Second-Order Differential Collisions for Reduced SHA-256

Autor: Alex Biryukov, Mario Lamberger, Ivica Nikoli, Florian Mendel
Rok vydání: 2011
Předmět:
Zdroj: Lecture Notes in Computer Science ISBN: 9783642253843
ASIACRYPT
17th International Conference on the Theory and Application of Cryptology and Information Security (pp. 270-287). Springer (2011).
DOI: 10.1007/978-3-642-25385-0_15
Popis: In this work, we introduce a new non-random property for hash/compression functions using the theory of higher order differentials. Based on this, we show a second-order differential collision for the compression function of SHA-256 reduced to 47 out of 64 steps with practical complexity. We have implemented the attack and provide an example. Our results suggest that the security margin of SHA-256 is much lower than the security margin of most of the SHA-3 finalists in this setting. The techniques employed in this attack are based on a rectangle/boomerang approach and cover advanced search algorithms for good characteristics and message modification techniques. Our analysis also exposes flaws in all of the previously published related-key rectangle attacks on the SHACAL-2 block cipher, which is based on SHA-256. We provide valid rectangles for 48 steps of SHACAL-2.
Databáze: OpenAIRE