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Paper Abstract and Keywords
Presentation 2005-05-26 14:30
On Small-Scale Decoders for Codes on C_ab Curves
Hajime Matsui, Seiichi Mita (Toyota Tech. Inst.)
Abstract (in Japanese) (See Japanese page) 
(in English) In the decoding of codes on algebraic curves, Berlekamp-Massey-Sakata (BMS) algorithm is often used for the location of errors. When we represent the minimal pole order of the algebraic curve as a, the circuit scale of the Koetter architecture is a times larger than that of the Reed-Solomon (RS) decoders. This is caused by the Koetter architecture’s a-multiple structure of the RS decoders. In the case of codes on elliptic curves, it is shown that the number of finite-field calculators of such decoders is reduced up to the same as the RS decoders. In this research, we give a description of our decoder by using a program and a numerical example, and consider the controlling and clock-timing of registers and switches. Then it is shown that the total number of registers and the total clock of decoders are reduced up to approximately 2/3.
Keyword (in Japanese) (See Japanese page) 
(in English) Berlekamp-Massey-Sakata algorithm / Koetter architecture / Reed-Solomon codes / codes on algebraic curves / Groebner basis / algebraic geometric codes / /  
Reference Info. IEICE Tech. Rep., vol. 105, no. 84, IT2005-16, pp. 19-23, May 2005.
Paper # IT2005-16 
Date of Issue 2005-05-19 (IT) 
ISSN Print edition: ISSN 0913-5685
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Conference Information
Committee IT  
Conference Date 2005-05-25 - 2005-05-27 
Place (in Japanese) (See Japanese page) 
Place (in English) Univ. of Hawaii 
Topics (in Japanese) (See Japanese page) 
Topics (in English) general 
Paper Information
Registration To IT 
Conference Code 2005-05-IT 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On Small-Scale Decoders for Codes on C_ab Curves 
Sub Title (in English)  
Keyword(1) Berlekamp-Massey-Sakata algorithm  
Keyword(2) Koetter architecture  
Keyword(3) Reed-Solomon codes  
Keyword(4) codes on algebraic curves  
Keyword(5) Groebner basis  
Keyword(6) algebraic geometric codes  
Keyword(7)  
Keyword(8)  
1st Author's Name Hajime Matsui  
1st Author's Affiliation Toyota Technological Institute (Toyota Tech. Inst.)
2nd Author's Name Seiichi Mita  
2nd Author's Affiliation Toyota Technological Institute (Toyota Tech. Inst.)
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Speaker Author-1 
Date Time 2005-05-26 14:30:00 
Presentation Time 20 minutes 
Registration for IT 
Paper # IT2005-16 
Volume (vol) vol.105 
Number (no) no.84 
Page pp.19-23 
#Pages
Date of Issue 2005-05-19 (IT) 


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