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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| المؤلفون الرئيسيون: | , |
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| مؤلفون آخرون: | |
| التنسيق: | مقال |
| اللغة: | English |
| منشور في: |
2015
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://hdl.handle.net/10356/106908 http://hdl.handle.net/10220/25211 |
| الوسوم: |
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| الملخص: | 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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