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Well-Rounded Twists of Ideal Lattices from Imaginary Quadratic Fields

Number Theory 2022-10-28 v1

Abstract

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

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Cite

@article{arxiv.2210.15049,
  title  = {Well-Rounded Twists of Ideal Lattices from Imaginary Quadratic Fields},
  author = {Nam H. Le and Dat T. Tran and Ha T. N. Tran},
  journal= {arXiv preprint arXiv:2210.15049},
  year   = {2022}
}

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24 pages