![]() I mean the setup of the RSA already defines me p,q,d,c and so I don't have a system of congruences.Īctually, all the additional parameters $d_p, d_q, qinv$ are easily computed during key generation time, and so that's what we usually do.Īssume $\log d = \log n=B$ and $\log p = \log q = B/2$ and $d,d_p,d_q$ have equally many 0s and 1s. Most of the time, this is a worthwhile tradeoff. Whenever you want somewhat more efficiency (4x), and don't mind a wee bit of extra complexity. Where do I use the CRT-algorithm (as it is written there)? ![]() ![]() ![]() That is, the only changes made to the RSA algorithm are done with how the private operation is done (and the format of the private keys) anyone doing only public operations need have no knowledge on what the private (signature generation or public key decryption) implementation is doing. There is an efficient variant of the RSA using the CRTĪctually, by the way we generally use terms, it is not a 'variant', instead it is an alternative implementation. ![]()
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