English

On the conjecture about the nonexistence of rotation symmetric bent functions

Cryptography and Security 2013-03-12 v1 Combinatorics

Abstract

In this paper, we describe a different approach to the proof of the nonexistence of homogeneous rotation symmetric bent functions. As a result, we obtain some new results which support the conjecture made in this journal, i.e., there are no homogeneous rotation symmetric bent functions of degree >2. Also we characterize homogeneous degree 2 rotation symmetric bent functions by using GCD of polynomials.

Keywords

Cite

@article{arxiv.1303.2282,
  title  = {On the conjecture about the nonexistence of rotation symmetric bent functions},
  author = {Xiyong Zhang and Guangpu Gao},
  journal= {arXiv preprint arXiv:1303.2282},
  year   = {2013}
}