On the classification of quaternary optimal Hermitian LCD codes

Makoto Araya; Masaaki Harada

doi:10.1007/s12095-021-00552-5

On the classification of quaternary optimal Hermitian LCD codes

Makoto Araya, Masaaki Harada

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We propose a method for classifying quaternary Hermitian LCD codes having large minimum weights. For example, we classify quaternary optimal Hermitian LCD codes of dimension 3.

Original language	English
Pages (from-to)	833-847
Number of pages	15
Journal	Cryptography and Communications
Volume	14
Issue number	4
DOIs	https://doi.org/10.1007/s12095-021-00552-5
Publication status	Published - 2022 Jul

Keywords

Griesmer bound
Linear complementary dual code
Quaternary Hermitian code

ASJC Scopus subject areas

Computer Networks and Communications
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s12095-021-00552-5

Cite this

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title = "On the classification of quaternary optimal Hermitian LCD codes",

abstract = "We propose a method for classifying quaternary Hermitian LCD codes having large minimum weights. For example, we classify quaternary optimal Hermitian LCD codes of dimension 3.",

keywords = "Griesmer bound, Linear complementary dual code, Quaternary Hermitian code",

author = "Makoto Araya and Masaaki Harada",

note = "Funding Information: The authors would like to thank Ken Saito for useful discussions. The authors also would like to thank the anonymous reviewers for useful comments. This work was supported by JSPS KAKENHI Grant Number 19H01802. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

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AU - Harada, Masaaki

N1 - Funding Information: The authors would like to thank Ken Saito for useful discussions. The authors also would like to thank the anonymous reviewers for useful comments. This work was supported by JSPS KAKENHI Grant Number 19H01802. Publisher Copyright: © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2022/7

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N2 - We propose a method for classifying quaternary Hermitian LCD codes having large minimum weights. For example, we classify quaternary optimal Hermitian LCD codes of dimension 3.

AB - We propose a method for classifying quaternary Hermitian LCD codes having large minimum weights. For example, we classify quaternary optimal Hermitian LCD codes of dimension 3.

KW - Griesmer bound

KW - Linear complementary dual code

KW - Quaternary Hermitian code

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On the classification of quaternary optimal Hermitian LCD codes

Abstract

Keywords

ASJC Scopus subject areas

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