Weight Distributions of the Coset Leaders of Some Reed-Muller Codes and BCH Codes

Masaya MAEDA; Toru FUJIWARA

Weight Distributions of the Coset Leaders of Some Reed-Muller Codes and BCH Codes

Masaya MAEDA, Toru FUJIWARA

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This paper treats weight distributions of the coset leaders of binary linear block codes. We first present a method for computing the weight distribution of the coset leaders of a given code using two tables each of which stores the weights of the coset leaders of a related code of the code. Then, the weight distributions of the coset leaders of the (N,K) Reed-Muller codes, binary primitive BCH codes, and their extended codes with N 128 and 29 N-K 42 that are obtained by using the computing method are given.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.3 pp.851-859

Publication Date: 2001/03/01

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Type of Manuscript: PAPER

Category: Coding Theory

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Masaya MAEDA, Toru FUJIWARA, "Weight Distributions of the Coset Leaders of Some Reed-Muller Codes and BCH Codes" in IEICE TRANSACTIONS on Fundamentals, vol. E84-A, no. 3, pp. 851-859, March 2001, doi: .
Abstract: This paper treats weight distributions of the coset leaders of binary linear block codes. We first present a method for computing the weight distribution of the coset leaders of a given code using two tables each of which stores the weights of the coset leaders of a related code of the code. Then, the weight distributions of the coset leaders of the (N,K) Reed-Muller codes, binary primitive BCH codes, and their extended codes with N 128 and 29 N-K 42 that are obtained by using the computing method are given.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_3_851/_p

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@ARTICLE{e84-a_3_851,
author={Masaya MAEDA, Toru FUJIWARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Weight Distributions of the Coset Leaders of Some Reed-Muller Codes and BCH Codes},
year={2001},
volume={E84-A},
number={3},
pages={851-859},
abstract={This paper treats weight distributions of the coset leaders of binary linear block codes. We first present a method for computing the weight distribution of the coset leaders of a given code using two tables each of which stores the weights of the coset leaders of a related code of the code. Then, the weight distributions of the coset leaders of the (N,K) Reed-Muller codes, binary primitive BCH codes, and their extended codes with N 128 and 29 N-K 42 that are obtained by using the computing method are given.},
keywords={},
doi={},
ISSN={},
month={March},}

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TY - JOUR
TI - Weight Distributions of the Coset Leaders of Some Reed-Muller Codes and BCH Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 851
EP - 859
AU - Masaya MAEDA
AU - Toru FUJIWARA
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2001
AB - This paper treats weight distributions of the coset leaders of binary linear block codes. We first present a method for computing the weight distribution of the coset leaders of a given code using two tables each of which stores the weights of the coset leaders of a related code of the code. Then, the weight distributions of the coset leaders of the (N,K) Reed-Muller codes, binary primitive BCH codes, and their extended codes with N 128 and 29 N-K 42 that are obtained by using the computing method are given.
ER -