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» On the Degree of Univariate Polynomials Over the Integers
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COLT
2000
Springer
13 years 9 months ago
Average-Case Complexity of Learning Polynomials
The present paper deals with the averagecase complexity of various algorithms for learning univariate polynomials. For this purpose an appropriate framework is introduced. Based o...
Frank Stephan, Thomas Zeugmann
WEA
2009
Springer
104views Algorithms» more  WEA 2009»
14 years 1 days ago
Univariate Algebraic Kernel and Application to Arrangements
We present a cgal-based univariate algebraic kernel, which provides certied real-root isolation of univariate polynomials with integer coecients and standard functionalities such...
Sylvain Lazard, Luis Mariano Peñaranda, Eli...
EUROCRYPT
2005
Springer
13 years 10 months ago
A Tool Kit for Finding Small Roots of Bivariate Polynomials over the Integers
We present a new and flexible formulation of Coppersmith’s method for finding small solutions of bivariate polynomials p(x, y) over the integers. Our approach allows to maximiz...
Johannes Blömer, Alexander May
STACS
2010
Springer
14 years 7 days ago
Efficient and Error-Correcting Data Structures for Membership and Polynomial Evaluation
We construct efficient data structures that are resilient against a constant fraction of adversarial noise. Our model requires that the decoder answers most queries correctly with...
Victor Chen, Elena Grigorescu, Ronald de Wolf
FOCS
2008
IEEE
13 years 11 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