Constructing commutative semifields of square order
Combinatorics
2016-03-02 v2 Commutative Algebra
Quantum Physics
Abstract
The projection construction has been used to construct semifields of odd characteristic using a field and a twisted semifield [Commutative semifields from projection mappings, Designs, Codes and Cryptography, 61 (2011), 187--196]. We generalize this idea to a projection construction using two twisted semifields to construct semifields of odd characteristic. Planar functions and semifields have a strong connection so this also constructs new planar functions.
Cite
@article{arxiv.1302.3281,
title = {Constructing commutative semifields of square order},
author = {Stephen M. Gagola and Joanne L. Hall},
journal= {arXiv preprint arXiv:1302.3281},
year = {2016}
}