Recently, a new algorithm to test equivalence of two cyclic codes has been introduced which is efficient and produced useful results. In this work, we generalize this algorithm to constacyclic codes. As an application of the algorithm we found many constacyclic codes with good parameters and properties. In particular, we found 23 new codes that improve the minimum distances of BKLCs.
翻译:最近,引入了一种新的算法,以测试两种周期代码的等同性,这种算法是有效的,并产生了有益的结果。在这项工作中,我们把这种算法概括为周期代码。作为算法的一种应用,我们发现许多具有良好参数和特性的周期代码。特别是,我们发现了23种新代码,改善了BKLC的最低距离。