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
Cite This	On Hamming Distances of (α+uβ)-Constacyclic Codes of Length 4p^s over F_(p^m )+uF_(p^m ) - MADHU KANT THAKUR - IJFMR Volume 7, Issue 1, January-February 2025. DOI 10.36948/ijfmr.2025.v07i01.36646
DOI	https://doi.org/10.36948/ijfmr.2025.v07i01.36646
Short DOI	https://doi.org/g84d9w

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