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) |
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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) |
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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) |
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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 |
6 |
Date of Issue |
2009-03-02 (IT, ISEC, WBS) |
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