New Quantum Codes From Matrix-Product Codes
Hao Song, Luo Bin Guo, Liang Dong Lv, Gang Chen · Procedia Computer Science · 2019
In this paper, the construction of matrix-product codes with Euclidean dual-containing are studied. The critical issue is to determine the parameters of the matrix-product code and its dual code. Therefore, the necessary conditions for which the matrix-product code is Euclidean dual-containing are given. Consequently, new non-binary quantum codes are derived from those matrix-product codes by q-ary Steane’s construction, and some examples are given for q =4,5.