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» Fast Integer Multiplication using Modular Arithmetic
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TIT
2008
74views more  TIT 2008»
13 years 7 months ago
Modular Representations of Polynomials: Hyperdense Coding and Fast Matrix Multiplication
A certain modular representation of multilinear polynomials is considered. The modulo 6 representation of polynomial f is just any polynomial f + 6g. The 1-a-strong representation ...
Vince Grolmusz
CODES
2005
IEEE
14 years 1 months ago
High-level synthesis for large bit-width multipliers on FPGAs: a case study
In this paper, we present the analysis, design and implementation of an estimator to realize large bit width unsigned integer multiplier units. Larger multiplier units are require...
Gang Quan, James P. Davis, Siddhaveerasharan Devar...
PKC
1998
Springer
123views Cryptology» more  PKC 1998»
13 years 11 months ago
Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho ...
ESA
2004
Springer
98views Algorithms» more  ESA 2004»
14 years 23 days ago
Fast Sparse Matrix Multiplication
Let A and B two n × n matrices over a ring R (e.g., the reals or the integers) each containing at most m non-zero elements. We present a new algorithm that multiplies A and B usi...
Raphael Yuster, Uri Zwick
ARITH
2005
IEEE
14 years 1 months ago
Fast Modular Reduction for Large Wordlengths via One Linear and One Cyclic Convolution
Abstract— Modular reduction is a fundamental operation in cryptographic systems. Most well known modular reduction methods including Barrett’s and Montgomery’s algorithms lev...
Dhananjay S. Phatak, Tom Goff