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Deciding Orthogonality in Construction-A Lattices

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Publication:5270405
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DOI10.1137/15M1054766zbMath1430.94102MaRDI QIDQ5270405

Karthekeyan Chandrasekaran, Elena Grigorescu, Venkata Gandikota

Publication date: 23 June 2017

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

lattice isomorphismorthogonal latticesconstruction-A lattices


Mathematics Subject Classification ID

Analysis of algorithms (68W40) Other types of codes (94B60) Matrices of integers (15B36)


Related Items (2)

Sieve algorithms for some orthogonal integer lattices ⋮ Just how hard are rotations of \(\mathbb{Z}^n\)? Algorithms and cryptography with the simplest lattice



Cites Work

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  • Factoring polynomials with rational coefficients
  • Computing isometries of lattices
  • Lattices with symmetry
  • Factoring Integers by CVP Algorithms
  • Revisiting the Gentry-Szydlo Algorithm
  • Complexity and algorithms for computing Voronoi cells of lattices
  • Lattice-based Cryptography
  • Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix
  • On the Lattice Isomorphism Problem


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