A new family of semifields with 2 parameters

By Yue Zhou, Alexander Pott. 2011

79 citations recorded by the source corpus.

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 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 a similar construction, new APN functions are given.

Subfields: Artificial Intelligence, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/f285fd5aa417a1b2bd8c8ff90ade967b363038f0

Citations in the corpus

• MRD Codes: Constructions and Connections (2019, unknown): “Pott-Zhou’s family of commutative semifields [78].”