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Paper Abstract and Keywords
Presentation 2009-12-16 15:45
A Construction Method of Basis Conversion Matrix by Using Small Multiplicative Group for Cryptographic Applications
Hidehiro Kato, Yasuyuki Nogami (Okayama Univ.), Satoshi Uehara (The Univ. of Kitakyushu), Yoshitaka Morikawa (Okayama Univ.) ISEC2009-77
Abstract (in Japanese) (See Japanese page) 
(in English) Several methods for finding a basis conversion matrix between two different bases in extension field F_{p^m} have been proposed. Among them, the one based on Gauss period normal basis (GNB–based method) is averagely the most efficient. However, since it needs to construct a certain tower field F_{{(p^m)}^n}, some inefficient cases in which the towering degree becomes relatively large have been reported. It is caused from the condition of GNB. In order to overcome the inefficiency, this paper proposes a method that does not need any GNBs in the target extension field F_{p^m} but uses a certain polynomial basis in F_{p^m} derived by a certain small cyclic group in F_{{(p^m)}^n} . Then, the condition for the towering degree is relaxed, some experimental results show that the proposed method substantially accelerates the average computation time for finding a basis conversion matrix.
Keyword (in Japanese) (See Japanese page) 
(in English) extension field / Gauss period normal basis / basis conversion / / / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 337, ISEC2009-77, pp. 43-50, Dec. 2009.
Paper # ISEC2009-77 
Date of Issue 2009-12-09 (ISEC) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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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Conference Information
Committee ISEC  
Conference Date 2009-12-16 - 2009-12-16 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2009-12-ISEC 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Construction Method of Basis Conversion Matrix by Using Small Multiplicative Group for Cryptographic Applications 
Sub Title (in English)  
Keyword(1) extension field  
Keyword(2) Gauss period normal basis  
Keyword(3) basis conversion  
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1st Author's Name Hidehiro Kato  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Yasuyuki Nogami  
2nd Author's Affiliation Okayama University (Okayama Univ.)
3rd Author's Name Satoshi Uehara  
3rd Author's Affiliation The University of Kitakyushu (The Univ. of Kitakyushu)
4th Author's Name Yoshitaka Morikawa  
4th Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2009-12-16 15:45:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2009-77 
Volume (vol) vol.109 
Number (no) no.337 
Page pp.43-50 
#Pages 8 
Date of Issue 2009-12-09 (ISEC) 

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