Cengellenmis, Yasemin2024-06-122024-06-1220090972-05292169-0065https://doi.org/10.1080/09720529.2009.10698233https://hdl.handle.net/20.500.14551/21425It is extended a result of [5] to codes over the commutative ring IFp + uIF(p) + u(2)IFp where u(3) = 0. A new Gray map between codes over IFp + uIF(p) + u(2)IFp and IFp is defined. It is proved that the Gray image of the linear (1 - u(2))-cyclic code over the commutative ring IFp + uIF(p) + u(2)IF(p) of length n is a distance-invariant quasi-cyclic code of index p and length p(2)n over IFp. And it is proved that if (n, p) = 1, then every code of length p(2)n over IFp which is the Gray image of a linear cyclic code of length n over IFp + uIF(p) + u(2)IF(p) is permutation equivalent to a quasi-cyclic code of index p.en10.1080/09720529.2009.10698233info:eu-repo/semantics/closedAccessGray MapCyclic CodesArticle122239243N/AWOS:0002133919000112-s2.0-80052191081Q3