On the classification of quaternary optimal Hermitian LCD codes
Makoto Araya, Masaaki Harada
TL;DR
This paper introduces a method for classifying large minimum weight quaternary Hermitian LCD codes and provides a classification of optimal codes of dimension 3.
Contribution
The paper presents a new classification method specifically for quaternary Hermitian LCD codes with large minimum weights and applies it to classify optimal codes of dimension 3.
Findings
Classified quaternary optimal Hermitian LCD codes of dimension 3.
Developed a new method for classifying codes with large minimum weights.
Enhanced understanding of the structure of Hermitian LCD codes.
Abstract
We propose a method for a classification of quaternary Hermitian LCD codes having large minimum weights. As an example, we give a classification of quaternary optimal Hermitian LCD codes of dimension 3.
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Taxonomy
TopicsCoding theory and cryptography · graph theory and CDMA systems