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» Unsatisfiable Systems of Equations, Over a Finite Field
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MOC
1998
97views more  MOC 1998»
13 years 7 months ago
Euclid's algorithm and the Lanczos method over finite fields
Abstract. This paper shows that there is a close relationship between the Euclidean algorithm for polynomials and the Lanczos method for solving sparse linear systems, especially w...
Jeremy Teitelbaum
ISDA
2006
IEEE
14 years 1 months ago
Efficient Multiplier over Finite Field Represented in Type II Optimal Normal Basis
- Elliptic curve cryptography plays a crucial role in networking and information security area, and modular multiplication arithmetic over finite field is a necessary computation p...
Youbo Wang, Zhiguang Tian, Xinyan Bi, Zhendong Niu
CDC
2009
IEEE
117views Control Systems» more  CDC 2009»
14 years 5 days ago
Information dissemination in networks via linear iterative strategies over finite fields
— Given an arbitrary network of interconnected nodes, each with an initial value from a discrete set, we consider the problem of distributively disseminating these initial values...
Shreyas Sundaram, Christoforos N. Hadjicostis
CORR
2004
Springer
117views Education» more  CORR 2004»
13 years 7 months ago
Efficient dot product over word-size finite fields
We want to achieve efficiency for the exact computation of the dot product of two vectors over word size finite fields. We therefore compare the practical behaviors of a wide range...
Jean-Guillaume Dumas
AAECC
1993
Springer
170views Algorithms» more  AAECC 1993»
13 years 11 months ago
Exponential Sums as Discrete Fourier Transform with Invariant Phase Functions
We give estimates for exponential sums over finite fields in several variables. We study the case where the phase is either quadratic or more generally invariant under the action ...
Gilles Lachaud