Classification of optimal quaternary Hermitian LCD codes of dimension 2

  • Keita Ishizuka Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University
Keywords: Linear complementary dual code, Hermitian linear complementary dual code, Optimal codes


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 $2$.


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