New Codes from Cyclic and Negacyclic Codes of Even Length over Z4

Abstract

This paper uses theoretical results previously established in the literature to design search algorithms to find new linear codes over Z4 from cyclic and negacyclic codes of even length. As a result of these searches, we have found 2500 new cyclic codes and 730 negacyclic codes. These new codes exhibit improved parameters compared to previously known codes. Additionally, we have obtained binary quantum codes with good parameters from such Z4 codes.

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