8 citations · 16 across the 5 of their papers we have counts for
5 papers
Some Congruences of Kloosterman Sums and their Minimal Polynomials
Faruk Gologlu, Gary McGuire, Richard Moloney
We prove two results on Kloosterman sums over finite fields, using Stickelberger's theorem and the Gross-Koblitz formula. The first result concerns the minimal polynomial over Q of…
Ternary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula
Faruk Gologlu, Gary McGuire, Richard Moloney
We give results characterising ternary Kloosterman sums modulo 9 and 27. This leads to a complete characterisation of values that ternary Kloosterman sums assume modulo 18 and 54.…
Binary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula
Faruk Gologlu, Gary McGuire, Richard Moloney
Let denote the Kloosterman sum on the finite field of order . We give a simple characterization of modulo 16, in terms of the trace of an…
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…
Division polynomials for twisted Edwards curves
Richard Moloney, Laura Hitt, Gary McGuire
This paper presents division polynomials for twisted Edwards curves. Their chief property is that they characterise the -torsion points of a given twisted Edwards curve. We also…