IEICE TRANSACTIONS on Fundamentals
The Weight Distributions of the (256, k) Extended Binary Primitive BCH Codes with k≤71 and k≥187
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E104-A No.9 pp.1321-1328
- Publication Date
- 2021/09/01
- Publicized
- 2021/03/12
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2020EAP1119
- Type of Manuscript
- PAPER
- Category
- Coding Theory
Authors
Toru FUJIWARA
Osaka University
Takuya KUSAKA
Okayama University
Keyword
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Toru FUJIWARA, Takuya KUSAKA, "The Weight Distributions of the (256, k) Extended Binary Primitive BCH Codes with k≤71 and k≥187" in IEICE TRANSACTIONS on Fundamentals,
vol. E104-A, no. 9, pp. 1321-1328, September 2021, doi: 10.1587/transfun.2020EAP1119.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2020EAP1119/_p
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@ARTICLE{e104-a_9_1321,
author={Toru FUJIWARA, Takuya KUSAKA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Weight Distributions of the (256, k) Extended Binary Primitive BCH Codes with k≤71 and k≥187},
year={2021},
volume={E104-A},
number={9},
pages={1321-1328},
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.},
keywords={},
doi={10.1587/transfun.2020EAP1119},
ISSN={1745-1337},
month={September},}
Copy
TY - JOUR
TI - The Weight Distributions of the (256, k) Extended Binary Primitive BCH Codes with k≤71 and k≥187
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1321
EP - 1328
AU - Toru FUJIWARA
AU - Takuya KUSAKA
PY - 2021
DO - 10.1587/transfun.2020EAP1119
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E104-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2021
AB - 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.
ER -
English
