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Paper Abstract and Keywords
Presentation 2023-07-25 10:20
On the Maximum Differential Characteristic Probabilities for Multi-Branch Structures
Kazuma Taka (Hyogo Univ.), Kosei Sakamoto (Mitsubishi Electric), Takanori Isobe (Hyogo Univ.) ISEC2023-48 SITE2023-42 BioX2023-51 HWS2023-48 ICSS2023-45 EMM2023-48
Abstract (in Japanese) (See Japanese page) 
(in English) The design of multiple-branch-based designs, such as the low-latency pseudo-random function Orthros, holds the potential for strong clustering effects against differential attacks due to their large internal state. Therefore, it is of utmost importance to investigate the impact of the clustering effects on such multiple-branch-based designs. In this paper, we conduct a evaluation of the pseudo-random function Orthros by employing a more efficient evaluation strategy for the clustering effect, as presented by Taka et al., regarding pseudo-random functions with multiple-branch-based designs. Additionally, we evaluate the differential clustering of a three-branch pseudo-random function, which consists of three keyed permutations with similar properties to the keyed permutations used internally in Orthros. This evaluation allows us to examine the influence of the number of branches on the security boundary against differential attacks. As a result, our evaluation of Orthros demonstrates that differential clustering effects do not occur in rounds 1 to 5, but the differential characteristic probability improves in the 6th round to 2−88.63. Regarding a new branch, we present the maximum differential characteristic probability for rounds 1 to 10, thereby revealing the susceptibility to distinguishing attacks in 9 rounds. Furthermore, for Orthros in the three-branch-based designs, we present the maximum differential characteristic probability and the results based on the clustering effects for rounds 1 to 6, indicating the feasibility of a distinguishing attack in 5 rounds.
Keyword (in Japanese) (See Japanese page) 
(in English) Low-latency cipher / SAT solver / differential cryptanalysis / / / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 129, ISEC2023-48, pp. 221-228, July 2023.
Paper # ISEC2023-48 
Date of Issue 2023-07-17 (ISEC, SITE, BioX, HWS, ICSS, EMM) 
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)
Download PDF ISEC2023-48 SITE2023-42 BioX2023-51 HWS2023-48 ICSS2023-45 EMM2023-48

Conference Information
Committee EMM BioX ISEC SITE ICSS HWS IPSJ-CSEC IPSJ-SPT 
Conference Date 2023-07-24 - 2023-07-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Hokkaido Jichiro Kaikan 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2023-07-EMM-BioX-ISEC-SITE-ICSS-HWS-CSEC-SPT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On the Maximum Differential Characteristic Probabilities for Multi-Branch Structures 
Sub Title (in English)  
Keyword(1) Low-latency cipher  
Keyword(2) SAT solver  
Keyword(3) differential cryptanalysis  
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1st Author's Name Kazuma Taka  
1st Author's Affiliation University of Hyogo (Hyogo Univ.)
2nd Author's Name Kosei Sakamoto  
2nd Author's Affiliation MITSUBISHI ELECTRIC Corporation (Mitsubishi Electric)
3rd Author's Name Takanori Isobe  
3rd Author's Affiliation University of Hyogo (Hyogo Univ.)
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Speaker Author-1 
Date Time 2023-07-25 10:20:00 
Presentation Time 20 minutes 
Registration for ISEC 
Paper # ISEC2023-48, SITE2023-42, BioX2023-51, HWS2023-48, ICSS2023-45, EMM2023-48 
Volume (vol) vol.123 
Number (no) no.129(ISEC), no.130(SITE), no.131(BioX), no.132(HWS), no.133(ICSS), no.134(EMM) 
Page pp.221-228 
#Pages
Date of Issue 2023-07-17 (ISEC, SITE, BioX, HWS, ICSS, EMM) 


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