Computer Science – Information Theory
Scientific paper
2005-08-02
Computer Science
Information Theory
5 pages, 2 figures. To appear in the Proceedings of IEEE International Symposium on Information Theory, Sept. 4-9, 2005, Adela
Scientific paper
Relations between the local weight distributions of a binary linear code, its extended code, and its even weight subcode are presented. In particular, for a code of which the extended code is transitive invariant and contains only codewords with weight multiples of four, the local weight distribution can be obtained from that of the extended code. Using the relations, the local weight distributions of the $(127,k)$ primitive BCH codes for $k\leq50$, the $(127,64)$ punctured third-order Reed-Muller, and their even weight subcodes are obtained from the local weight distribution of the $(128,k)$ extended primitive BCH codes for $k\leq50$ and the $(128,64)$ third-order Reed-Muller code. We also show an approach to improve an algorithm for computing the local weight distribution proposed before.
Fujiwara Toru
Yasunaga Kenji
No associations
LandOfFree
Relations between the Local Weight Distributions of a Linear Block Code, Its Extended Code, and Its Even Weight Subcode does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relations between the Local Weight Distributions of a Linear Block Code, Its Extended Code, and Its Even Weight Subcode, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relations between the Local Weight Distributions of a Linear Block Code, Its Extended Code, and Its Even Weight Subcode will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-615486