New quantum MDS codes

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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Bibliographic Details
Main Authors: Zhang, Guanghui, Chen, Bocong
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2015
Subjects:
DRNTU::Science::Physics::Atomic physics::Quantum theory
Online Access:https://hdl.handle.net/10356/106908
http://hdl.handle.net/10220/25211
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Institution: Nanyang Technological University
Language: English
Description
Summary: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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