DocumentCode :
911746
Title :
An upper bound on k/n for affine-invariant codes with fixed d/n (Corresp.)
Author :
Kasami, T.
Volume :
15
Issue :
1
fYear :
1969
fDate :
1/1/1969 12:00:00 AM
Firstpage :
174
Lastpage :
176
Abstract :
An upper bound on the transmission ratio k/n for binary cyclic codes whose extended codes are invariant under the affine group of permutations, is presented. As a consequence, the transmission ratio k/n of any affine-invariant code with a fixed d (minimum weight)/ n is shown to approach zero as the code length n increases. This is an extension of the Lin and Weldon result for primitive BCH codes.
Keywords :
Cyclic codes; Permutation codes; Laboratories; Parity check codes; Polynomials; TV; Telegraphy; Upper bound;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1969.1054254
Filename :
1054254
Link To Document :
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