3 papers
math.NT2023
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…
cs.IT2019
On the Optimality of Gauss's Algorithm over Euclidean Imaginary Quadratic Fields
Christian Porter, Shanxiang Lyu, Cong Ling
In this paper, we continue our previous work on the reduction of algebraic lattices over imaginary quadratic fields for the special case when the lattice is spanned over a two dime…
cs.IT2018
Lattice Reduction over Imaginary Quadratic Fields
Shanxiang Lyu, Christian Porter, Cong Ling
Complex bases, along with direct-sums defined by rings of imaginary quadratic integers, induce algebraic lattices. In this work, we study such lattices and their reduction algorith…