4 papers
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…
Weight distributions of cosets of weight 2 of the generalized doubly extended Reed-Solomon codes
Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco
We consider the weight distributions of the cosets of weight 2 of the generalized doubly extended Reed-Solomon codes (GDRS) of minimum distance , over the…
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…