Article

On an estimate related to the homogeneous minimum of the admissible lattice

Kh. Kh. RuzimuradovSamarkand state university, Samarkand, 140104, UzbekistanL. IsmatovaSamarkand state university, Samarkand, 140104, UzbekistanN. PoyanovaTermiz state university, Termiz,190111, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In this paper, we have obtained an upper estimate for the norm of the basis vectors of the lattice Λ in terms of the homogeneous minimum of the lattice μ. Such estimates are used to estimate and find the vector and closest vector problems on lattices. In this paper, we essentially use the geometric construction of the basis of an admissible lattice and some properties of matrix arithmetic.

Topics

graph theory and CDMA systems Matrix Theory and Algorithms Advanced Numerical Analysis Techniques

Identifiers

DOI: 10.1063/5.0214049

Citations and references

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