New Codes from Cyclic and Negacyclic Codes of Even Length over $\mathbb{Z}_4$
For coding theory researchers, this provides new codes with better parameters, but the approach is incremental.
The authors used theoretical results to design search algorithms that found 2500 new cyclic codes and 730 negacyclic codes over Z4 with improved parameters, and derived binary quantum codes with good parameters.
This paper uses theoretical results previously established in the literature to design search algorithms to find new linear codes over $\mathbb{Z}_4$ 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 $\mathbb{Z}_4$ codes.