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04/24/2023
Strongly Reduced Lattice Bases
In this paper, we show that for each lattice basis, there exists an equi...
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08/11/2022
A New Bound for the Orthogonality Defect of HKZ Reduced Lattices
In this work, we determine a sharp upper bound on the orthogonality defe...
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11/12/2021
Reduction Theory of Algebraic Modules and their Successive Minima
Lattices defined as modules over algebraic rings or orders have garnered...
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05/07/2021
Subfield Algorithms for Ideal- and Module-SVP Based on the Decomposition Group
Whilst lattice-based cryptosystems are believed to be resistant to quant...
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04/10/2019
On the Optimality of Gauss's Algorithm over Euclidean Imaginary Quadratic Fields
In this paper, we continue our previous work on the reduction of algebra...
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06/08/2018