A Note on a Lower Bound for Generalized Hamming Weights
Summary :
A lower bound for the generalized Hamming weight of linear codes is proposed. The proposed bound is a generalization of the bound we previously presented and gives good estimate for generalized Hamming weight of Reed-Muller, some one point algebraic geometry, and arbitrary cyclic codes. Moreover the proposed bound contains the BCH bound as its special case. The relation between the proposed bound and conventional bounds is also investigated.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.12 pp.3138-3145
- Publication Date
- 2001/12/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Coding Theory
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Tomoharu SHIBUYA, Kohichi SAKANIWA, "A Note on a Lower Bound for Generalized Hamming Weights" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 12, pp. 3138-3145, December 2001, doi: .
Abstract: A lower bound for the generalized Hamming weight of linear codes is proposed. The proposed bound is a generalization of the bound we previously presented and gives good estimate for generalized Hamming weight of Reed-Muller, some one point algebraic geometry, and arbitrary cyclic codes. Moreover the proposed bound contains the BCH bound as its special case. The relation between the proposed bound and conventional bounds is also investigated.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_12_3138/_p
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@ARTICLE{e84-a_12_3138,
author={Tomoharu SHIBUYA, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Note on a Lower Bound for Generalized Hamming Weights},
year={2001},
volume={E84-A},
number={12},
pages={3138-3145},
abstract={A lower bound for the generalized Hamming weight of linear codes is proposed. The proposed bound is a generalization of the bound we previously presented and gives good estimate for generalized Hamming weight of Reed-Muller, some one point algebraic geometry, and arbitrary cyclic codes. Moreover the proposed bound contains the BCH bound as its special case. The relation between the proposed bound and conventional bounds is also investigated.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - A Note on a Lower Bound for Generalized Hamming Weights
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3138
EP - 3145
AU - Tomoharu SHIBUYA
AU - Kohichi SAKANIWA
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2001
AB - A lower bound for the generalized Hamming weight of linear codes is proposed. The proposed bound is a generalization of the bound we previously presented and gives good estimate for generalized Hamming weight of Reed-Muller, some one point algebraic geometry, and arbitrary cyclic codes. Moreover the proposed bound contains the BCH bound as its special case. The relation between the proposed bound and conventional bounds is also investigated.
ER -
English
