DocumentCode :
829852
Title :
New binary one-generator quasi-cyclic codes
Author :
Daskalov, Rumen ; Hristov, Plamen
Author_Institution :
Dept. of Math., Tech. Univ. of Gabrovo, Bulgaria
Volume :
49
Issue :
11
fYear :
2003
Firstpage :
3001
Lastpage :
3005
Abstract :
Sixteen new binary quasi-cyclic linear codes improving the best known lower bounds on minimum distance in Brouwer´s tables are constructed. The parameters of these codes are [102, 26, 32], [102, 27, 30], [142, 35, 40], [142, 36, 38] [146, 36, 40], [170, 16, 72], [170, 20, 66], [170, 33, 52] [170, 36, 50], [178, 33, 56], [178, 34, 54], [182, 27, 64] [182, 36, 56], [186, 17, 76], [210, 23, 80], [254, 22, 102] Sixty cyclic and thirty quasi-cyclic codes, which attain the respective bounds in Brouwer´s table and are not included in Chen´s table are presented as well.
Keywords :
binary codes; cyclic codes; Brouwer tables; Chen table; binary codes; linear codes; lower bounds; minimum distance; one-generator quasi-cyclic codes; Algebra; Galois fields; Hamming distance; Linear code; Mathematics; Polynomials; Vectors;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2003.819337
Filename :
1246024
Link To Document :
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