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New Quantum MDS Codes From Negacyclic Codes

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2 Author(s)
Xiaoshan Kai ; Sch. of Math., Hefei Univ. of Technol., Hefei, China ; Shixin Zhu

Let q be an odd prime power. Based on classical negacyclic codes, we construct two classes of quantum maximum-distance-separable (MDS) codes with parameters [[q2+1, q2-2d+3, d]]q where q ≡ 1 (mod 4) and 2 ≤ dq+1 is even, and [[(q2+1)/2,(q2+1)/2-2d+2,d]]q where 3 ≤ dq is odd. Some of these quantum MDS codes are new in the sense that their parameters are different from all the previously known ones.

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Information Theory, IEEE Transactions on  (Volume:59 ,  Issue: 2 )