DocumentCode :
942255
Title :
On the existence of optimum cyclic burst- correcting codes
Author :
Abdel-Ghaffar, Khaled ; Mceliece, Robert J. ; Odlyzko, Andrew M. ; Van Tilborg, Henk C A
Volume :
32
Issue :
6
fYear :
1986
fDate :
11/1/1986 12:00:00 AM
Firstpage :
768
Lastpage :
775
Abstract :
It is shown that for each integer b \\geq 1 infinitely many optimum cyclic b -burst-correcting codes exist, i.e., codes whose length n , redundancy r , and burst-correcting capability b , satisfy n = 2^{r-b+1} - 1 . Some optimum codes for b = 3, 4 , and 5 are also studied in detail.
Keywords :
Burst-correction coding; Binary codes; Information theory; Mathematics; Polynomials;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1986.1057242
Filename :
1057242
Link To Document :
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