Relations between the local weight distributions of a linear block code, its extended code, and its even weight subcode
Year: 2005
Type: conference-paper
Abstract: 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 les 50, 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 les 50 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
Authors: K. Yasunaga, T. Fujiwara
Institution: The University of Osaka
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2164006493