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.