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CHES
2005
Springer
83views Cryptology» more  CHES 2005»
15 years 3 months 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
AAECC
2008
Springer
83views Algorithms» more  AAECC 2008»
14 years 9 months ago
Fast separable factorization and applications
Abstract. In this paper we show that the separable decomposition of a univariate polynomial can be computed in softly optimal time, in terms of the number of arithmetic operations ...
Grégoire Lecerf
FOCS
2008
IEEE
15 years 4 months ago
Fast Modular Composition in any Characteristic
We give an algorithm for modular composition of degree n univariate polynomials over a finite field Fq requiring n1+o(1) log1+o(1) q bit operations; this had earlier been achiev...
Kiran S. Kedlaya, Christopher Umans
83
Voted
DAC
2011
ACM
13 years 9 months ago
Fast non-monte-carlo transient noise analysis for high-precision analog/RF circuits by stochastic orthogonal polynomials
Stochastic device noise has become a significant challenge for high-precision analog/RF circuits, and it is particularly difficult to correctly include both white noise and flic...
Fang Gong, Hao Yu, Lei He
ACMSE
2006
ACM
15 years 1 months ago
Achieving efficient polynomial multiplication in fermat fields using the fast Fourier transform
We introduce an efficient way of performing polynomial multiplication in a class of finite fields GF(pm ) in the frequency domain. The Fast Fourier Transform (FFT) based frequency...
Selçuk Baktir, Berk Sunar