1 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
The non-existence of a [[13,5,4]] quantum stabilizer code
J. Bierbrauer, S. Marcugini, F. Pambianco
We solve one of the oldest problems in the theory of quantum stabilizer codes by proving the non-existence of quantum [[13,5,4]]-codes.
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…