October 10, 2007
Faina I. Solov'eva (Sobolev Institute, Novosibirsk): On transitive partitions of the $n$-cube into binary codes
Abstract:
The methods to construct transitive partitions of the $n$-cube into binary codes are presented. The existence of transitive partitions of the $n$-cube, $n=2^k-1$, $k>2$ into perfect binary codes is shown.