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Moreover, this analysis is true even if the modulo n is changed to n k. To break the proposed n-adic RSA-type cryptosystem, an 378 attacker would have to find the polynomial P(t) and the value t = b, which have the relation C P(b) --_ 1 (mod nk). By decomposing of the ...
A very important public-key cryptosystem, the RSA cryptosystem, was proposed by Rivest, Shamir, and Adleman in 1978. As it offers a high level of security and can also be used for digital signature purposes, it has been the subject of active research. Although it has many excellent features...
Applying this method to the RSA cryptosystem, it becomes possible to implement the cryptosystem with a reduced public-key size. User interface is both simple and secure. It is necessary to consider the tradeoff between a practical cryptosystem and a secure cryptosystem. It is even possible to ...
The number of iterations for the Montgomery Inversion Algorithm based on BEEA was 2n (where n is the bit length of modulo p) which is less than for the Montgomery Inversion Algorithm using Kaliski’s method (2n + 1). Furthermore, to speed up (upper-bounded by 2) computation in the ...