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AFRICACRYPT
2009
Springer
13 years 2 months ago
Efficient Acceleration of Asymmetric Cryptography on Graphics Hardware
Graphics processing units (GPU) are increasingly being used for general purpose computing. We present implementations of large integer modular exponentiation, the core of public-ke...
Owen Harrison, John Waldron
TC
2002
13 years 4 months ago
A Number System with Continuous Valued Digits and Modulo Arithmetic
This paper presents a novel number system based on signed continuous valued digits. Arithmetic operations in this number system are performed using simple analog circuitry, in con...
Aryan Saed, Majid Ahmadi, Graham A. Jullien
TC
2008
13 years 4 months ago
Automatic Generation of Modular Multipliers for FPGA Applications
Since redundant number systems allow for constant time addition, they are often at the heart of modular multipliers designed for public key cryptography (PKC) applications. Indeed,...
Jean-Luc Beuchat, Jean-Michel Muller
FUN
2010
Springer
219views Algorithms» more  FUN 2010»
13 years 8 months ago
The Magic of a Number System
We introduce a new number system that supports increments with a constant number of digit changes. We also give a simple method that extends any number system supporting increments...
Amr Elmasry, Claus Jensen, Jyrki Katajainen
ARITH
2001
IEEE
13 years 8 months ago
The Use of the Multi-Dimensional Logarithmic Number System in DSP Applications
A recently introduced double-base number representation has proved to be successful in optimizing the performance of several algorithms in cryptography and digital signal processi...
Vassil S. Dimitrov, Jonathan Eskritt, Laurent Imbe...
ISCAS
1994
IEEE
92views Hardware» more  ISCAS 1994»
13 years 8 months ago
A Study on the Stochastic Computation Using the Ratio of One Pulses and Zero Pulses
Stochastic computation uses pulse streams to represent numbers. In this paper, we have studied the novel method to implement the number system which uses the ratio of the number o...
Seung-Jai Min, Eel-Wan Lee, Soo-Ik Chae
ARITH
1999
IEEE
13 years 8 months ago
Arithmetic with Signed Analog Digits
This paper presents mathematical foundtions of the Overlap Resolution Number System (ORNS) which employs signed Continuous Valued Digits (CVD's). ORNS is a redundant Number S...
Aryan Saed, Majid Ahmadi, Graham A. Jullien
ISCAS
2007
IEEE
96views Hardware» more  ISCAS 2007»
13 years 10 months ago
Novel High-Speed Redundant Binary to Binary converter using Prefix Networks
— Fast addition and multiplication are of paramount importance in many arithmetic circuits and processors. The use of redundant number system for efficient implementation of thes...
Sreehari Veeramachaneni, Kirthi M. Krishna, Lingam...