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Academic paper

New optimal linear codes over $\ZZ_4$

Authors: Hopein Christofen Tang and Djoko SuprijantoPublished: 2026-08-12Paper ID: 2608.12414Category: cs.ITLicense: CC BY 4.0

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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