm

Autores UP: Omar Guillermo Rojas Altamirano y Guillermo Sosa Gómez
Facultad de Ciencias Económicas y Empresariales