The suffix-free-prefix-free hash function construction and its indifferentiability security analysis
Publication: Research - peer-review › Journal article – Annual report year: 2012
In this paper, we observe that in the seminal work on indifferentiability analysis of iterated hash functions by Coron et al. and in subsequent works, the initial value $$(IV)$$ of hash functions is fixed. In addition, these indifferentiability results do not depend on the Merkle–Damgård (MD) strengthening in the padding functionality of the hash functions. We propose a generic $$n$$-bit-iterated hash function framework based on an $$n$$-bit compression function called suffix-free-prefix-free (SFPF) that works for arbitrary $$IV$$s and does not possess MD strengthening. We formally prove that SFPF is indifferentiable from a random oracle (RO) when the compression function is viewed as a fixed input-length random oracle (FIL-RO). We show that some hash function constructions proposed in the literature fit in the SFPF framework while others that do not fit in this framework are not indifferentiable from a RO. We also show that the SFPF hash function framework with the provision of MD strengthening generalizes any $$n$$-bit-iterated hash function based on an $$n$$-bit compression function and with an $$n$$-bit chaining value that is proven indifferentiable from a RO.
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