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FFA
2008
93views more  FFA 2008»
13 years 11 months ago
A new class of monomial bent functions
We study the Boolean functions f :F2n F2, n = 6r, of the form f (x) = Tr(xd) with d = 22r + 2r + 1 and F2n . Our main result is the characterization of those for which f are b...
Anne Canteaut, Pascale Charpin, Gohar M. M. Kyureg...
FFA
2008
42views more  FFA 2008»
13 years 11 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
FFA
2008
75views more  FFA 2008»
13 years 11 months ago
Syntactical and automatic properties of sets of polynomials over finite fields
Syntactical properties of representations of integers in various number systems are well-known and have been extensively studied. In this paper, we transpose the notion of recogniz...
Michel Rigo
FFA
2008
62views more  FFA 2008»
13 years 11 months ago
A construction of one-dimensional affine flag-transitive linear spaces
The finite flag-transitive linear spaces which have an insoluble automorphism group were given a precise description in [BDD+90], and their classification has recently been comple...
Michael Pauley, John Bamberg
FFA
2008
52views more  FFA 2008»
13 years 11 months ago
Vandermonde sets and super-Vandermonde sets
Péter Sziklai, Marcella Takáts
FFA
2008
53views more  FFA 2008»
13 years 11 months ago
Bilinear character sums over elliptic curves
Let k be a finite field with q elements. Let kn be the extension of k with degree n. Let Nn be the kernel of the norm map Nkn/k : k
Igor Shparlinski
FFA
2008
82views more  FFA 2008»
13 years 11 months ago
Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators
We consider metric results for the asymptotic behavior of the number of solutions of Diophantine approximation inequalities with restricted denominators for Laurent formal power s...
Valérie Berthé, Hitoshi Nakada, Rie ...
FFA
2008
260views more  FFA 2008»
13 years 11 months ago
On the isotopism classes of finite semifields
A projective plane is called a translation plane if there exists a line L such that the group of elations with axis L acts transitively on the points not on L. A translation plane...
Michel Lavrauw