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Paper Abstract and Keywords
Presentation 2009-03-10 15:40
On the Computational Complexity of the Discrete Logarithm Problem over Algebraic Tori
Yuji Nishigaki, Shingo Hasegawa, Shuji Isobe, Eisuke Koizumi, Masao Sakai, Hiroki Shizuya (Tohoku Univ.) IT2008-127 ISEC2008-185 WBS2008-140
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper we investigate the computational complexity of the discrete logarithm problem over algebraic tori (TDLP).
We show that
(i) each algebraic torus is a computational group,
(ii) TDLP reduces in polynomial time to a set in the intersection of NP and coNP, and
(iii) the order-certified discrete logarithm over a finite field reduces in polynomial to a variation of TDLP.
Keyword (in Japanese) (See Japanese page) 
(in English) Algebraic Tori / Discrete Logarithm Problem / Computational Complexity Theory / / / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 473, ISEC2008-185, pp. 545-550, March 2009.
Paper # ISEC2008-185 
Date of Issue 2009-03-02 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF IT2008-127 ISEC2008-185 WBS2008-140

Conference Information
Committee WBS IT ISEC  
Conference Date 2009-03-09 - 2009-03-10 
Place (in Japanese) (See Japanese page) 
Place (in English) Hakodate Mirai Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2009-03-WBS-IT-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On the Computational Complexity of the Discrete Logarithm Problem over Algebraic Tori 
Sub Title (in English)  
Keyword(1) Algebraic Tori  
Keyword(2) Discrete Logarithm Problem  
Keyword(3) Computational Complexity Theory  
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1st Author's Name Yuji Nishigaki  
1st Author's Affiliation Tohoku Univeresity (Tohoku Univ.)
2nd Author's Name Shingo Hasegawa  
2nd Author's Affiliation Tohoku Univeresity (Tohoku Univ.)
3rd Author's Name Shuji Isobe  
3rd Author's Affiliation Tohoku Univeresity (Tohoku Univ.)
4th Author's Name Eisuke Koizumi  
4th Author's Affiliation Tohoku Univeresity (Tohoku Univ.)
5th Author's Name Masao Sakai  
5th Author's Affiliation Tohoku Univeresity (Tohoku Univ.)
6th Author's Name Hiroki Shizuya  
6th Author's Affiliation Tohoku Univeresity (Tohoku Univ.)
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Speaker Author-1 
Date Time 2009-03-10 15:40:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # IT2008-127, ISEC2008-185, WBS2008-140 
Volume (vol) vol.108 
Number (no) no.472(IT), no.473(ISEC), no.474(WBS) 
Page pp.545-550 
#Pages
Date of Issue 2009-03-02 (IT, ISEC, WBS) 


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