Classification of $q$-Ary Perfect Quantum Codes
Zhuo Li, Lijuan Xing · IEEE Transactions on Information Theory · 2012
We solve the problem of the classification ofq-ary perfect quantum codes. We prove that the only nontrivialq-ary perfect quantum codes are those with the parameters (((q2l- 1)/(q2- 1),qn- 2l,3))q. There exist no other nontrivialq-ary perfect quantum codes.