Distinguishers on Double-Branch Compression Function and Applications to Round-Reduced RIPEMD-128 and RIPEMD-160


IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E97-A   No.1   pp.177-190
Publication Date: 2014/01/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Symmetric Key Based Cryptography
RIPEMD-128,  RIPEMD-160,  double-branch structure,  2-dimension sum,  q-multi-second-order collision,  

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This paper presents differential-based distinguishers against double-branch compression functions and applies them to ISO standard hash functions RIPEMD-128 and RIPEMD-160. A double-branch compression function computes two branch functions to update a chaining variable and then merges their outputs. For such a compression function, we observe that second-order differential paths will be constructed by finding a sub-path in each branch independently. This leads to 4-sum attacks on 47 steps (out of 64 steps) of RIPEMD-128 and 40 steps (out of 80 steps) of RIPEMD-160. Then new properties called a (partial) 2-dimension sum and a q-multi-second-order collision are considered. The partial 2-dimension sum is generated on 48 steps of RIPEMD-128 and 42 steps of RIPEMD-160, with complexities of 235 and 236, respectively. Theoretically, the 2-dimension sum is generated faster than the brute force attack up to 52 steps of RIPEMD-128 and 51 steps of RIPEMD-160, with complexities of 2101 and 2158, respectively. The results on RIPEMD-128 can also be viewed as q-multi-second-order collision attacks. The practical attacks have been implemented and examples are presented. We stress that our results do not impact to the security of full RIPEMD-128 and RIPEMD-160 hash functions.