On the Covering Radius of Codes over <mml:semantics>Z<mml:msup>pk</mml:msup></mml:semantics>

被引：1
|
作者：
Cruz, Mohan [1 ,2 ]
Durairajan, Chinnapillai [2 ]
Sole, Patrick [3 ]
机构：
[1] Bharathidasan Univ, Bishop Heber Coll, Tiruchirappalli 620017, Tamil Nadu, India
[2] Bharathidasan Univ, Dept Math, Tiruchirappalli 620024, Tamil Nadu, India
[3] Aix Marseille Univ, CNRS, Cent Marseille, I2M, F-13009 Marseille, France
来源：
MATHEMATICS | 2020年 / 8卷 / 03期
关键词：
covering radius; codes over rings; repetition codes; Gray map; LINEAR CODES;
D O I：
10.3390/math8030328
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this correspondence, we investigate the covering radius of various types of repetition codes over <mml:semantics>Zpk(k >= 2)</mml:semantics> with respect to the Lee distance. We determine the exact covering radius of the various repetition codes, which have been constructed using the zero divisors and units in <mml:semantics>Zpk</mml:semantics>. We also derive the lower and upper bounds on the covering radius of block repetition codes over <mml:semantics>Zpk</mml:semantics>.
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页数：10
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