English

On some cryptographic properties of Boolean functions and their second-order derivatives

Cryptography and Security 2024-06-17 v1

Abstract

In this paper some cryptographic properties of Boolean functions, including weight, balancedness and nonlinearity, are studied, particularly focusing on splitting functions and cubic Boolean functions. Moreover, we present some quantities derived from the behaviour of second-order derivatives which allow us to determine whether a quadratic or cubic function is APN.

Keywords

Cite

@article{arxiv.1909.10586,
  title  = {On some cryptographic properties of Boolean functions and their second-order derivatives},
  author = {Augustine Musukwa and Massimiliano Sala and Marco Zaninelli},
  journal= {arXiv preprint arXiv:1909.10586},
  year   = {2024}
}

Comments

17 pages, WCC 2019 conference