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Well-rounded twists of ideal lattices from imaginary quadratic fields

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Publication:5089422
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DOI10.1142/S021949882250133XzbMath1504.11074arXiv2210.15049OpenAlexW3130058887MaRDI QIDQ5089422

Nam H. le, Ha Thanh Nguyen Tran, Dat T. Tran

Publication date: 19 July 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.15049


zbMATH Keywords

imaginary quadratic fieldsideal latticeswell-rounded latticeswell-rounded twists


Mathematics Subject Classification ID

Quadratic extensions (11R11) Number-theoretic algorithms; complexity (11Y16) Lattices and convex bodies (number-theoretic aspects) (11H06) Algebraic number theory computations (11Y40) Lattice packing and covering (number-theoretic aspects) (11H31)




Cites Work

  • Unnamed Item
  • Well-rounded twists of ideal lattices from real quadratic fields
  • Stable and well-rounded lattices in diagonal orbits
  • ON WELL-ROUNDED IDEAL LATTICES
  • Algorithms in Algebraic Number Theory
  • On the complexity of decoding lattices using the Korkin-Zolotarev reduced basis
  • ON WELL-ROUNDED IDEAL LATTICES II
  • Hermite’s Constant and Lattice Algorithms


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