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Novel algorithms and hardware architectures for Montgomery Multiplication over GF(p)
Montgomery algorithm Digit-based Multiplier FPGA
2015/12/25
This report describes the design and implementation results in FPGAs of a scalable hardware architecture for computing modular multiplication in prime fields GF(p), based on the Montgomery multiplicat...
In this paper we present a parallel approach to compute interleaved Montgomery multiplication. This approach is particularly suitable to be computed on 2-way single instruction, multiple data platform...
Parallel Montgomery Multiplication in GF(2k) using Trinomial Residue Arithmetic
Finite field arithmetic Montgomery multiplication Polynomial residue arithmetic
2009/3/31
We propose the first general multiplication algorithm in GF(2k) with a subquadratic area
complexity of O(k8/5) = O(k1.6). Using the Chinese Remainder Theorem, we represent the
elements of GF(2k); i....
An Optimized Hardware Architecture of Montgomery Multiplication Algorithm
Montgomery Multiplication MWR2MM Algorithm Field Programmable Gate Arrays
2008/8/21
Montgomery multiplication is one of the fundamental op-
erations used in cryptographic algorithms, such as RSA and Elliptic
Curve Cryptosystems. At CHES 1999, Tenca and Ko»c introduced a now-
...