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Asymptotics of Random-Lattice Enumeration: Beyond HKZ via Dense Sublattices

Laarhoven, Thijs
arXiv (All) · Papers
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combinatoricscryptography-and-securitymetric-geometry
To bridge the gap between worst-case and heuristic analyses of lattice enumeration, we study the sizes of (unpruned) enumeration trees on $n$-dimensional Haar-random lattices. Writing $n^{cn+o(n)}$ for the tree size at the shortest vector radius, we investigate the asymptotic scaling of $c$, and whi
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