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ICMS
2010
13 years 3 months ago
Efficient Evaluation of Large Polynomials
Abstract. Minimizing the evaluation cost of a polynomial expression is a fundamental problem in computer science. We propose tools that, for a polynomial P given as the sum of its ...
Charles E. Leiserson, Liyun Li, Marc Moreno Maza, ...
FSE
1997
Springer
246views Cryptology» more  FSE 1997»
13 years 9 months ago
Fast Message Authentication Using Efficient Polynomial Evaluation
Abstract. Message authentication codes (MACs) using polynomial evaluation have the advantage of requiring a very short key even for very large messages. We describe a low complexit...
Valentine Afanassiev, Christian Gehrmann, Ben J. M...
ACNS
2010
Springer
134views Cryptology» more  ACNS 2010»
13 years 6 months ago
Efficient and Secure Evaluation of Multivariate Polynomials and Applications
In this work, we design two-party and multiparty protocols for evaluating multivariate polynomials at participants' inputs with security against a malicious adversary who may ...
Matthew K. Franklin, Payman Mohassel
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 5 months ago
Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
CDB
2004
Springer
158views Database» more  CDB 2004»
13 years 9 months ago
Constraint Databases, Data Structures and Efficient Query Evaluation
Abstract. Constraint databases that can be described by boolean combinations of polynomial inequalities over the reals have received ample research attention. In particular, the ex...
Joos Heintz, Bart Kuijpers