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The optimal LLL algorithm is still polynomial in fixed dimension.

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Publication:1401288
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DOI10.1016/S0304-3975(02)00616-3zbMath1053.68049MaRDI QIDQ1401288

Ali Akhavi

Publication date: 17 August 2003

Published in: Theoretical Computer Science (Search for Journal in Brave)


zbMATH Keywords

complexityoutput basis


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25)


Related Items (1)

Gradual sub-lattice reduction and a new complexity for factoring polynomials



Cites Work

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  • On Lovász' lattice reduction and the nearest lattice point problem
  • A hierarchy of polynomial time lattice basis reduction algorithms
  • Factoring polynomials with rational coefficients
  • Lattice reduction: a toolbox for the cryptoanalyst
  • Integer Programming with a Fixed Number of Variables
  • The Computational Complexity of Simultaneous Diophantine Approximation Problems
  • Solving low-density subset sum problems
  • The Generalized Gauss Reduction Algorithm
  • Worst-case complexity bounds for algorithms in the theory of integral quadratic forms
  • Gauss' algorithm revisited
  • An Average-Case Analysis of the Gaussian Algorithm for Lattice Reduction


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