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Shortest Vector Problem

Find a shortest nonzero lattice vector.

Kissing-constant assumptions

Fix a uniform kissing/point-counting bound and its exponent β before comparing c(β)

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ClassicalConditional theoremArbitrary lattices2c n + o(n)
#PUBLICATION / AUTHORSDATETIME BOUNDSPACE BOUNDEVIDENCE
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Comparison definition & assumptions
Regime
Fix a uniform kissing/point-counting bound and its exponent β before comparing c(β)
Computation
Classical
Rigor
Conditional theorem
Instances
Arbitrary lattices
Cost scale
2^{c n + o(n)}
Parameter
n
Description
A place for conditional time bounds parameterized by lattice point counting. Pin the exact β and theorem assumptions before entering numeric coefficients.
Comparison rules
Record the exact parameter regime, cost unit, distribution and access assumptions. A source and BibTeX are required for new submissions. This template makes no claim to a universal exponent.
Tags
kissing-constant assumption, point counting, arbitrary lattices, conditional, Euclidean