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Paper Abstract and Keywords
Presentation 2015-07-03 11:05
Proposal of Accelerating XL algorithm by Assigning Constants to Variables
Masahito Gotaishi, Shigeo Tsujii (Chuo Univ.) ISEC2015-23 SITE2015-21 ICSS2015-33 EMM2015-31
Abstract (in Japanese) (See Japanese page) 
(in English) The Fixing strategy, which has been long used in XL algorithm is improved so that more variables can be fi xed. This improvement is constituted by (1)Downstream XL, with exclusively polynomials with higher degree generated; (2)Quick detection of no solution"; and (3) Quick assignment of constants to variables. This method has enabled notebook computers to perform the Groebner bases computation which is impossible for workstations with hefty memory in considerably short time.
Keyword (in Japanese) (See Japanese page) 
(in English) Multivariate Polynomials / Multivariate Public Key Cryptosystem / Groebner basis / XL / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 119, ISEC2015-23, pp. 137-142, July 2015.
Paper # ISEC2015-23 
Date of Issue 2015-06-25 (ISEC, SITE, ICSS, EMM) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 ISEC2015-23 SITE2015-21 ICSS2015-33 EMM2015-31

Conference Information
Conference Date 2015-07-02 - 2015-07-03 
Place (in Japanese) (See Japanese page) 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2015-07-CSEC-ISEC-SITE-ICSS-EMM-SPT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Proposal of Accelerating XL algorithm by Assigning Constants to Variables 
Sub Title (in English)  
Keyword(1) Multivariate Polynomials  
Keyword(2) Multivariate Public Key Cryptosystem  
Keyword(3) Groebner basis  
Keyword(4) XL  
1st Author's Name Masahito Gotaishi  
1st Author's Affiliation Chuo University (Chuo Univ.)
2nd Author's Name Shigeo Tsujii  
2nd Author's Affiliation Chuo University (Chuo Univ.)
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Date Time 2015-07-03 11:05:00 
Presentation Time 25 
Registration for ISEC 
Paper # IEICE-ISEC2015-23,IEICE-SITE2015-21,IEICE-ICSS2015-33,IEICE-EMM2015-31 
Volume (vol) IEICE-115 
Number (no) no.119(ISEC), no.120(SITE), no.121(ICSS), no.122(EMM) 
Page pp.137-142 
#Pages IEICE-6 
Date of Issue IEICE-ISEC-2015-06-25,IEICE-SITE-2015-06-25,IEICE-ICSS-2015-06-25,IEICE-EMM-2015-06-25 

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