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Paper Abstract and Keywords
Presentation 2020-03-11 09:55
Toward Differential Characteristic Search of AES by Annealing
Haruka Hirano, Shugo Kakimoto, Kazuki Yoneyama (Ibaraki Univ.), Junpei Yamaguchi (Fujitsu Lab.) IT2019-109 ISEC2019-105 WBS2019-58
Abstract (in Japanese) (See Japanese page) 
(in English) At Inscypt 2011, Mouha et al. firstly proposed an application of mixed-integer linear programming (MILP) to cryptanalysis of symmetric key cryptosystems by showing the lower bound of the number of active S-boxes for differential/linear characteristic search. Recently, MILP is used to evaluate security of various symmetric key cryptosystems. However, though MILP is useful to obtain an optimal solution for the modeling, it is not easy to generally obtain multiple solutions when there are multiple ones. In this paper, we formulate the modeling of Mouha et al. to obtain the lower bound of the number of active S-boxes by using annealing. Annealing is a method to obtain optimal solutions by executing probabilistic iterations, and can derive multiple solutions without changing the formulation of the function. We give the modeling of 2-rounds AES as a Hamiltonian, and try to find the lower bound of the number of active S-boxes. As a result, we obtain three distinct solutions achieving the known lower bound.
Keyword (in Japanese) (See Japanese page) 
(in English) annealing / AES / differential characteristics / knapsack problem / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 474, ISEC2019-105, pp. 127-133, March 2020.
Paper # ISEC2019-105 
Date of Issue 2020-03-03 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Conference Information
Committee ISEC IT WBS  
Conference Date 2020-03-10 - 2020-03-11 
Place (in Japanese) (See Japanese page) 
Place (in English) University of Hyogo 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To ISEC 
Conference Code 2020-03-ISEC-IT-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Toward Differential Characteristic Search of AES by Annealing 
Sub Title (in English)  
Keyword(1) annealing  
Keyword(2) AES  
Keyword(3) differential characteristics  
Keyword(4) knapsack problem  
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1st Author's Name Haruka Hirano  
1st Author's Affiliation Ibaraki University (Ibaraki Univ.)
2nd Author's Name Shugo Kakimoto  
2nd Author's Affiliation Ibaraki University (Ibaraki Univ.)
3rd Author's Name Kazuki Yoneyama  
3rd Author's Affiliation Ibaraki University (Ibaraki Univ.)
4th Author's Name Junpei Yamaguchi  
4th Author's Affiliation Fujitsu Laboratories (Fujitsu Lab.)
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Speaker
Date Time 2020-03-11 09:55:00 
Presentation Time 25 
Registration for ISEC 
Paper # IEICE-IT2019-109,IEICE-ISEC2019-105,IEICE-WBS2019-58 
Volume (vol) IEICE-119 
Number (no) no.473(IT), no.474(ISEC), no.475(WBS) 
Page pp.127-133 
#Pages IEICE-7 
Date of Issue IEICE-IT-2020-03-03,IEICE-ISEC-2020-03-03,IEICE-WBS-2020-03-03 


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