From Collisions to Chosen-Prefix Collisions - Application to Full SHA-1
From Collisions to Chosen-Prefix Collisions - Application to Full SHA-1
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DOI:
10.1007/978-3-030-17659-4_18
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发表时间:
2019-05
期刊:
影响因子:
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通讯作者:
G. Leurent;Thomas Peyrin
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文献类型:
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作者:
G. Leurent;Thomas Peyrin
A chosen-prefix collision attack is a stronger variant of a collision attack, where an arbitrary pair of challenge prefixes are turned into a collision. Chosen-prefix collisions are usually significantly harder to produce than (identical-prefix) collisions, but the practical impact of such an attack is much larger. While many cryptographic constructions rely on collision-resistance for their security proofs, collision attacks are hard to turn into break of concrete protocols, because the adversary has a limited control over the colliding messages. On the other hand, chosen-prefix collisions have been shown to break certificates (by creating a rogue CA) and many internet protocols (TLS, SSH, IPsec).In this article, we propose new techniques to turn collision attacks into chosen-prefix collision attacks. Our strategy is composed of two phases: first a birthday search that aims at taking the random chaining variable difference (due to the chosen-prefix model) to a set of pre-defined target differences. Then, using a multi-block approach, carefully analysing the clustering effect, we map this new chaining variable difference to a colliding pair of states using techniques developed for collision attacks.We apply those techniques toMD5andSHA-1, and obtain improved attacks. In particular, we have a chosen-prefix collision attack againstSHA-1with complexity betweenand(depending on assumptions about the cost of finding near-collision blocks), while the best-known attack has complexity. This is within a small factor of the complexity of the classical collision attack onSHA-1(estimated as). This represents yet another warning that industries and users have to move away from usingSHA-1as soon as possible.