Preimage Awareness in Linicrypt

Zahra Javar, B. Kapron
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Abstract

We extend the analysis of collision-resistant hash functions in the Linicrypt model presented by McQuoid, Swope & Rosulek (TCC 2019) in order to characterize preimage awareness, a security property defined by Dodis, Ristenpart & Shrimpton (Eurocrypt 2009), who also demonstrate its utility in the construction of indifferentiable hash functions. We present a simple and efficiently-checkable property of Linicrypt programs which characterizes preimage awareness. Finally, we show that this characterization may be efficiently automated and as an example, use it to enumerate all preimage-aware compression functions which use two calls to the random oracle. This includes several functions shown to be preimage aware by Dodis et. al. using hand-crafted proofs.
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Linicrypt中的预像感知
我们扩展了McQuoid, Swope和Rosulek (TCC 2019)提出的Linicrypt模型中抗碰撞哈希函数的分析,以表征预像感知,这是由Dodis, Ristenpart和Shrimpton (Eurocrypt 2009)定义的安全属性,他们还证明了其在构造不可微哈希函数中的效用。我们提出了Linicrypt程序的一个简单而有效的可检查属性,它具有预映像感知的特征。最后,我们展示了这种特征可以有效地自动化,并作为一个例子,使用它来枚举所有使用两次调用随机oracle的预图像感知压缩函数。这包括几个由Dodis等人使用手工制作的证明显示为预像感知的函数。
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