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» On the subset sum problem over finite fields
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INDOCRYPT
2001
Springer
13 years 12 months ago
Analysis of the GHS Weil Descent Attack on the ECDLP over Characteristic Two Finite Fields of Composite Degree
In this paper, the authors analyze the Gaudry–Hess–Smart (GHS) Weil descent attack on the elliptic curve discrete logarithm problem (ECDLP) for elliptic curves defined over c...
Markus Maurer, Alfred Menezes, Edlyn Teske
CDC
2009
IEEE
117views Control Systems» more  CDC 2009»
14 years 3 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
ASIACRYPT
2000
Springer
13 years 11 months ago
Weil Descent of Elliptic Curves over Finite Fields of Characteristic Three
The paper shows that some of elliptic curves over finite fields of characteristic three of composite degree are attacked by a more effective algorithm than Pollard’s ρ method...
Seigo Arita
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 7 months ago
Factoring Polynomials over Finite Fields using Balance Test
We study the problem of factoring univariate polynomials over finite fields. Under the assumption of the Extended Riemann Hypothesis (ERH), Gao [Gao01] designed a polynomial time ...
Chandan Saha
FFA
2008
42views more  FFA 2008»
13 years 7 months ago
Weyl sums in Fq[x] with digital restrictions
Let Fq be a finite field and consider the polynomial ring Fq[X]. Let Q Fq[X]. A function f : Fq[X] G, where G is a group, is called strongly Q-additive, if f(AQ + B) = f(A) + f(B...
Manfred G. Madritsch, Jörg M. Thuswaldner