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Full Domain Hash : ウィキペディア英語版
Full Domain Hash
In cryptography, the Full Domain Hash (FDH) is an RSA-based signature scheme that follows the ''hash-and-sign'' paradigm. It is provably secure (i.e., is existentially unforgeable under adaptive chosen-message attacks) in the random oracle model. FDH involves hashing a message using a function whose image size equals the size of the RSA modulus, and then raising the result to the secret RSA exponent.
==Exact security of full domain hash==
In the random oracle model, if RSA is (t',\epsilon')-secure, then the full domain hash RSA signature scheme is (t,\epsilon)-secure where, t=t'-(q_+q_+1) \cdot \mathcal(k^3) and
\epsilon = \left(1+\frac+1} \cdot q_ \cdot \epsilon'.
For large q_ this boils down to \epsilon \sim exp(1)\cdot q_ \cdot \epsilon'.
This means that if there exists an algorithm that can forge a new FDH signature that runs in time ''t'', computes at most q_ hashes, asks for at most q_ signatures and succeeds with probability \epsilon, then there must also exist an algorithm that breaks RSA with probability \epsilon' in time t'.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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