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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 12 Oct 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 2,554 (eissn: 2227-7390,

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Authors: Mohammed Charkani; Hai Dinh; Jamal Laaouine; Woraphon Yamaka;

doi: 10.3390/math9202554

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

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Abstract

Let p be a prime, s, m be positive integers, γ be a nonzero element of the finite field Fpm, and let R=Fpm[u]/⟨u3⟩ be the finite commutative chain ring. In this paper, the symbol-pair distances of all γ-constacyclic codes of length ps over R are completely determined.

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Keywords

constacyclic codes, symbol-pair distance, QA1-939, finite chain ring, repeated-root codes, Mathematics

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