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
Link To Document :
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