V. Potapov

activity

20072024

q

-ary Steiner and other-type trades

29 citations · 139 across the 27 of their papers we have counts for

collaborators

Showing 2013 · cs.ITShow all

2 papers · 2 filters

cs.IT2013★ 2 cited

Constructions of transitive latin hypercubes

Denis Krotov, Vladimir Potapov

A function $f : {0, ..., q - 1}^{n} \to {0, ..., q - 1}$ invertible in each argument is called a latin hypercube. A collection $(π_{0}, π_{1}, ..., π_{n})$ of permutations of ${0, ..., q - 1}$ is calle…

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…