Construction of Gray maps for groups of order 16

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...

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Bibliographic Details
Main Authors Sakai, Ko, Sato, Yutaka
Format Journal Article
LanguageEnglish
Published 13.09.2016
Subjects
Computer Science - Information Theory
Mathematics - Information Theory
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Summary: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.
DOI:10.48550/arxiv.1609.03690