4 citations · 11 across the 9 of their papers we have counts for
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Generalized Palindromic Continued Fractions
David M. Freeman
In this paper we introduce a generalization of palindromic continued fractions as studied by Adamczewski and Bugeaud. We refer to these generalized palindromes as -palindromes,…
Abelian Varieties with Prescribed Embedding Degree
David Freeman, Peter Stevenhagen, Marco Streng
We present an algorithm that, on input of a CM-field , an integer , and a prime , constructs a -Weil number corresponding to an ordinary…
Computing endomorphism rings of Jacobians of genus 2 curves over finite fields
David Freeman, Kristin Lauter
We present algorithms which, given a genus 2 curve defined over a finite field and a quartic CM field , determine whether the endomorphism ring of the Jacobian of is…
Constructing pairing-friendly elliptic curves with embedding degree 10
David Freeman
We present a general framework for constructing families of elliptic curves of prime order with prescribed embedding degree. We demonstrate this method by constructing curves with…