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ASIACRYPT
2010
Springer
13 years 5 months ago
Constant-Size Commitments to Polynomials and Their Applications
We introduce and formally define polynomial commitment schemes, and provide two efficient constructions. A polynomial commitment scheme allows a committer to commit to a polynomial...
Aniket Kate, Gregory M. Zaverucha, Ian Goldberg
FOCS
2004
IEEE
13 years 11 months ago
Testing Low-Degree Polynomials over Prime Fields
We present an efficient randomized algorithm to test if a given function f : Fn p Fp (where p is a prime) is a low-degree polynomial. This gives a local test for Generalized Reed...
Charanjit S. Jutla, Anindya C. Patthak, Atri Rudra...
CORR
2010
Springer
54views Education» more  CORR 2010»
13 years 7 months ago
Polynomial integration on regions defined by a triangle and a conic
We present an efficient solution to the following problem, of relevance in a numerical optimization scheme: calculation of integrals of the type ZZ T {f0} 12 dx dy for quadratic p...
David Sevilla, Daniel Wachsmuth
CORR
2008
Springer
57views Education» more  CORR 2008»
13 years 7 months ago
Fast Conversion Algorithms for Orthogonal Polynomials
We discuss efficient conversion algorithms for orthogonal polynomials. We describe a known conversion algorithm from an arbitrary orthogonal basis to the monomial basis, and deduc...
Alin Bostan, Bruno Salvy, Éric Schost
FCSC
2008
87views more  FCSC 2008»
13 years 7 months ago
On the verification of polynomial system solvers
Abstract. We discuss the verification of mathematical software solving polynomial systems symbolically by way of triangular decomposition. Standard verification techniques are high...
Changbo Chen, Marc Moreno Maza, Wei Pan, Yuzhen Xi...