On the Covering Radius of Codes over Z p k

Mohan Cruz, Chinnapillai Durairajan and Patrick Solé
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Mohan Cruz: Bishop Heber College, Affiliated to Bharathidasan University, Tiruchirappalli 620 017, Tamilnadu, India
Chinnapillai Durairajan: Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamilnadu, India
Patrick Solé: CNRS, Aix-Marseille University, Centrale Marseille, I2M, 13009 Marseilles, France

Mathematics, 2020, vol. 8, issue 3, 1-10

Abstract: In this correspondence, we investigate the covering radius of various types of repetition codes over Z p k ( k ≥ 2 ) 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 Z p k . We also derive the lower and upper bounds on the covering radius of block repetition codes over Z p k .

Keywords: covering radius; codes over rings; repetition codes; Gray map (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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