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Analysis of Rabin's irreducibility test for polynomials over finite fields
(UR. FI – INCO., 2001)
We give a precise average-case analysis of Rabin's algorithm for testing the irreducibility of polynomials over finite fields. The main technical contribution of the paper is the study of the probability that a random ...
On the number of solutions of systems of certain diagonal equations over finite fields
(Academic Press Inc Elsevier Science, 2022-07)
In this paper we obtain explicit estimates and existence results on the number of Fq-rational solutions of certain systems defined by families of diagonal equations over finite fields. Our approach relies on the study of ...
Rational places in extensions and sequences of function fields of Kummer type
(Elsevier Science, 2011-11)
In this paper we prove results on the number of rational places in extensions of Kummer type over finite fields and give sufficient conditions for non-trivial lower bounds on the number of rational places at each step ...
An Eulerian finite element with finite rotations for thin-walled composite beams.
(Asociación Argentina de Mecánica Computacional, 2010-11)
An Eulerian beam finite element for composite thin-walled beams considering arbitrary displacements and rotations is presented. As a distinct feature, the virtual work equations are written as a function of generalized ...
A general technique to embed non-uniform discontinuities into standard solid finite elements
(2006-04-01)
A general technique to embed non-uniform displacement discontinuities into standard solid finite elements is presented. The technique is based on the decomposition of the kinematic fields into a component related to the ...
A general technique to embed non-uniform discontinuities into standard solid finite elements
(2006-04-01)
A general technique to embed non-uniform displacement discontinuities into standard solid finite elements is presented. The technique is based on the decomposition of the kinematic fields into a component related to the ...