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arXiv · 2608.12414

New optimal linear codes over $\ZZ_4$

Hopein Christofen Tang·Djoko Suprijanto
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Abstract

In this work, we present novel approaches for constructing linear codes over $\ZZ_4$ from the known ones. We succeeded in obtaining new linear codes, many of which are optimal. In particular, we found all optimal codes for $k_1=2,~k_2=0$ and many optimal codes for $k_1=3,~k_2=0.$

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Hopein Christofen Tang, Djoko Suprijanto. 2026-08-12. New optimal linear codes over $\ZZ_4$. https://arxiv.org/abs/2608.12414

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