A Meet-in-the-Middle Attack on Reduced-Round Kalyna-b/2b

Riham ALTAWY  Ahmed ABDELKHALEK  Amr M. YOUSSEF  

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E99-D   No.4   pp.1246-1250
Publication Date: 2016/04/01
Online ISSN: 1745-1361
DOI: 10.1587/transinf.2015EDL8174
Type of Manuscript: LETTER
Category: Information Network
Keyword: 
Kalyna,  cryptanalysis,  meet-in-the-middle attacks,  differential enumeration,  DSTU 7624:2014,  

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Summary: 
In this letter, we present a meet-in-the-middle attack on the 7-round reduced block cipher Kalyna-b/2b, which has been approved as the new encryption standard of Ukraine (DSTU 7624:2014) in 2015. According to its designers, the cipher provides strength to several cryptanalytic methods after the fifth and sixth rounds of the versions with block length of 128 and 256 bits, respectively. Our attack is based on the differential enumeration approach, where we carefully deploy a four-round distinguisher in the first four rounds to bypass the effect of the carry bits resulting from the prewhitening modular key addition. We also exploit the linear relation between consecutive odd and even indexed round keys, which enables us to attack seven rounds and recover all the round keys incrementally. The attack on Kalyna with 128-bit block has a data complexity of 289 chosen plaintexts, time complexity of 2230.2 and a memory complexity of 2202.64. The data, time and memory complexities of our attack on Kalyna with 256-bit block are 2233, 2502.2 and 2170, respectively.