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dc.contributor.authorH. Q. Dinhen_US
dc.contributor.authorP. Kumamen_US
dc.contributor.authorP. Kumaren_US
dc.contributor.authorS. Satpatien_US
dc.contributor.authorA. K. Singhen_US
dc.contributor.authorW. Yamakaen_US
dc.description.abstract© 2013 IEEE. MDS codes have the highest possible error-detecting and error-correcting capability among codes of given length and size. Let p be any prime, and s, m be positive integers. Here, we consider all constacyclic codes of length ps over the ring R D 𝔽pm C uFpm (u2 = 0). The units of the ring R are of the form α + uβ and , where α; γ; 2 𝔽∗p m, which provides pm(pm-1) constacyclic codes. We acquire that the (α + uβ)-constacyclic codes of ps length over R are the ideals h(α0 x-1)ji, 0 ≤ j ≤ 2 ps, of the -nite chain ring R[x]=hxps (αC uβ)i and the-constacyclic codes of ps length over R are the ideals of the ring R[x]=hxps γ i which is a local ring with the maximal ideal hu; x γ 0i, but it is not a chain ring. In this paper, we obtain all MDS symbol-pair constacyclic codes of length ps over R. We deduce that the MDS symbol-pair constacyclic codes are the trivial ideal h1i and the Type 3 ideal of-constacyclic codes for some particular values of p and s. We also present several parameters including the exact symbol-pair distances of MDS constacyclic symbol-pair codes for different values of p and s.en_US
dc.subjectComputer Scienceen_US
dc.subjectMaterials Scienceen_US
dc.titleMDS Symbol-Pair Repeated-Root Constacylic Codes of Prime Power Lengths over 𝔽pm C u𝔽pmen_US
article.title.sourcetitleIEEE Accessen_US
article.volume7en_US Universityen_US Institute of Technology (Indian School of Mines), Dhanbaden_US Mongkut s University of Technology Thonburien_US Mai Universityen_US
Appears in Collections:CMUL: Journal Articles

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