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

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cs.IT2026

Further results on binary linear covering codes and saturating sets in projective spaces

Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco +1

The binary length function $ℓ_{2} (r, R)$ is the smallest length of a binary linear code with codimension (redundancy) $r$ and covering radius $R$ . Let $s_{2} (N, ρ)$ be the smallest si…

math.CO2026

Orbits and incidence matrices for points, planes and lines regarding the twisted cubic in PG(3,q), q = 2, 3, 4

Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco

In the three-dimensional projective space PG(3,q) over the finite field F_q with q elements, we consider the normal rational curve known as a twisted cubic and the projectivity gro…