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PDPTA
2003
13 years 9 months ago
Quaternary Arithmetic Logic Unit on a Programmable Logic Device
Common binary arithmetic operations such as addition/subtraction and multiplication suffer from O(n) carry propagation delay where n is the number of digits. Carry lookahead helps...
Songpol Ongwattanakul, Phaisit Chewputtanagul, Dav...
IPPS
2003
IEEE
14 years 28 days ago
Some Modular Adders and Multipliers for Field Programmable Gate Arrays
This paper is devoted to the study of number representations and algorithms leading to efficient implementations of modular adders and multipliers on recent Field Programmable Ar...
Jean-Luc Beuchat
FCCM
2007
IEEE
107views VLSI» more  FCCM 2007»
14 years 2 months ago
Optimizing Logarithmic Arithmetic on FPGAs
This paper proposes optimizations of the methods and parameters used in both mathematical approximation and hardware design for logarithmic number system (LNS) arithmetic. First, ...
Haohuan Fu, Oskar Mencer, Wayne Luk
ITCC
2005
IEEE
14 years 1 months ago
A Scalable Dual Mode Arithmetic Unit for Public Key Cryptosystems
Elliptic Curve Cryptosystems (ECC) have become popular in recent years due to their smaller key sizes than traditional public key schemes such as RSA. However the gap between the ...
Francis M. Crowe, Alan Daly, William P. Marnane
FOCM
2008
77views more  FOCM 2008»
13 years 7 months ago
Modular Counting of Rational Points over Finite Fields
Let Fq be the finite field of q elements, where q = ph. Let f(x) be a polynomial over Fq in n variables with m non-zero terms. Let N(f) denote the number of solutions of f(x) = 0 ...
Daqing Wan