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» On LR(k)-Parsers of Polynomial Size
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ARITH
2007
IEEE
15 years 1 months ago
An Algorithm for Inversion in GF(2^m) Suitable for Implementation Using a Polynomial Multiply Instruction on GF(2)
An algorithm for inversion in GF(2m ) suitable for implementation using a polynomial multiply instruction on GF(2) is proposed. It is based on the extended Euclid's algorithm...
Katsuki Kobayashi, Naofumi Takagi, Kazuyoshi Takag...
EUROCRYPT
2011
Springer
14 years 1 months ago
Homomorphic Signatures for Polynomial Functions
We construct the first homomorphic signature scheme that is capable of evaluating multivariate polynomials on signed data. Given the public key and a signed data set, there is an...
Dan Boneh, David Mandell Freeman
AUTOMATICA
2011
14 years 1 months ago
A hierarchy of LMI inner approximations of the set of stable polynomials
Exploiting spectral properties of symmetric banded Toeplitz matrices, we describe simple sufficient conditions for positivity of a trigonometric polynomial formulated as linear ma...
Mustapha Ait Rami, Didier Henrion
ICCV
2011
IEEE
13 years 9 months ago
Optimizing Polynomial Solvers for Minimal Geometry Problems
In recent years polynomial solvers based on algebraic geometry techniques, and specifically the action matrix method, have become popular for solving minimal problems in computer...
Oleg Naroditsky, Kostas Daniilidis
ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
15 years 4 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan