New entanglement-assisted quantum MDS codes with length $$n=\frac{q^2+1}{10\mu }$$
New entanglement-assisted quantum MDS codes with length $$n=\frac{q^2+1}{10\mu }$$
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DOI：
10.1007/s12190-021-01617-7
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发表时间：
2021-08
期刊：
影响因子：
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通讯作者：
Ruqin Gao;Ping Li;Zhonghua Sun;X. Kai
中科院分区：
文献类型：
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作者：
Ruqin Gao;Ping Li;Zhonghua Sun;X. Kai
In this work, by investigating the decomposition of the defining set of constacyclic codes, we obtain two types ofq-ary entanglement-assisted quantum MDS(EAQMDS) codes with length, wheremis a positive integer,qis an odd prime power such thator, and bothandare odd withand. Some of which are minimum distance achievesor even greater than. Moreover, comparing the parameters with those of all known EAQMDS codes, theq-ary EAQMDS codes exhibited here are not covered in the sense that their parameters are more general than the results what have been previously known in the literature.
