55 citations · 628 across the 77 of their papers we have counts for
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cs.IT2013★ 2 cited
Constructions of transitive latin hypercubes
Denis Krotov, Vladimir Potapov
A function invertible in each argument is called a latin hypercube. A collection of permutations of is calle…
math.CO2013★ 6 cited
On calculation of the interweight distribution of an equitable partition
Denis Krotov
We derive recursive and direct formulas for the interweight distribution of an equitable partition of a hypercube. The formulas involve a three-variable generalization of the Krawt…
cs.IT2013★ 8 cited
Propelinear 1-perfect codes from quadratic functions
Denis Krotov, Vladimir Potapov
Perfect codes obtained by the Vasil'ev--Schönheim construction from a linear base code and quadratic switching functions are transitive and, moreover, propelinear. This gives at le…