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Paper Abstract and Keywords
Presentation 2018-11-22 10:50
Identification Scheme Based on the Binary Syndrome Decoding Problem Using High Density Parity Check Codes
Haruka Ito, Masanori Hirotomo (Saga Univ.), Youji Fukuta (Kindai Univ.), Masami Mohri (Gifu Univ.), Yoshiaki Shiraishi (Kobe Univ.) ICSS2018-62
Abstract (in Japanese) (See Japanese page) 
(in English) Most of the currently used identification schemes can not be safely used if factoring factorization and discrete logarithm problem are solved efficiently.In response to such problems, many identification schemes having tolerance have been proposed.Although there is an improved scheme to reduce the key size by using the public matrix having the cyclic structure, various attack algorithms have been proposed with the cyclic structure as a weak point.In this paper, we propose an identification scheme that has tolerance and small key size and computational complexity.The key size is reduced by making the parity check matrix of the public key a matrix composed of blocks of cyclic matrices of a plurality of stages.In order to cope with existing attacks with a weak point in the cyclic structure, the cyclic structure is eliminated for the entire codeword.
Furthermore, we show that the calculation matrix can be reduced by making the public matrix dense.We also evaluate the security level, key size, computational complexity and safety of the proposed scheme.
Keyword (in Japanese) (See Japanese page) 
(in English) zero knowledge proof identification / syndrome decoding problem / high density parity check codes / post quantum / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 315, ICSS2018-62, pp. 49-54, Nov. 2018.
Paper # ICSS2018-62 
Date of Issue 2018-11-14 (ICSS) 
ISSN Online edition: ISSN 2432-6380
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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 ICSS  
Conference Date 2018-11-21 - 2018-11-22 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To ICSS 
Conference Code 2018-11-ICSS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Identification Scheme Based on the Binary Syndrome Decoding Problem Using High Density Parity Check Codes 
Sub Title (in English)  
Keyword(1) zero knowledge proof identification  
Keyword(2) syndrome decoding problem  
Keyword(3) high density parity check codes  
Keyword(4) post quantum  
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1st Author's Name Haruka Ito  
1st Author's Affiliation Saga University (Saga Univ.)
2nd Author's Name Masanori Hirotomo  
2nd Author's Affiliation Saga University (Saga Univ.)
3rd Author's Name Youji Fukuta  
3rd Author's Affiliation Kindai University (Kindai Univ.)
4th Author's Name Masami Mohri  
4th Author's Affiliation Gifu University (Gifu Univ.)
5th Author's Name Yoshiaki Shiraishi  
5th Author's Affiliation Kobe University (Kobe Univ.)
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Speaker Author-1 
Date Time 2018-11-22 10:50:00 
Presentation Time 25 minutes 
Registration for ICSS 
Paper # ICSS2018-62 
Volume (vol) vol.118 
Number (no) no.315 
Page pp.49-54 
#Pages
Date of Issue 2018-11-14 (ICSS) 


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