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» Fast Integer Multiplication using Modular Arithmetic
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CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 7 months ago
Q-adic Transform revisited
We present an algorithm to perform a simultaneous modular reduction of several residues. This enables to compress polynomials into integers and perform several modular operations ...
Jean-Guillaume Dumas
ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Fast arithmetic for triangular sets: from theory to practice
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Xin Li, Marc Moreno Maza, Éric Schost
CRYPTO
1993
Springer
159views Cryptology» more  CRYPTO 1993»
13 years 11 months ago
Comparison of Three Modular Reduction Functions
Three modular reduction algorithms for large integers are compared with respect to their performance in portable software: the classical algorithm, Barrett’s algorithm and Montgo...
Antoon Bosselaers, René Govaerts, Joos Vand...
CAV
2008
Springer
170views Hardware» more  CAV 2008»
13 years 9 months ago
Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations
Abstract. The use of Craig interpolants has enabled the development of powerful hardware and software model checking techniques. Efficient algorithms are known for computing interp...
Himanshu Jain, Edmund M. Clarke, Orna Grumberg
MOC
1998
80views more  MOC 1998»
13 years 7 months ago
Fast evaluation of multiple zeta sums
We show that the multiple zeta sum: ζ(s1, s2, ..., sd) = n1>n2>...>nd 1 ns1 1 ns2 2 ...n sd d , for positive integers si with s1 > 1, can always be written as a finit...
Richard E. Crandall