[Resource Topic] 2009/034: On a Conditional Collision Attack on NaSHA-512

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Title:
On a Conditional Collision Attack on NaSHA-512

Authors: S. Markovski, A. Mileva, V. Dimitrova, D. Gligoroski

Abstract:

A collision attack on NaSHA-512 was proposed by L. Ji et al. The claimed complexity of the attack is 2^{192}. The proposed attack is realized by using a suitable differential pattern. In this note we show that the correct result that can be inferred from their differential pattern is in fact a conditional one. It can be stated correctly as follows: A collision attack on NaSHA-512 of complexity k=1,2,\dots,2^{320} can be performed with an unknown probability of success p_k, where 0\le p_1\le p_2\le p_{2^{320}}\le 1. Consequently, the attack proposed by L. Ji et al. can be considered only as a direction how a possible collision attack on NaSHA-512 could be realized. The birthday attack remains the best possible attack on NaSHA-512.

ePrint: https://eprint.iacr.org/2009/034

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