29 citations · 53 across the 27 of their papers we have counts for
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math.CO2014
On homogeneous nontransitive binary perfect code
I. Yu. Mogilnykh, F. I. Solov'eva
Studying binary perfect codes we show the existence of homogeneous nontransitive codes. Thus, as far as perfect codes are concerned, the propelinear codes are strictly contained in…
math.CO2014★ 29 cited
To the theory of -ary Steiner and other-type trades
Denis Krotov, Ivan Mogilnykh, Vladimir Potapov
We introduce the concept of a clique bitrade, which generalizes several known types of bitrades, including latin bitrades, Steiner bitrades, extended -perfect bitra…
math.CO2014
Transitive nonpropelinear perfect codes
I. Yu. Mogilnykh, F. I. Solov'eva
A code is called transitive if its automorphism group (the isometry group) of the code acts transitively on its codewords. If there is a subgroup of the automorphism group acting r…