Miura's Generalization of One-Point AG Codes is Equivalent to Hφholdt, van Lint and Pellikaan's Generalization
Summary :
Hφholdt, van Lint and Pellikaan proposed a generalization of one-point AG codes, called the evaluation codes. We show that an evaluation code from a weight function can be constructed as Miura's generalization of one-point AG codes. Hence we can construct a one-point AG code as good as a given evaluation code from a weight function.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.10 pp.2007-2010
- Publication Date
- 1999/10/25
- 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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Ryutaroh MATSUMOTO, "Miura's Generalization of One-Point AG Codes is Equivalent to Hφholdt, van Lint and Pellikaan's Generalization" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 10, pp. 2007-2010, October 1999, doi: .
Abstract: Hφholdt, van Lint and Pellikaan proposed a generalization of one-point AG codes, called the evaluation codes. We show that an evaluation code from a weight function can be constructed as Miura's generalization of one-point AG codes. Hence we can construct a one-point AG code as good as a given evaluation code from a weight function.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_10_2007/_p
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@ARTICLE{e82-a_10_2007,
author={Ryutaroh MATSUMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Miura's Generalization of One-Point AG Codes is Equivalent to Hφholdt, van Lint and Pellikaan's Generalization},
year={1999},
volume={E82-A},
number={10},
pages={2007-2010},
abstract={Hφholdt, van Lint and Pellikaan proposed a generalization of one-point AG codes, called the evaluation codes. We show that an evaluation code from a weight function can be constructed as Miura's generalization of one-point AG codes. Hence we can construct a one-point AG code as good as a given evaluation code from a weight function.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - Miura's Generalization of One-Point AG Codes is Equivalent to Hφholdt, van Lint and Pellikaan's Generalization
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2007
EP - 2010
AU - Ryutaroh MATSUMOTO
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1999
AB - Hφholdt, van Lint and Pellikaan proposed a generalization of one-point AG codes, called the evaluation codes. We show that an evaluation code from a weight function can be constructed as Miura's generalization of one-point AG codes. Hence we can construct a one-point AG code as good as a given evaluation code from a weight function.
ER -
English
