DocumentCode
1154956
Title
New Quasi-Cyclic Codes From Simplex Codes
Author
Chen, Eric Z.
Author_Institution
Sch. of Eng., Kristianstad Univ.
Volume
53
Issue
3
fYear
2007
fDate
3/1/2007 12:00:00 AM
Firstpage
1193
Lastpage
1196
Abstract
As a generalization of cyclic codes, quasi-cyclic (QC) codes contain many good linear codes. But quasi-cyclic codes studied so far are mainly limited to one generator (1-generator) QC codes. In this correspondence, 2-generator and 3-generator QC codes are studied, and many good, new QC codes are constructed from simplex codes. Some new binary QC codes or related codes, that improve the bounds on maximum minimum distance for binary linear codes are constructed. They are 5-generator QC [93,17,34] and [254,23,102] codes, and related [96,17,36], [256,23,104] codes
Keywords
binary codes; cyclic codes; linear codes; binary QC codes; linear codes; quasicyclic code generalization; simplex codes; Databases; Error correction codes; Information theory; Linear code; Notice of Violation; Binary linear codes; quasi-cyclic codes; simplex codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2006.890727
Filename
4106112
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