V. K. Leontyev, G. L. Movsisyan and J. G. Margaryan, “Partition of N-Dimensional Space on GF(2) into Dirichlet’s Regions,” Vestnik RAU, Vol. 2, No. 1, 2011, pp. 26-41.
has been cited by the following article:
TITLE: Dirichlet Regions and Perfect Codes in Additive Channel
AUTHORS: Garib Movsisyan
KEYWORDS: Dirichlet Regions; Perfect Codes; Additive Channel
JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.3 No.3, July 12, 2013
ABSTRACT: In the present work, the class of metrics connected with subsets of the linear space on the field, GF(2), is considered and a number of facts are established, which allow us to express the correcting capacity of codes for the additive channel in terms of this metrics. It is also considered a partition of the metric space, Bn, by means of D-representable codes. The equivalence of D-representable and the perfect codes in the additive channel is proved.