7 citations · 33 across the 16 of their papers we have counts for
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Divisibility of L-Polynomials for a Family of Artin-Schreier Curves
Gary McGuire, Emrah Sercan Yılmaz
In this paper we consider the curves defined over and give a positive answer to a conjecture about a divisibility condition on -…
On the Zeta Functions of Supersingular Curves
Gary McGuire, Emrah Sercan Yılmaz
In general, the L-polynomial of a curve of genus is determined by coefficients. We show that the L-polynomial of a supersingular curve of genus is determined by fewer t…
Divisibility of L-Polynomials for a Family of Curves
Ivan Blanco Chacon, Robin Chapman, Stiofain Fordham +1
We consider the question of when the L-polynomial of one curve divides the L-polynomial of another curve. A theorem of Tate gives an answer in terms of jacobians. We consider the q…
On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields
Vijaykumar Singh, Alexey Zatysev, Gary McGuire
In this article, we derive the list of the characteristic polynomials of the Frobenius endomorphism of simple supersingular abelian varieties of dimension ove…
A few more functions that are not APN infinitely often
Yves Aubry, Gary Mcguire, François Rodier
We consider exceptional APN functions on , which by definition are functions that are not APN on infinitely many extensions of . Our main result is th…
Two Kinds of Division Polynomials For Twisted Edwards Curves
Richard Moloney, Gary McGuire
This paper presents two kinds of division polynomials for twisted Edwards curves. Their chief property is that they characterise the -torsion points of a given twisted Edwards c…