Strong RSA assumption
In cryptography, the strong RSA assumption states that the RSA problem is intractable even when the solver is allowed to choose the public exponent e. More specifically, given a modulus N of unknown factorization, and a ciphertext C, it is infeasible to find any pair such that C ≡ M e mod N.
The strong RSA assumption was first used for constructing signature schemes provably secure against existential forgery without resorting to the random oracle model.