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 infinitely many optimum cyclic -burst-correcting codes exist, i.e., codes whose length , redundancy , and burst-correcting capability , satisfy . Some optimum codes for , and are also studied in detail.
Keywords :
Burst-correction coding; Binary codes; Information theory; Mathematics; Polynomials;