Results 1 -
1 of
1
Cyclic Self-Dual Codes
, 1983
"... It is shown that if the automorphism group of a binary self-dual code satisfies a certain condition then the code contains words of weight congruent to 2 modulo 4. In particular, no cyclic binary self-dual code can have all its weights divisible by 4. The number of cyclic binary self-dual codes of l ..."
Abstract
-
Cited by 71 (5 self)
- Add to MetaCart
It is shown that if the automorphism group of a binary self-dual code satisfies a certain condition then the code contains words of weight congruent to 2 modulo 4. In particular, no cyclic binary self-dual code can have all its weights divisible by 4. The number of cyclic binary self-dual codes of length n is determined, and the shortest nontrivial code in this class is shown to have length 14.
