Abstract
Computing the weight distribution of a code is a challenging problem in coding theory. In this paper, the weight distributions of (256, k) extended binary primitive BCH codes with k ≤ 71 and k ≥ 187 are given. The weight distributions of the codes with k ≤ 63 and k ≥ 207 have already been obtained in our previous work. Affine permutation and trellis structure are used to reduce the computing time. Computer programs in C language which use recent CPU instructions, such as SIMD, are developed. These programs can be deployed even on an entry model workstation to obtain the new results in this paper.
Original language | English |
---|---|
Pages (from-to) | 1321-1328 |
Number of pages | 8 |
Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
Volume | E104A |
Issue number | 9 |
DOIs | |
Publication status | Published - 2021 |
Keywords
- Affine permutation
- Automorphism group of code
- BCH code
- SIMD
- Weight distribution
ASJC Scopus subject areas
- Signal Processing
- Computer Graphics and Computer-Aided Design
- Electrical and Electronic Engineering
- Applied Mathematics