两类非对称量子码的构造

摘要

In this paper, we discuss the problem on the construction of asymmetric quantum codes from primitive narrow sense BCH codes. Take advantage of q2⁃ary Hermite dual containing BCH code, we construct two families of new asymmetric quantum codes with much larger z⁃distance. Furthermore, the parameters of our asymmetric quan⁃tum codes presented here have better than the ones avaliable in the literature.%通过分圆陪集确定出q2⁃元域上2个嵌套的BCH码满足Hermite对偶包含的条件；利用这些满足Hermite对偶包含条件的本原BCH码构造出两类非对称量子码的参数，使构造出的码具有较大的z⁃距离，而且其参数优于已有文献中的结论，从而提高了码的纠错能力。