DocumentCode
1266208
Title
A Varshamov-Gilbert bound for a class of formally self-dual codes and related quantum codes
Author
Tonchev, Vladimir D.
Author_Institution
Dept. of Math. Sci., Michigan Technol. Univ., Houghton, MI, USA
Volume
48
Issue
4
fYear
2002
fDate
4/1/2002 12:00:00 AM
Firstpage
975
Lastpage
977
Abstract
It is proved that a class of q-ary (2n,n) formally self-dual codes obtained from symmetric matrices over GF (q), contains codes that meet the Varshamov-Gilbert bound. The codes are self-dual with respect to the symplectic inner product and yield quantum codes encoding one state with n q-ary qubits and having minimum distance proportional to n
Keywords
Galois fields; dual codes; linear codes; matrix algebra; quantum communication; Varshamov-Gilbert bound; formally self-dual codes; minimum distance; q-ary codes; quantum codes; qubits; symmetric matrices; symplectic inner product; Encoding; Galois fields; Hamming distance; Hamming weight; Linear code; Parity check codes; Rain; Space technology; Symmetric matrices;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.992809
Filename
992809
Link To Document