A new family of semifields with 2 parameters
Combinatorics
2013-04-16 v1 Commutative Algebra
Abstract
A new family of commutative semifields with two parameters is presented. Its left and middle nucleus are both determined. Furthermore, we prove that for any different pairs of parameters, these semifields are not isotopic. It is also shown that, for some special parameters, one semifield in this family can lead to two inequivalent planar functions. Finally, using similar construction, new APN functions are given.
Cite
@article{arxiv.1103.4555,
title = {A new family of semifields with 2 parameters},
author = {Yue Zhou and Alexander Pott},
journal= {arXiv preprint arXiv:1103.4555},
year = {2013}
}