Some families of asymmetric quantum codes and quantum convolutional codes from constacyclic codes

摘要

Quantum maximal-distance-separable (MDS) codes are an important class of quantum codes. Recently, many scholars utilize constacyclic codes to construct some quantum MDS codes. In this paper, several new families of optimal asymmetric quantum codes and optimal quantum convolutional codes are constructed by using constacyclic codes. Moreover, these quantum codes constructed in this paper are different from the ones in the literature. (C) 2015 Elsevier Inc. All rights reserved.