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.

翻译：本文利用文献中已有的理论结果，设计了搜索算法，从偶数长度的循环码与负循环码中寻找$\mathbb{Z}_4$上的新线性码。通过搜索，我们发现了2500个新循环码和730个负循环码。这些新码相比已知码具有更优的参数。此外，我们还从这些$\mathbb{Z}_4$码中获得了参数良好的二元量子码。