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11

CALC
2001
Springer

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The Shortest Vector Problem in Lattices with Many Cycles

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The Shortest Vector Problem in Lattices with Many Cycles

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In this paper we investigate how the complexity of the shortest vector problem in a lattice Λ depends on the cycle structure of the additive group Zn /Λ. We give a proof that the shortest vector problem is NP-complete in the max-norm for n-dimensional lattices Λ where Zn /Λ has n−1 cycles. We also give experimental data that show that the LLL algorithm does not perform signiﬁcantly better on lattices with a high number of cycles.

Mårten Trolin

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Added	28 Jul 2010
Updated	28 Jul 2010
Type	Conference
Year	2001
Where	CALC
Authors	Mårten Trolin

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