Some new classes of quantum BCH codes

摘要

Due to efficient encoding and decoding algorithms, BCH codes have many applications in data storage systems and satellite communications. Meanwhile, one advantage of BCH codes is to construct quantum codes. In this paper, we assume that q 1mod m, where m is a positive integer. We first study a class of q-ary quantum codes of length r(q(m)-1)/q-1 by CSS construction, where r |q-1. Then, we construct two families of q-ary quantum codes of length r (q(2m)-1)/q(2)-1 by Hermitian construction. These constructions produce new quantum codes with larger dimensions.

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