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Classification of optimal quaternary Hermitian LCD codes of dimension $2$ (2004.07059v2)
Published 15 Apr 2020 in math.CO, cs.IT, and math.IT
Abstract: Hermitian linear complementary dual codes are linear codes whose intersection with their Hermitian dual code is 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 $2$.