International Journal For Multidisciplinary Research

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On Hamming Distances of (α+uβ)-Constacyclic Codes of Length 4p^s over F_(p^m )+uF_(p^m )

Author(s) MADHU KANT THAKUR
Country India
Abstract In this paper, we discuss all the Hamming distances of (α+uβ)-constacyclic codes of 4p^s length over the finite chain ring R=F_(p^m )+uF_(p^m ) with u^2=0. Using the structures of (α+uβ)-constacyclic codes of length 4p^s over R, the Hamming distances of all constacyclic codes of length 4p^s over R are determined. We provide some parameters of good codes over R as examples, from which some are new in literature.
Keywords Repeated-Root Codes, Constacyclic Codes, Hamming Distance, Finite Chain Ring, MDS Codes.
Field Mathematics
Published In Volume 7, Issue 1, January-February 2025
Published On 2025-02-07
DOI https://doi.org/10.36948/ijfmr.2025.v07i01.36646
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E-ISSN 2582-2160
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