DocumentCode
112550
Title
Some New Classes of Quantum MDS Codes From Constacyclic Codes
Author
Tao Zhang ; Gennian Ge
Author_Institution
Sch. of Math. Sci., Zhejiang Univ., Hangzhou, China
Volume
61
Issue
9
fYear
2015
fDate
Sept. 2015
Firstpage
5224
Lastpage
5228
Abstract
Quantum maximum-distance-separable (MDS) codes form an important family of quantum codes. In this paper, using Hermitian construction and classical constacyclic codes, we construct six classes of quantum MDS codes. Two of these six classes of quantum MDS codes have larger minimum distance than the ones available in the literature. Most of these quantum MDS codes are new in the sense that their parameters are not covered by the codes available in the literature.
Keywords
Hermitian matrices; cyclic codes; Hermitian construction; constacyclic codes; maximum distance separable; quantum MDS codes; Generators; Linear codes; Polynomials; Quantum computing; Quantum mechanics; Hermitian construction; Quantum MDS codes; constacyclic codes; cyclotomic cosets; cyclotomic cosets.;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2015.2450235
Filename
7137659
Link To Document