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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★ 2 cited
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…