A. Davydov

activity

20092026

most citedOn upper bounds on the smallest size of a saturating set in a projective plane

5 citations · 41 across the 35 of their papers we have counts for

collaborators

Showing 2023 · math.COShow all

2 papers · 2 filters

math.CO2023

Further results on covering codes with radius R and codimension tR + 1

Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco

The length function $ℓ_{q} (r, R)$ is the smallest possible length $n$ of a $q$ -ary linear $[n, n - r]_{q} R$ code with codimension (redundancy) $r$ and covering radius $R$ . Let $s_q(N,…

math.CO2023

New bounds for covering codes of radius 3 and codimension 3t+1

Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco

The smallest possible length of a $q$ -ary linear code of covering radius $R$ and codimension (redundancy) $r$ is called the length function and is denoted by $ℓ_{q} (r, R)$ . In this…