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Paper Abstract and Keywords
Presentation 2023-03-15 14:55
Experiments on pre-image computation time in Keccak[r = 40, c = 160, nr = 2]
Xinyu Qi, Atsushi Fujioka (Kanagawa Univ), Kazumaro Aoki (BUNKYO Univ) IT2022-131 ISEC2022-110 WBS2022-128 RCC2022-128
Abstract (in Japanese) (See Japanese page) 
(in English) Keccak is the technology behind the cryptographic hash function selected by the National Institute of Standards and Technology (NIST) as SHA-3. Keccak has an internal state with a total length of r + c bits, which consists of a rate (r) part that directly affects input/output and a capacity (c) part that does directly not affect input/output. With the block replacement function, the internal state can be stirred up nr times (number of rounds), and further block replacement is repeated according to the output length (the proposers express it as Keccak[r = 40, c = 160, nr = 1]). In this paper, we aim to evaluate the pre-image attack resistance of Keccak, whose parameters and internal state pair c/(r + c) are large, for which we do not yet have an effective attack method. We performed the pre-image attack on Keccak[r = 40, c= 160, nr = 2], although the input is limited. Then, for Keccak[r = 20, c = 80, nr = 2], where the number of terms (variables in simultaneous equations) is small,
we consider the relation between the maximum order and computation time of the simultaneous equations for Hash values. As a result, it was found that 1) the pre-image attack succeeds when the input is limited (the first half and the second half are the
same, or the second half is all 0), 2) when the number of variables is small, the maximum order may not match the number of variables, and 3) when the pre-image exists, the attack time can be reduced by using only the first half of the Hash value to obtain the pre-image and then Hashing again to confirm that the second half matches the first half. 3) If the pre-image exists, it is possible to reduce the attack time by using only the first half of the Hash value to find the pre-image, and then Hash again toconfirm that the second half is the same.
Keyword (in Japanese) (See Japanese page) 
(in English) Keccak / pre-image resistance / capacity ratio / optimization solver / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 428, ISEC2022-110, pp. 398-403, March 2023.
Paper # ISEC2022-110 
Date of Issue 2023-03-07 (IT, ISEC, WBS, RCC) 
ISSN 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 IT2022-131 ISEC2022-110 WBS2022-128 RCC2022-128

Conference Information
Committee RCC ISEC IT WBS  
Conference Date 2023-03-14 - 2023-03-15 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2023-03-RCC-ISEC-IT-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Experiments on pre-image computation time in Keccak[r = 40, c = 160, nr = 2] 
Sub Title (in English)  
Keyword(1) Keccak  
Keyword(2) pre-image resistance  
Keyword(3) capacity ratio  
Keyword(4) optimization solver  
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1st Author's Name Xinyu Qi  
1st Author's Affiliation Kanagawa University (Kanagawa Univ)
2nd Author's Name Atsushi Fujioka  
2nd Author's Affiliation Kanagawa University (Kanagawa Univ)
3rd Author's Name Kazumaro Aoki  
3rd Author's Affiliation BUNKYO University (BUNKYO Univ)
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Speaker Author-1 
Date Time 2023-03-15 14:55:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # IT2022-131, ISEC2022-110, WBS2022-128, RCC2022-128 
Volume (vol) vol.122 
Number (no) no.427(IT), no.428(ISEC), no.429(WBS), no.430(RCC) 
Page pp.398-403 
#Pages 6 
Date of Issue 2023-03-07 (IT, ISEC, WBS, RCC) 

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