5 papers · 1 filter
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…
New upper bounds for binary linear covering codes
Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco
The length function is the smallest length of a binary linear code with codimension (redundancy) and covering radius . We obtain the following new upper bounds…
New infinite families of uniformly packed near-MDS codes and multiple coverings, based on the ternary Golay code
Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco
We present five new infinite families of linear near-MDS codes uniformly packed in the wide sense (UPWS). These codes are also almost perfect multiple coverings of the deep holes o…
Further results on orbits and incidence matrices for the class of lines external to the twisted cubic in
Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco
In the literature, lines of the projective space are partitioned into classes, each of which is a union of line orbits under the stabilizer group of the twisted…
Further results on covering codes with radius R and codimension tR + 1
Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco
The length function is the smallest possible length of a -ary linear code with codimension (redundancy) and covering radius . Let $s_q(N,…