Classification of quaternary Hermitian self-dual codes of length 20
Masaaki Harada, Akihiro Munemasa
TL;DR
This paper classifies quaternary Hermitian self-dual codes of length 20 and uses this to classify extremal codes of length 22, advancing understanding of these algebraic structures.
Contribution
It provides the first comprehensive classification of quaternary Hermitian self-dual codes of length 20 and extends this to classify extremal codes of length 22.
Findings
Complete classification of length 20 codes
Identification of extremal codes of length 22
New structural insights into Hermitian self-dual codes
Abstract
A classification of quaternary Hermitian self-dual codes of length 20 is given. Using this classification, a classification of extremal quaternary Hermitian self-dual codes of length 22 is also given.
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Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research · Advanced Algebra and Geometry