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arXiv · 2210.15049

Well-Rounded Twists of Ideal Lattices from Imaginary Quadratic Fields

Nam H. Le·Dat T. Tran·Ha T. N. Tran
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Abstract

In this paper, we investigate the properties of well-rounded twists of a given ideal lattice of an imaginary quadratic field $K$. We show that every ideal lattice $I$ of $K$ has at least one well-rounded twist lattice. Moreover, we provide an explicit algorithm to compute all well-rounded twists of $I$.

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Nam H. Le, Dat T. Tran, Ha T. N. Tran. 2022-10-26. Well-Rounded Twists of Ideal Lattices from Imaginary Quadratic Fields. https://doi.org/10.1142/s021949882250133x

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