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DGS

Discrete Gaussian Sampling

Sample lattice vectors according to a discrete Gaussian.

Classical · supplied basis · parallel online

Shifted DGS with width controlled by the basis operator norm

1 results · 1 papers
ClassicalProvableWorst caseOnline arithmetic operations
#PUBLICATION / AUTHORSDATETIME BOUNDSPACE BOUNDEVIDENCE
—An Efficient and Parallel Gaussian Sampler for LatticesChris PeikertCrypto 2010SourceBibTeX / detailsclassical provable worst case trapdoor parallel offline online shifted DGS2010O(n2) online real operations; O(n2/P) per processorOffline matrices and fresh perturbation vectorPublishedSource checked
Comparison definition & assumptions
Regime
Shifted DGS with width controlled by the basis operator norm
Computation
Classical
Rigor
Provable
Instances
Worst case
Cost scale
Online arithmetic operations
Parameter
n
Description
Offline/online sampling with explicit parallel online cost.
Comparison rules
Record covariance and basis assumptions; exclude offline preparation only when explicit. Real-arithmetic counts are not bit-operation exponents. Operator-norm and Gram–Schmidt width conditions are different contracts.
Tags
trapdoor, offline online, parallel, shifted