DocumentCode :
928987
Title :
On quasi-cyclic codes with rate l m (Corresp.)
Author :
van Tilborg, H.
Volume :
24
Issue :
5
fYear :
1978
fDate :
9/1/1978 12:00:00 AM
Firstpage :
628
Lastpage :
630
Abstract :
An integer linear programming problem and an additional divisibility condition are described such that they have a common solution if and only if there is a quasi-cyclic code with rate 1/m . A table of binary quasi-cyclic codes with dimensions seven and eight and rate 1/m for small m is included. In particular, there are binary linear codes with (length, dimension, minimum distance) =(35, 7,16), (42, 7,19), (80, 8, 37), (96, 8, 46) , and (112,8,54) .
Keywords :
Cyclic codes; Decoding; Error correction codes; Hamming distance; Linear code; Mathematics; Polynomials;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1978.1055929
Filename :
1055929
Link To Document :
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