Weight Distributions of Cyclic Self-Dual Codes
INRIA, projet CODES
and University of Limoges, LACO.
IEEE Transactions on Information Theory, vol 49, no 6, June 2003,
We give a 1-level squaring construction for binary repeated-root
cyclic codes of length n=2^ab where a is greater than
1 and b is odd. This allows us to
obtain the weight distributions of all cyclic binary self-dual codes
of lengths up to 110, which are not accessible by
direct computation. We also
use the shadow construction, as a particular method for Type I self-dual codes.
Cyclic codes, self-dual codes,
shadow codes, squaring construction, \uv construction, weight enumerator.