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New Quaternary codes with small Plotkin-defects from two-generator simplicial complexes
A recent characterization of all lengths of Plotkin-optimal quaternary (that is, over the ring $\mathbb{Z}_4$) codes of arbitrary type \cite{tang2025plotkin} also pins down the parameters for which no Plotkin-optimal code exists. In this article, we determine the best achievable parameters in severa
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