Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths over \({{\mathbb{F}_{p^m}[u]}/{\langle u^3\rangle}}\)

Mohammed E. Charkani, Hai Q. Dinh, Jamal Laaouine and Woraphon Yamaka
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Mohammed E. Charkani: Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdallah, B.P. 1796, Fès-Atlas, Fès 30003, Morocco
Hai Q. Dinh: Department of Mathematical Sciences, Kent State University, Warren, OH 44483, USA
Jamal Laaouine: Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdallah, B.P. 1796, Fès-Atlas, Fès 30003, Morocco
Woraphon Yamaka: Centre of Excellence in Econometrics, Faculty of Economics, Chiang Mai University, Chiang Mai 52000, Thailand

Mathematics, 2021, vol. 9, issue 20, 1-15

Abstract: Let p be a prime, s , m be positive integers, ? be a nonzero element of the finite field F p m , and let R = F p m [ u ] / ? u 3 ? be the finite commutative chain ring. In this paper, the symbol-pair distances of all ? -constacyclic codes of length p s over R are completely determined.

Keywords: repeated-root codes; constacyclic codes; symbol-pair distance; finite chain ring (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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