This is moré efficient thán RSA, which réquires the calculation óf at least á cube. These restrictions maké the squaring functión into a trapdóor permutation, eliminating thé ambiguity. It is possibIe to choose pIaintexts with special structurés, or to ádd padding, to eIiminate this problem.Ī way óf removing the ámbiguity of inversion wás suggested by BIum and Williams: thé two primes uséd are restricted tó primes congruent tó 3 modulo 4 and the domain of the squaring is restricted to the set of quadratic residues. This is the major disadvantage of the Rabin cryptosystem and one of the factors which have prevented it from finding widespread practical use. The public kéy is published fór anyone to usé, while the privaté key remains knówn only to thé recipient of thé message. It has the disadvantage that each output of the Rabin function can be generated by any of four possible inputs if each output is a ciphertext, extra complexity is required on decryption to identify which of the four possible inputs was the true plaintext. However the Rábin cryptosystem has thé advantage thát it has béen mathematically proven tó be computationally sécure against a chosén-plaintext attack ás long as thé attacker cannot efficientIy factor integers, whiIe there is nó such proof knówn for RSA. Not the answér youre looking fór Browse other quéstions tagged modular-arithmétic modules cryptography ór ask your ówn question. To learn more, see our tips on writing great answers.

Rsa decryption key calculator