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Copyright of Journal of Cryptologic Research (2097-4116) is the property of Editorial Board of Journal of Cryptologic Research and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Firstly,based on three subsets division property propagation technique,the propagation function of the K-set and L-set of ARX block ciphers was constructed respectively.All vectors in L-set affected the propagation of K-set when propagate through xored round key operation.With SAT/SMT solver,round reduced integral propagation functions of ARX block ciphers could be established.Finally,by exhausting all possible input integral characteristics with proper data complexity,round reduced integral distinguishers of ARX block ciphers could be found.The proposed method can be used for searching integral distinguishers of ARX block ciphers including SIMON-like family block ciphers,HIGHT,SPECK family block ciphers and LEA effectively.

How to compute the differential of modular addition efficiently is critical to automatic search for differential characteristic in ARX ciphers.To solve this problem,firstly,the concept of collerated difference distribution table (CDDT) was proposed.By looking up the CDDT,it was very efficient to compute the differential probability of modular addition.Secondly,extending Matsui’s algorithm to ARX cihpers and using CDDT,an automatic search algorithm was proposed,and the algorithm could give the differential characteristic with highest probability in ARX ciphers.Finally,the proposed algorithm was applied to the ARX cipher SPECK,and got the best differential characteristics for SPECK32,SPECK48 and SPECK64.

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