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Hardness of the Covering Radius Problem on Lattices

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/0471722154openalex-snapshot
The Probabilistic Method
inferredcites →https://doi.org/10.1007/11818175_8openalex-snapshot
Lattice-Based Cryptography
inferredcites →https://doi.org/10.1007/3-540-46521-9_22openalex-snapshot
Approximating SVP ∞ to within Almost-Polynomial Factors Is NP-Hard
inferredcites →https://doi.org/10.1007/978-3-540-28629-5_19openalex-snapshot
Group Coloring and List Group Coloring Are Π2 P -Complete
inferredcites →https://doi.org/10.1007/978-3-662-04565-7_29openalex-snapshot
Hardness of Approximation
inferredcites →https://doi.org/10.1007/978-3-662-21711-5_16openalex-snapshot
Approximation Algorithms
inferredcites →https://doi.org/10.1007/bf01204720openalex-snapshot
Lattice translates of a polytope and the Frobenius problem
inferredcites →https://doi.org/10.1007/bf01279452openalex-snapshot
On the longest circuit in an alterable digraph
inferredcites →https://doi.org/10.1007/bf02126799openalex-snapshot
Ramanujan graphs
inferredcites →https://doi.org/10.1007/s00037-005-0193-yopenalex-snapshot
The complexity of the covering radius problem
inferredcites →https://doi.org/10.1007/s00493-003-0019-yopenalex-snapshot
Approximating CVP to Within Almost-Polynomial Factors is NP-Hard
inferredcites →https://doi.org/10.1007/springerreference_57547openalex-snapshot
Approximation Algorithms
inferredcites →https://doi.org/10.1016/0020-0190(87)90232-8openalex-snapshot
Does co-NP have short interactive proofs?
inferredcites →https://doi.org/10.1016/0022-0000(91)90023-xopenalex-snapshot
Optimization, approximation, and complexity classes
inferredcites →https://doi.org/10.1016/j.jcss.2005.07.002openalex-snapshot
Hardness of approximating the Shortest Vector Problem in high ℓp norms
inferredcites →https://doi.org/10.1016/s0304-3975(01)00290-0openalex-snapshot
Approximating SVP∞ to within almost-polynomial factors is NP-hard
inferredcites →https://doi.org/10.1098/rspa.1992.0004openalex-snapshot
Low-dimensional lattices. VI. Voronoi reduction of three-dimensional lattices
inferredcites →https://doi.org/10.1109/ccc.2002.1004339openalex-snapshot
Sampling short lattice vectors and the closest lattice vector problem
inferredcites →https://doi.org/10.1109/focs.2004.31openalex-snapshot
Hardness of Approximating the Shortest Vector Problem in Lattices
inferredcites →https://doi.org/10.1109/sfcs.1998.743433openalex-snapshot
Approximating-CVP to within almost-polynomial factors is NP-hard
inferredcites →https://doi.org/10.1109/tit.1984.1056978openalex-snapshot
The complexity of computing the covering radius of a code
inferredcites →https://doi.org/10.1137/0604005openalex-snapshot
The Optimal Lattice Quantizer in Three Dimensions
inferredcites →https://doi.org/10.1137/s0097539703433511openalex-snapshot
Almost Perfect Lattices, the Covering Radius Problem, and Applications to Ajtai's Connection Factor
inferredcites →https://doi.org/10.1145/1089023.1089027openalex-snapshot
Hardness of approximating the shortest vector problem in lattices
inferredcites →https://doi.org/10.1145/276698.276705openalex-snapshot
The shortest vector problem in L 2 is NP -hard for randomized reductions (extended abstract)
inferredcites →https://doi.org/10.4086/toc.2007.v003a003openalex-snapshot
inferredcites →https://doi.org/10.4153/cjm-1956-033-4openalex-snapshot
The Covering Of Space By Spheres

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-031-07082-2_23openalex-snapshot
On the Lattice Isomorphism Problem, Quadratic Forms, Remarkable Lattices, and Cryptography
inferred← citeshttps://doi.org/10.1007/978-3-319-06089-7_27openalex-snapshot
A Local-Global Approach to Solving Ideal Lattice Problems
inferred← citeshttps://doi.org/10.1007/978-3-319-06089-7_28openalex-snapshot
Modular Form Approach to Solving Lattice Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-02295-1_14openalex-snapshot
Inapproximability Results for Computational Problems on Lattices
inferred← citeshttps://doi.org/10.1007/978-3-642-32512-0_16openalex-snapshot
The Remote Set Problem on Lattices
inferred← citeshttps://doi.org/10.1007/s00037-008-0251-3openalex-snapshot
Limits on the Hardness of Lattice Problems in ℓ p Norms
inferred← citeshttps://doi.org/10.1007/s00037-014-0094-zopenalex-snapshot
The remote set problem on lattices
inferred← citeshttps://doi.org/10.1007/s00454-008-9123-5openalex-snapshot
A Note on the Distribution of the Distance from a Lattice
inferred← citeshttps://doi.org/10.1007/s00493-020-4633-8openalex-snapshot
Computing the Covering Radius of a Polytope with an Application to Lonely Runners
inferred← citeshttps://doi.org/10.1145/1806689.1806739openalex-snapshot
A deterministic single exponential time algorithm for most lattice problems based on voronoi cell computations
inferred← citeshttps://doi.org/10.1145/3313276.3316397openalex-snapshot
On approximating the covering radius and finding dense lattice subspaces
inferred← citeshttps://doi.org/10.4086/toc.2007.v003a003openalex-snapshot
inferred← citeshttps://doi.org/10.4230/lipics.socg.2015.704openalex-snapshot
Faster Deterministic Volume Estimation in the Oracle Model via Thin Lattice Coverings
inferred← citeshttps://doi.org/10.48550/arxiv.1311.6671openalex-snapshot
A Deterministic Polynomial Space Construction for eps-nets under any Norm
inferred← citeshttps://doi.org/10.48550/arxiv.2008.00044openalex-snapshot
On the Computational Complexity of Linear Discrepancy
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