A. R. Akhiiarov

collaborators

2 papers

cs.IT2026

Envelopes of upper bounds for nonbinary constant-weight and constant-composition codes

Artur Akhiiarov, Peter Boyvalenkov, Danila Cherkashin +1

Deriving upper bounds on code size from existing bounds is a classical approach in coding theory, dating back to the seminal results of Elias, Bassalygo, and Levenshtein. We study…

math.CO2024

Lower bounds on the independence numbers of distance graphs with vertices in ${- 1, 0, 1}^{n}$

A. R. Akhiiarov, A. V. Bobu, A. M. Raigorodskii

This work is devoted to lower bounds on independence numbers of distance graphs with vertices in ${- 1, 0, 1}^{n}$ . The asymptotic case is studied, yielding new results over a broad r…

Envelopes of upper bounds for nonbinary constant-weight and constant-composition codes

Lower bounds on the independence numbers of distance graphs with vertices in {−1,0,1}n

Lower bounds on the independence numbers of distance graphs with vertices in ${- 1, 0, 1}^{n}$