|
1. |
On the weight enumerators of duadic and quadratic residue codes
Gaborit, P.; Nedeloaia, C.-S.; Wassermann, A.;
Information Theory, IEEE Transactions on
Volume 51,
Issue 1,
Jan. 2005
Page(s):402
-
407
Abstract:
In this correspondence, we compute the weight enumerators of various quadratic residue codes over F/sub 2/ and F/sub 3/, together with certain codes of related families like the duadic and the quadratic double circulant codes. We use a parallel algorithm to find the number of codewords of a given (not too high) weight, from which we deduce by usual classical methods for self-dual and formally self-dual codes over F/sub 2/ and F/sub 3/ their associated, previously unknown, weight enumerators. We compute weight enumerators for lengths as high as 152 for binary codes and 96 for ternary codes.
|
Cart
