منابع مشابه
Arcs and Curves over a Finite Field
In [11], a new bound for the number of points on an algebraic curve over a "nite "eld of odd order was obtained, and applied to improve previous bounds on the size of a complete arc not contained in a conic. Here, a similar approach is used to show that a complete arc in a plane of even order q has size q#2 or q!Jq#1 or less than q!2Jq#6. To obtain this result, "rst a new characterization of a ...
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A new family of Fq2-maximal curves is presented and some of their properties are investigated.
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متن کاملenumerating algebras over a finite field
we obtain the porc formulae for the number of non-associative algebras of dimension 2, 3 and 4 over the finite field gf$(q)$. we also give some asymptotic bounds for the number of algebras of dimension $n$ over gf$(q)$.
متن کاملElliptic Curves over Finite Fields
In this chapter, we study elliptic curves defined over finite fields. Our discussion will include the Weil conjectures for elliptic curves, criteria for supersingularity and a description of the possible groups arising as E(Fq). We shall use basic algebraic geometry of elliptic curves. Specifically, we shall need the notion and properties of isogenies of elliptic curves and of the Weil pairing....
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 1999
ISSN: 1071-5797
DOI: 10.1006/ffta.1999.0260