Partitions into Perfect Codes in the Hamming and Lee Metrics

被引：0
|
作者：
F. I. Solov’eva
机构：
[1] Sobolev Institute of Mathematics,
[2] Siberian Branch of the Russian Academy of Sciences,undefined
来源：
Problems of Information Transmission | 2022年 / 58卷
关键词：
perfect code; perfect code in the Hamming metric; perfect code in the Lee metric; diameter perfect code in the Lee metric; partitions; partitions into perfect codes;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose new combinatorial constructions of partitions into perfect codes in both the Hamming and Lee metrics. Also, we present a new combinatorial construction method for diameter perfect codes in the Lee metric, which is further developed to a construction of partitions into such codes. For the Lee metric, we improve previously known lower bounds on the number of perfect and diameter perfect codes proposed by Etzion in 2011.
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页码：254 / 264
页数：10
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