17 citations · 27 across the 11 of their papers we have counts for
5 papers · 1 filter
Some combinatorial aspects of constructing bipartite-graph codes
Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini +1
We propose geometrical methods for constructing square 01-matrices with the same number n of units in every row and column, and such that any two rows of the matrix contain at most…
Linear nonbinary covering codes and saturating sets in projective spaces
Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini +1
Let A_{R,q} denote a family of covering codes, in which the covering radius R and the size q of the underlying Galois field are fixed, while the code length tends to infinity. In t…
New inductive constructions of complete caps in , even
Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini +1
Some new families of small complete caps in , even, are described. By using inductive arguments, the problem of the construction of small complete caps in projective s…
Line partitions of internal points to a conic in PG(2,q)
Massimo Giulietti
All sets of lines providing a partition of the set of internal points to a conic C in PG(2,q), q odd, are determined. There exist only three such linesets up to projectivities, nam…
On Hyperfocused Arcs in PG(2,q)
Massimo Giulietti, Elisa Montanucci
A k-arc in a Dearguesian projective plane whose secants meet some external line in k-1 points is said to be hyperfocused. Hyperfocused arcs are investigated in connection with a se…