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» Parallel sparse polynomial interpolation over finite fields
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STOC
2007
ACM
133views Algorithms» more  STOC 2007»
14 years 4 months ago
Interpolation of depth-3 arithmetic circuits with two multiplication gates
In this paper we consider the problem of constructing a small arithmetic circuit for a polynomial for which we have oracle access. Our focus is on n-variate polynomials, over a fi...
Amir Shpilka
ALGORITHMICA
1999
123views more  ALGORITHMICA 1999»
13 years 4 months ago
Distributed Matrix-Free Solution of Large Sparse Linear Systems over Finite Fields
We describe a coarse-grain parallel software system for the homogeneous solution of linear systems. Our solutions are symbolic, i.e., exact rather than numerical approximations. O...
Erich Kaltofen, A. Lobo
ICISC
2000
126views Cryptology» more  ICISC 2000»
13 years 5 months ago
Cryptographic Applications of Sparse Polynomials over Finite Rings
Abstract. This paper gives new examples that exploit the idea of using sparse polynomials with restricted coefficients over a finite ring for designing fast, reliable cryptosystems...
William D. Banks, Daniel Lieman, Igor Shparlinski,...
ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
13 years 11 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
PKC
2000
Springer
118views Cryptology» more  PKC 2000»
13 years 8 months ago
An Identification Scheme Based on Sparse Polynomials
This paper gives a new example of exploiting the idea of using polynomials with restricted coefficients over finite fields and rings to construct reliable cryptosystems and identif...
William D. Banks, Daniel Lieman, Igor Shparlinski