New Perfect Nonlinear Functions and Their Semifields
Information Theory
2019-05-09 v2 Cryptography and Security
Combinatorics
math.IT
Rings and Algebras
Abstract
In this paper, two new classes of perfect nonlinear functions over are proposed, where is an odd prime. Furthermore, we investigate the nucleus of the corresponding semifields of these functions and show that the semifields are not isotopic to all the known semifields. Particularly, the new perfect nonlinear functions are CCZ-inequivalent to other classes in general.
Cite
@article{arxiv.1905.01041,
title = {New Perfect Nonlinear Functions and Their Semifields},
author = {Jinquan Luo and Junru Ma},
journal= {arXiv preprint arXiv:1905.01041},
year = {2019}
}
Comments
The paper has a fatal mistake which can not be repaired