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Classification of q-Ary Perfect Quantum Codes

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2 Author(s)
Zhuo Li ; State Key Lab. of Integrated Services Networks, Xidian Univ., Xi'an, China ; Lijuan Xing

We solve the problem of the classification of q-ary perfect quantum codes. We prove that the only nontrivial q-ary perfect quantum codes are those with the parameters (((q2l - 1)/(q2 - 1), qn - 2l,3))q. There exist no other nontrivial q -ary perfect quantum codes.

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Information Theory, IEEE Transactions on  (Volume:59 ,  Issue: 1 )