Classification of optimal quaternary Hermitian LCD codes of dimension $2$

Yıl 2020, Cilt: 7 Sayı: 3, 229 - 236, 06.09.2020

Keita Ishızuka

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

Cited By: 2

https://izlik.org/JA72HX55XW

Öz

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 $2$. 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 $2$.

Anahtar Kelimeler

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

Kaynakça

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