Classification of optimal quaternary Hermitian LCD codes of dimension 2

Authors

DOI:

https://doi.org/10.13069/jacodesmath.790748

Keywords:

Linear complementary dual code, Hermitian linear complementary dual code, Optimal codes

Abstract

Hermitian linear complementary dual codes are linear codes whose intersections with their Hermitian dual codes are trivial. The largest minimum weight among quaternary Hermitian linear complementary dual codes of dimension $2$ is known for each length. We give the complete classification of optimal quaternary Hermitian linear complementary dual codes of dimension $2$.

Received: 18 April 2020| Accepted: 28 May 2020

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Published

2020-09-06

How to Cite

Ishizuka, K. (2020). Classification of optimal quaternary Hermitian LCD codes of dimension 2. Journal of Algebra Combinatorics Discrete Structures and Applications, 7(3), 229–236. https://doi.org/10.13069/jacodesmath.790748

Issue

Vol. 7 Issue 3: September 2020

Section

Articles