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

#### Keita ISHIZUKA [1]

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 $2$.
Linear complementary dual code, Hermitian linear complementary dual code, Optimal codes
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Primary Language en Engineering Articles Orcid: 0000-0001-5943-6245Author: Keita ISHIZUKA (Primary Author)Institution: Tohoku University, SendaiCountry: Japan Publication Date : September 6, 2020
 Bibtex @research article { jacodesmath790748, journal = {Journal of Algebra Combinatorics Discrete Structures and Applications}, issn = {}, eissn = {2148-838X}, address = {}, publisher = {Yildiz Technical University}, year = {2020}, volume = {7}, pages = {229 - 236}, doi = {10.13069/jacodesmath.790748}, title = {Classification of optimal quaternary Hermitian LCD codes of dimension \$2\$}, key = {cite}, author = {Ishızuka, Keita} } APA Ishızuka, K . (2020). Classification of optimal quaternary Hermitian LCD codes of dimension $2$ . Journal of Algebra Combinatorics Discrete Structures and Applications , 7 (3) , 229-236 . DOI: 10.13069/jacodesmath.790748 MLA Ishızuka, K . "Classification of optimal quaternary Hermitian LCD codes of dimension $2$" . Journal of Algebra Combinatorics Discrete Structures and Applications 7 (2020 ): 229-236 Chicago Ishızuka, K . "Classification of optimal quaternary Hermitian LCD codes of dimension $2$". Journal of Algebra Combinatorics Discrete Structures and Applications 7 (2020 ): 229-236 RIS TY - JOUR T1 - Classification of optimal quaternary Hermitian LCD codes of dimension $2$ AU - Keita Ishızuka Y1 - 2020 PY - 2020 N1 - doi: 10.13069/jacodesmath.790748 DO - 10.13069/jacodesmath.790748 T2 - Journal of Algebra Combinatorics Discrete Structures and Applications JF - Journal JO - JOR SP - 229 EP - 236 VL - 7 IS - 3 SN - -2148-838X M3 - doi: 10.13069/jacodesmath.790748 UR - https://doi.org/10.13069/jacodesmath.790748 Y2 - 2020 ER - EndNote %0 Journal of Algebra Combinatorics Discrete Structures and Applications Classification of optimal quaternary Hermitian LCD codes of dimension $2$ %A Keita Ishızuka %T Classification of optimal quaternary Hermitian LCD codes of dimension $2$ %D 2020 %J Journal of Algebra Combinatorics Discrete Structures and Applications %P -2148-838X %V 7 %N 3 %R doi: 10.13069/jacodesmath.790748 %U 10.13069/jacodesmath.790748 ISNAD Ishızuka, Keita . "Classification of optimal quaternary Hermitian LCD codes of dimension $2$". Journal of Algebra Combinatorics Discrete Structures and Applications 7 / 3 (September 2020): 229-236 . https://doi.org/10.13069/jacodesmath.790748 AMA Ishızuka K . Classification of optimal quaternary Hermitian LCD codes of dimension $2$. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020; 7(3): 229-236. Vancouver Ishızuka K . Classification of optimal quaternary Hermitian LCD codes of dimension $2$. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020; 7(3): 229-236.

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