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arXiv · 1210.6494

Short review of lattice basis reduction types and his applications (Russian)

Vasiliy Usatyuk
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Abstract

This article presets a review of lattice lattice basis reduction types. Paper contains the main five types of lattice basis reduction: size reduced (weak Hermit), c-reduced, Lovasz condition, Hermit-Korkin-Zolotarev, Minkowski reduced. The article provides references to applications in: information theory (decoding of coding group in MIMO), calculus (minimize of the positive quadratic form), complexity theory and cryptanalysis of Merkle-Hellman cryptography (solving subset sum problems), algebra and control theory(solving system of linear diophantine equation), compiler theory (lattice based memory allocation), synthesize cryptographic and cryptanalysis in lattice based cryptography.

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Vasiliy Usatyuk. 2012-11-10. Short review of lattice basis reduction types and his applications (Russian). https://arxiv.org/abs/1210.6494

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