Simple Estimation for the Dimension of Subfield Subcodes of AG Codes
Summary :
In this paper, we present a lower bound for the dimension of subfield subcodes of residue Goppa codes on the curve Cab, which exceeds the lower bound given by Stichtenoth when the number of check symbols is not small. We also give an illustrative example which shows that the proposed bound for the dimension of certain residue Goppa code exceeds the true dimension of a BCH code with the same code length and designed distance.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.11 pp.2058-2065
- Publication Date
- 1997/11/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Coding Theory
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Tomoharu SHIBUYA, Ryutaroh MATSUMOTO, Kohichi SAKANIWA, "Simple Estimation for the Dimension of Subfield Subcodes of AG Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 11, pp. 2058-2065, November 1997, doi: .
Abstract: In this paper, we present a lower bound for the dimension of subfield subcodes of residue Goppa codes on the curve Cab, which exceeds the lower bound given by Stichtenoth when the number of check symbols is not small. We also give an illustrative example which shows that the proposed bound for the dimension of certain residue Goppa code exceeds the true dimension of a BCH code with the same code length and designed distance.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_11_2058/_p
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@ARTICLE{e80-a_11_2058,
author={Tomoharu SHIBUYA, Ryutaroh MATSUMOTO, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Simple Estimation for the Dimension of Subfield Subcodes of AG Codes},
year={1997},
volume={E80-A},
number={11},
pages={2058-2065},
abstract={In this paper, we present a lower bound for the dimension of subfield subcodes of residue Goppa codes on the curve Cab, which exceeds the lower bound given by Stichtenoth when the number of check symbols is not small. We also give an illustrative example which shows that the proposed bound for the dimension of certain residue Goppa code exceeds the true dimension of a BCH code with the same code length and designed distance.},
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - Simple Estimation for the Dimension of Subfield Subcodes of AG Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2058
EP - 2065
AU - Tomoharu SHIBUYA
AU - Ryutaroh MATSUMOTO
AU - Kohichi SAKANIWA
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 1997
AB - In this paper, we present a lower bound for the dimension of subfield subcodes of residue Goppa codes on the curve Cab, which exceeds the lower bound given by Stichtenoth when the number of check symbols is not small. We also give an illustrative example which shows that the proposed bound for the dimension of certain residue Goppa code exceeds the true dimension of a BCH code with the same code length and designed distance.
ER -
English
