Sciweavers

128 search results - page 12 / 26
» Fast Integer Multiplication using Modular Arithmetic
Sort
View
IPPS
1999
IEEE
13 years 11 months ago
FPGA Implementation of Modular Exponentiation
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...
Alexander Tiountchik, Elena Trichina
ITCC
2005
IEEE
14 years 29 days ago
Applications of The Montgomery Exponent
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...
Shay Gueron, Or Zuk
ACMSE
2006
ACM
13 years 11 months ago
Achieving efficient polynomial multiplication in fermat fields using the fast Fourier transform
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...
Selçuk Baktir, Berk Sunar
ISMVL
2008
IEEE
148views Hardware» more  ISMVL 2008»
14 years 1 months ago
Quantum Logic Implementation of Unary Arithmetic Operations
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...
SACRYPT
2004
Springer
113views Cryptology» more  SACRYPT 2004»
14 years 22 days ago
A Note on the Signed Sliding Window Integer Recoding and a Left-to-Right Analogue
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...
Roberto Maria Avanzi