An e cient implementations of the main building block in the RSA cryptographic scheme is achieved by mapping a bit-level systolic array for modular exponentiation onto Xilinx FPGAs...
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...
We introduce an efficient way of performing polynomial multiplication in a class of finite fields GF(pm ) in the frequency domain. The Fast Fourier Transform (FFT) based frequency...
The mathematical property of inheritance for certain unary fixed point operations has recently been exploited to enable the efficient formulation of arithmetic algorithms and circ...
Mitchell A. Thornton, David W. Matula, Laura Spenn...
Addition-subtraction-chains obtained from signed digit recodings of integers are a common tool for computing multiples of random elements of a group where the computation of invers...