English

Lattice Problems and Their Reductions(Russian)

Cryptography and Security 2010-10-13 v1

Abstract

This article presets a review of lattice problems. Paper contains the main eighteen problems with their reductions and referents to his cryptography application. As an example of reduction, we detail analyze connection between SVP and CVP. Moreover, we give an Ajtai theorem and demonstrate its role in lattice based cryptography.

Cite

@article{arxiv.1010.2368,
  title  = {Lattice Problems and Their Reductions(Russian)},
  author = {V. S. Usatyuk},
  journal= {arXiv preprint arXiv:1010.2368},
  year   = {2010}
}

Comments

12 pages, 12 figures

R2 v1 2026-06-21T16:27:17.027Z