Construction of Gray maps for groups of order 16
Information Theory
2016-09-14 v1 math.IT
Abstract
In this paper we consider Type 1 Gray maps and Type 2 Gray maps for groups of order 16. First, we confirm that we can construct Type 1 Gray maps for all groups of order 16, and we actually construct them. Next, we confirm that we can construct Type 2 Gray maps for several groups of order 16, and we construct all such maps. Finally we reveal why the other groups do not admit Gray maps.
Cite
@article{arxiv.1609.03690,
title = {Construction of Gray maps for groups of order 16},
author = {Ko Sakai and Yutaka Sato},
journal= {arXiv preprint arXiv:1609.03690},
year = {2016}
}