2 citations · 4 across the 12 of their papers we have counts for
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Unit Reducible Cyclotomic Fields
Christian Porter, Piero Sarti, Cong Ling +1
In this paper, we continue the study of unit reducible fields as introduced in \cite{LPL23} for the special case of cyclotomic fields. Specifically, we deduce that the cyclotomic f…
Strongly Reduced Lattice Bases
Christian Porter
In this paper, we show that for each lattice basis, there exists an equivalent basis which we describe as ``strongly reduced''. We show that bases reduced in this manner exhibit ra…
Quantum algorithmic solutions to the shortest vector problem on simulated coherent Ising machines
Edmund Dable-Heath, Laura Casas, Victor Hertz +3
Quantum computing poses a threat to contemporary cryptosystems, with advances to a state in which it will cause problems predicted for the next few decades. Many of the proposed cr…
On Pisot Units and the Fundamental Domain of Galois Extensions of
Christian Porter, Alexandre Bali, Alar Leibak
In this paper, we present two main results. Let be a number field that is Galois over with degree , where is the number of real embeddings and is the…