911 citations
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Showing 2009 · math.COShow all
3 papers · 2 filters
math.CO2009★ 1 cited
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…
math.CO2009
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…
math.CO2009
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…