Dirichlet Regions and Perfect Codes in Additive Channel

• 作者: Garib Movsisyan
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: DIRICHLET REGIONS PERFECT CODES ADDITIVE CHANNEL
• 年，卷（期）: 2013,（3）
• 页码范围: 137-142
• 页数: 6页
• 分类号: O1

摘要

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.