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» Fast Integer Multiplication using Modular Arithmetic
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CAV
2006
Springer
105views Hardware» more  CAV 2006»
13 years 11 months ago
FAST Extended Release
Fast is a tool designed for the analysis of counter systems, i.e. automata extended with unbounded integer variables. Despite the reachability set is not recursive in general, Fast...
Sébastien Bardin, Jérôme Lerou...
FDTC
2006
Springer
102views Cryptology» more  FDTC 2006»
13 years 11 months ago
Non-linear Residue Codes for Robust Public-Key Arithmetic
We present a scheme for robust multi-precision arithmetic over the positive integers, protected by a novel family of non-linear arithmetic residue codes. These codes have a very hi...
Gunnar Gaubatz, Berk Sunar, Mark G. Karpovsky
SODA
2012
ACM
235views Algorithms» more  SODA 2012»
11 years 9 months ago
Fast zeta transforms for lattices with few irreducibles
We investigate fast algorithms for changing between the standard basis and an orthogonal basis of idempotents for M¨obius algebras of finite lattices. We show that every lattice...
Andreas Björklund, Mikko Koivisto, Thore Husf...
GLVLSI
2011
IEEE
351views VLSI» more  GLVLSI 2011»
12 years 11 months ago
Design of low-power multiple constant multiplications using low-complexity minimum depth operations
Existing optimization algorithms for the multiplierless realization of multiple constant multiplications (MCM) typically target the minimization of the number of addition and subt...
Levent Aksoy, Eduardo Costa, Paulo F. Flores, Jos&...
CHES
2005
Springer
83views Cryptology» more  CHES 2005»
14 years 27 days ago
Fast Truncated Multiplication for Cryptographic Applications
The Truncated Multiplication computes a truncated product, a contiguous subsequence of the digits of the product of 2 integers. A few truncated polynomial multiplication algorithms...
Laszlo Hars