Dual Containing BCH Codes and New Asymmetric Quantum Codes
Yuena Ma, Xiaoyi Feng, Liangdong Lv, Jiakun Li · 2015
In this paper, we discuss the problem on the construction of asymmetric quantum codes [[n,k,dz /dx]]4from primitive narrow sense BCH codes. Take advantage of dual containing BCH codes of length n = 4m- 1 where m = 2l and mm =2l±1 , we construct two families of new asymmetric quantum codes with dz≥ δmax+1, where δmaxis the maximal designed distance of dual containing narrow sense BCH code. Our asymmetric quantum codes are new ones, and are not included in the known literature.