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The answer is not easy, however, a good starting point is Florent Chabaud and Antoine Joux's paper on SHA-0 and SHA-1 Differential Collisions in SHA-0, Crypto 1998. Simple Introduction In, MD4, SHA-0,SHA-1, and SHA-2 there is a compression function. $$C:\{0,1\}^\ell \to :\{0,1\}^n$$ where $n$ is the output size and $\ell$ is the block lenght to process. ...


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There's really very little that can be done in this sort of situation. The noise is only parameterised by $\Delta f/\epsilon$ where $\Delta f$ precisely represents how much the function changes when such an outlier is added or removed from a queried set and $\epsilon$ precisely quantifies how hard it is for an adversary to detect a change. Your options are ...


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This will depend on the key schedule of the design, but they are usually relatively simple expansion algorithms. In particular the initial round keys are often the actual bits of the cryptovariable and so recovering the initial round key recovers the first bits of cryptovariable (additional bits of cryptovariable can then be guessed exhaustively with less ...


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