Research on fast encoding and decoding of multipoint codes from algebraic curves
Research on fast encoding and decoding of multipoint codes from algebraic curves
批准号:
22560391
负责人:
FUJISAWA Masaya
金额:
$1.16万
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2010
资助国家:
日本
项目状态:
已结题
起止时间:
2010 至 2012
中文摘要
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英文摘要
In this researches, we presented fast decoding methods for primal and dual multipoint codes from algebraic curves which are a broad class of algebraic geometry codes derived from algebraic functions which have multiple poles on their defining curvs. Since multipoint codes can be viewedas subcodes of one-point codes, they can be decoded efficiently by using the BMS algorithm
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Can the BMS algorithm decode up to $¥lfloor (d_G-g-1)/2 \rfloor$ errors? Yes, but with some additional remarks
BMS 算法能否解码最多 $lfloor (d_G-g-1)/2
floor$ 错误?
DOI:
--
发表时间:
2010
期刊:
IEICE Trans.Fundamentals
影响因子:
--
作者:
[Shojiro Sakata, Masaya Fujisawa]
通讯作者:
Masaya Fujisawa
DOI:
10.1109/isit.2011.6033684
发表时间:
2011
期刊:
Proc.of IEEE International Symposium on Information Theory
影响因子:
--
作者:
[Masaya Fujisawa, Shojiro Sakata]
通讯作者:
Shojiro Sakata
DOI:
--
发表时间:
2011
期刊:
Proceedings of 2011 IEEE International Symposium on Information Theory
影响因子:
--
作者:
[Masaya Fujisawa, Shojiro Sakata]
通讯作者:
Shojiro Sakata
多点Cab 曲線符号の改良符号について
关于多点Cab曲线代码的改进代码
DOI:
--
发表时间:
2012
期刊:
影响因子:
--
作者:
[藤沢 匡哉, 阪田 省二郎]
通讯作者:
阪田 省二郎
Improved multipoint codes from Hermitian curves
改进了 Hermitian 曲线的多点编码
DOI:
--
发表时间:
2012
期刊:
Proceedings of International Symposium on Information Theory and its Applications
影响因子:
--
作者:
[Masaya Fujisawa, Shojiro Sakata]
通讯作者:
Shojiro Sakata
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