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NP-hardness of ideal lattice problems

Martin, Daniel E.
arXiv (OAI Expanded) · Papers
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11h0611r0468q1268q1794a60computational-complexitynumber-theory
We establish the worst-case hardness of several ideal lattice problems (including SVP and CVP) in the $\ell_2$ norm by providing a dimension-preserving, deterministic polynomial time reduction from their generic lattice versions. The reduction constructs an ideal lattice in the canonical embedding o
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