Quantum codes from (1-2u(1)-2u(2) - ...-2u(m))-skew constacyclic codes over the ring F-q + u(1)F(q) + ... + u(2m)F(q)

摘要

In this paper, we study a class of skew constacyclic codes over the ring R = F-q + u(1)F(q)+ ... + u(2m) F-q, where u(i)(2) = u(i), u(i)u(j) = u(j)u(i) = 0, for i, j = 1, 2,..., 2m, i not equal j and q = p(s), and derive the generator polynomials of this class of codes over R. Also, by using Calderbank-Shor-Steane construction, some new non-binary quantum codes have been obtained. Moreover, new quantum codes [[225, 201, 5]](9), [[351, 333, 4]](9), [[405, 393, 3]](9), [[405, 381, 5]](9) have been constructed.