29 citations · 139 across the 27 of their papers we have counts for
4 papers · 1 filter
Partial covering arrays for data hiding and quantization
Vladimir N. Potapov
We consider the problem of finding a set (partial covering array) of vertices of the Boolean -cube having cardinality and intersecting with maximum number of -d…
On the number of SQSs, latin hypercubes and MDS codes
Vladimir N. Potapov
It is established that the logarithm of the number of latin -cubes of order is and the logarithm of the number of pairs of orthogonal latin squares of order…
Gray coding planar maps
Sergey Avgustinovich, Sergey Kitaev, Vladimir N. Potapov +1
The idea of (combinatorial) Gray codes is to list objects in question in such a way that two successive objects differ in some pre-specified small way. In this paper, we utilize be…
On the number of transversals in latin squares
Vladimir N. Potapov
The logarithm of the maximum number of transversals over all latin squares of order is greater than .