DocumentCode
1297481
Title
Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes
Author
Jin, Lingfei ; Ling, San ; Luo, Jinquan ; Xing, Chaoping
Author_Institution
Sch. of Math., Hefei Univ. of Technol., Hefei, China
Volume
56
Issue
9
fYear
2010
Firstpage
4735
Lastpage
4740
Abstract
In this paper, we first construct several classes of classical Hermitian self-orthogonal maximum distance separable (MDS) codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obtained from all previous constructions.
Keywords
orthogonal codes; quantum communication; Hermitian self-orthogonal MDS codes; classical Hermitian self-orthogonal maximum distance separable codes; quantum MDS codes; quantum codes; Chaos; Computer errors; Construction industry; Error correction codes; Geometry; Hilbert space; Information theory; Linear code; Mathematics; Polynomials; Protection; Quantum mechanics; Vectors; Hermitian self-orthogonal codes; algebraic geometry codes; generalized Reed–Solomon codes; maximum distance separable (MDS) codes; quantum MDS codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2010.2054174
Filename
5550401
Link To Document