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Dirichlet Regions and Perfect Codes in Additive Channel

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DOI: 10.4236/ojdm.2013.33025    2,333 Downloads   3,892 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

G. Movsisyan, "Dirichlet Regions and Perfect Codes in Additive Channel," Open Journal of Discrete Mathematics, Vol. 3 No. 3, 2013, pp. 137-142. doi: 10.4236/ojdm.2013.33025.

References

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