Niho Bent Functions and Subiaco/Adelaide Hyperovals
Combinatorics
2012-11-27 v1 Cryptography and Security
Discrete Mathematics
Abstract
In this paper, the relation between binomial Niho bent functions discovered by Dobbertin et al. and o-polynomials that give rise to the Subiaco and Adelaide classes of hyperovals is found. This allows to expand the class of bent functions that corresponds to Subiaco hyperovals, in the case when .
Keywords
Cite
@article{arxiv.1210.4732,
title = {Niho Bent Functions and Subiaco/Adelaide Hyperovals},
author = {Tor Helleseth and Alexander Kholosha and Sihem Mesnager},
journal= {arXiv preprint arXiv:1210.4732},
year = {2012}
}