Remark on subcodes of linear complementary dual codes

Masaaki Harada; Ken Saito

doi:10.1016/j.ipl.2020.105963

Remark on subcodes of linear complementary dual codes

Masaaki Harada, Ken Saito

INF - System Information Sciences

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

4 Citations (Scopus)

Abstract

We show that any ternary Euclidean (resp. quaternary Hermitian) linear complementary dual [n,k] code contains a Euclidean (resp. Hermitian) linear complementary dual [n,k−1] subcode for 2≤k≤n. As a consequence, we derive a bound on the largest minimum weights among ternary Euclidean linear complementary dual codes and quaternary Hermitian linear complementary dual codes.

Original language	English
Article number	105963
Journal	Information Processing Letters
Volume	159-160
DOIs	https://doi.org/10.1016/j.ipl.2020.105963
Publication status	Published - 2020 Jul

Keywords

Combinatorial problems
Linear complementary dual code
Minimum weight
Subcode

ASJC Scopus subject areas

Theoretical Computer Science
Signal Processing
Information Systems
Computer Science Applications

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10.1016/j.ipl.2020.105963

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title = "Remark on subcodes of linear complementary dual codes",

abstract = "We show that any ternary Euclidean (resp. quaternary Hermitian) linear complementary dual [n,k] code contains a Euclidean (resp. Hermitian) linear complementary dual [n,k−1] subcode for 2≤k≤n. As a consequence, we derive a bound on the largest minimum weights among ternary Euclidean linear complementary dual codes and quaternary Hermitian linear complementary dual codes.",

keywords = "Combinatorial problems, Linear complementary dual code, Minimum weight, Subcode",

author = "Masaaki Harada and Ken Saito",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

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doi = "10.1016/j.ipl.2020.105963",

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T1 - Remark on subcodes of linear complementary dual codes

AU - Harada, Masaaki

AU - Saito, Ken

PY - 2020/7

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N2 - We show that any ternary Euclidean (resp. quaternary Hermitian) linear complementary dual [n,k] code contains a Euclidean (resp. Hermitian) linear complementary dual [n,k−1] subcode for 2≤k≤n. As a consequence, we derive a bound on the largest minimum weights among ternary Euclidean linear complementary dual codes and quaternary Hermitian linear complementary dual codes.

AB - We show that any ternary Euclidean (resp. quaternary Hermitian) linear complementary dual [n,k] code contains a Euclidean (resp. Hermitian) linear complementary dual [n,k−1] subcode for 2≤k≤n. As a consequence, we derive a bound on the largest minimum weights among ternary Euclidean linear complementary dual codes and quaternary Hermitian linear complementary dual codes.

KW - Combinatorial problems

KW - Linear complementary dual code

KW - Minimum weight

KW - Subcode

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DO - 10.1016/j.ipl.2020.105963

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JO - Information Processing Letters

JF - Information Processing Letters

SN - 0020-0190

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ER -

Remark on subcodes of linear complementary dual codes

Abstract

Keywords

ASJC Scopus subject areas

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