The efficiency of the Public Key encryption systems like RSA and ECC can be improved with the adoption of a faster multiplication scheme. In this paper, Modified Montgomery multip...
The Montgomery multiplication is commonly used as the core algorithm for cryptosystems based on modular arithmetic. With the advent of new classes of attacks (timing attacks, power...
—Parallel programming techniques have become one of the great challenges in the transition from single-core to multicore architectures. In this paper, we investigate the parallel...
The Montgomery multiplication is often used for an efficient implementations of public-key cryptosystems. This algorithm occasionally needs an extra subtraction in the final step,...
We define here the Montgomery Exponent of order s, modulo the odd integer N, by MEXP = MEXP(A, X, N, s) = AX 2−s(X−1) (mod N), and illustrate some properties and usage of thi...
Most implementations of the modular exponentiation, ME mod N, computation in cryptographic algorithms employ Montgomery multiplication, ABR−1 mod N, instead of modular multiplic...