Searching for hard instances of CVP problem-cryptographic perspective

Jacek Pardyak

doi:10.1117/12.784765

28 December 2007 Searching for hard instances of CVP problem-cryptographic perspective

Jacek Pardyak

Proceedings Volume 6937, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2007; 693723 (2007) https://doi.org/10.1117/12.784765
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2007, 2007, Wilga, Poland

Abstract

Lattice is regular arrangement of points in Rⁿ. The Closest Vector Problem (CVP) is defined as follow: given a point y in Rn and a lattice basis B find lattice vector Bx closest to y . The CVP problem is believed to be computationally intractable in average. Here we propose a new way to generate hard instances of CVP and a method that allows us to construct a cryptographic trapdoor function based on it. We start with brief introduction to lattices. Next we present a very natural application of lattices in cryptography, i.e. GGH cryptosystem and the way the system was broken. Finally we present our modifications way to generate hard instances of CVP, harder than previously proposed in GGH.

Citation Download Citation

Jacek Pardyak "Searching for hard instances of CVP problem-cryptographic perspective", Proc. SPIE 6937, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2007, 693723 (28 December 2007); https://doi.org/10.1117/12.784765

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