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» Complexity of Polynomial Multiplication over Finite Fields
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AMAI
2006
Springer
13 years 7 months ago
Bargaining over multiple issues in finite horizon alternating-offers protocol
In this paper we study multi issue alternating-offers bargaining in a perfect information finite horizon setting, we determine the pertinent subgame perfect equilibrium, and we pro...
Francesco Di Giunta, Nicola Gatti
MOC
2002
85views more  MOC 2002»
13 years 7 months ago
Hensel lifting and bivariate polynomial factorisation over finite fields
This paper presents an average time analysis of a Hensel lifting based factorisation algorithm for bivariate polynomials over finite fields. It is shown that the average running ti...
Shuhong Gao, Alan G. B. Lauder
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
13 years 11 months ago
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
Erich Kaltofen, Victor Shoup
FOCS
2007
IEEE
14 years 1 months ago
Hardness of Reconstructing Multivariate Polynomials over Finite Fields
We study the polynomial reconstruction problem for low-degree multivariate polynomials over finite field F[2]. In this problem, we are given a set of points x ∈ {0, 1}n and ta...
Parikshit Gopalan, Subhash Khot, Rishi Saket
FFA
2010
84views more  FFA 2010»
13 years 5 months ago
Generating series for irreducible polynomials over finite fields
We count the number of irreducible polynomials in several variables of a given degree over a finite field. The results are expressed in terms of a generating series, an exact for...
Arnaud Bodin