A class of Hermitian dual-containing constacyclic codes and related quantum codes

摘要

In this paper, we study a class of Hermitian dual-containing constacyclic codes of length n = q(2m)-1/q+1, where q is a power of 2 and m >= 2 is an integer. We apply the Hermitian construction to gain quantum constacyclic codes, and lots of codes obtained in the present paper have parameters better than those of the known quantum codes. The Hermitian hull of a linear code is defined to be the intersection of itself and its Hermitian dual. We construct a family of entanglement-assisted quantum errorcorrecting (EAQEC) codes with n = 4(m)-1/3 via determining the dimensions of the Hermitian Hulls.

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