New quantum MDS codes
In this paper, we construct two classes of new quantum maximum-distance-separable (MDS) codes with parameters [[ (q2 ����-1)/4 ,(q2 ����-1)/4- 2d + 2,d]]q, where q is an odd prime power with q=3 (mod 4) and 2<= d <=(3q ����-1) / 4 ; [[8(q ����-1); 8(q- ����1) ����-2d+2, d]]q, where q is an odd...
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sg-ntu-dr.10356-1069082023-02-28T19:22:22Z New quantum MDS codes Zhang, Guanghui Chen, Bocong School of Physical and Mathematical Sciences DRNTU::Science::Physics::Atomic physics::Quantum theory In this paper, we construct two classes of new quantum maximum-distance-separable (MDS) codes with parameters [[ (q2 ����-1)/4 ,(q2 ����-1)/4- 2d + 2,d]]q, where q is an odd prime power with q=3 (mod 4) and 2<= d <=(3q ����-1) / 4 ; [[8(q ����-1); 8(q- ����1) ����-2d+2, d]]q, where q is an odd prime power with the form q = 8t- ����1 (t is an even positive integer) and 2<= d<= (q+15)/ 2 . Compared the parameters with all known quantum MDS codes, the quantum MDS codes exhibited here have minimum distances bigger than the ones available in the literature. Accepted version 2015-03-10T02:28:37Z 2019-12-06T22:20:46Z 2015-03-10T02:28:37Z 2019-12-06T22:20:46Z 2014 2014 Journal Article Zhang, G., & Chen, B. (2014). New quantum MDS codes. International journal of quantum information, 12(04), 1450019-. https://hdl.handle.net/10356/106908 http://hdl.handle.net/10220/25211 10.1142/S0219749914500191 en International journal of quantum information © 2014 World Scientific Publishing Company. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal of Quantum Information, World Scientific Publishing Company. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1142/S0219749914500191]. 8 p. application/pdf |
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DRNTU::Science::Physics::Atomic physics::Quantum theory Zhang, Guanghui Chen, Bocong New quantum MDS codes |
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In this paper, we construct two classes of new quantum maximum-distance-separable (MDS) codes with parameters [[ (q2 ����-1)/4 ,(q2 ����-1)/4- 2d + 2,d]]q, where q is an odd prime power with q=3 (mod 4) and 2<= d <=(3q ����-1) / 4 ; [[8(q ����-1); 8(q- ����1) ����-2d+2, d]]q, where q is an odd prime power with the form q = 8t- ����1 (t is an even positive integer) and 2<= d<= (q+15)/ 2 . Compared the parameters with all known quantum MDS codes, the quantum MDS codes exhibited here have minimum distances bigger than the ones available in the literature. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Zhang, Guanghui Chen, Bocong |
| format |
Article |
| author |
Zhang, Guanghui Chen, Bocong |
| author_sort |
Zhang, Guanghui |
| title |
New quantum MDS codes |
| title_short |
New quantum MDS codes |
| title_full |
New quantum MDS codes |
| title_fullStr |
New quantum MDS codes |
| title_full_unstemmed |
New quantum MDS codes |
| title_sort |
new quantum mds codes |
| publishDate |
2015 |
| url |
https://hdl.handle.net/10356/106908 http://hdl.handle.net/10220/25211 |
| _version_ |
1759854399269634048 |