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MST
2010
105views more  MST 2010»
13 years 6 months ago
On the Automatizability of Polynomial Calculus
Abstract We prove that Polynomial Calculus and Polynomial Calculus with Resolution are not automatizable, unless W[P]-hard problems are fixed parameter tractable by one-side error...
Nicola Galesi, Massimo Lauria
TCOM
2008
138views more  TCOM 2008»
13 years 7 months ago
Determination of the Best CRC Codes with up to 10-Bit Redundancy
All binary polynomials of degree up to 10 which are suitable to be used as generator polynomials of CRC codes are classified and all the necessary data for the evaluation of the e...
Tsonka Stefanova Baicheva
SAC
2010
ACM
14 years 2 months ago
Polytope-based computation of polynomial ranges
Polynomial ranges are commonly used for numerically solving polynomial systems with interval Newton solvers. Often ranges are computed using the convex hull property of the tensor...
Christoph Fünfzig, Dominique Michelucci, Sebt...
ISSAC
2005
Springer
119views Mathematics» more  ISSAC 2005»
14 years 1 months ago
Computing the multiplicity structure in solving polynomial systems
This paper presents a duality analysis and an algorithm for computing the multiplicity structure of a zero to a polynomial system, while the zero can be exact or approximate with ...
Barry H. Dayton, Zhonggang Zeng
IJNSEC
2010
324views more  IJNSEC 2010»
13 years 2 months ago
Computing the Modular Inverse of a Polynomial Function over GF(2P) Using Bit Wise Operation
Most public key crypto systems use finite field modulo arithmetic. This modulo arithmetic is applied on real numbers, binary values and polynomial functions. The computation cost ...
Rajaram Ramasamy, Amutha Prabakar Muniyandi