ARITH
2007
IEEE
13 years 9 months ago
2007
IEEE
An algorithm for inversion in GF(2m ) suitable for implementation using a polynomial multiply instruction on GF(2) is proposed. It is based on the extended Euclid's algorithm...
ARITH
2007
IEEE
13 years 9 months ago
2007
IEEE
The study of specific hardware circuits for the evaluation of floating-point elementary functions was once an active research area, until it was realized that these functions were...
ARITH
2007
IEEE
13 years 9 months ago
2007
IEEE
The IEEE Standard 754-1985 for Binary Floating-Point Arithmetic [1] was revised [2], and an important addition is the definition of decimal floating-point arithmetic. This is inte...
ARITH
2007
IEEE
13 years 9 months ago
2007
IEEE
We address the problem of computing a good floating-point-coefficient polynomial approximation to a function, with respect to the supremum norm. This is a key step in most process...
ARITH
2007
IEEE
13 years 9 months ago
2007
IEEE
In this paper we explore the relationship between adder topology and energy efficiency. We compare the energy-delay tradeoff curves of selected 32-bit adder topologies, to determi...
ARITH
2007
IEEE
13 years 11 months ago
2007
IEEE
Most implementations of the modular exponentiation, ME mod N, computation in cryptographic algorithms employ Montgomery multiplication, ABR−1 mod N, instead of modular multiplic...
ARITH
2007
IEEE
13 years 11 months ago
2007
IEEE
ARITH
2007
IEEE
13 years 11 months ago
2007
IEEE
We describe a new method to perform the modular exponentiation operation, i.e., the computation of c = me mod n, where c, m, e and n are large integers. The new method uses the di...
ARITH
2007
IEEE
13 years 11 months ago
2007
IEEE
The compensated Horner algorithm improves the accuracy of polynomial evaluation in IEEE-754 floating point arithmetic: the computed result is as accurate as if it was computed wi...
ARITH
2007
IEEE
13 years 11 months ago
2007
IEEE
Abstract— Floating-point arithmetic is notoriously nonassociative due to the limited precision representation which demands intermediate values be rounded to fit in the availabl...