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Particularly that collision resistance implies second preimage resistance, which in turn also implies preimage resistance.
The reductions are something along the lines of this:
col(): x <- rand(), x' <- second_pre(x)
second_pre(x): y <- H(x), do x' <- pre(y) until x' != x
It's actually a bit more complicated when looking at the details, I can recommend reading "Cryptographic Hash-Function Basics: Definitions, Implications, and Separations for Preimage Resistance, Second-Preimage Resistance, and Collision Resistance" by Rogaway and Shrimpton. They cover the details very nicely.
The text was updated successfully, but these errors were encountered:
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Particularly that collision resistance implies second preimage resistance, which in turn also implies preimage resistance.
The reductions are something along the lines of this:
col(): x <- rand(), x' <- second_pre(x)
second_pre(x): y <- H(x), do x' <- pre(y) until x' != x
It's actually a bit more complicated when looking at the details, I can recommend reading "Cryptographic Hash-Function Basics: Definitions, Implications, and Separations for Preimage Resistance, Second-Preimage Resistance, and Collision Resistance" by Rogaway and Shrimpton. They cover the details very nicely.
The text was updated successfully, but these errors were encountered: