Kuruz, FerhatSari, MustafaKoroglu, Mehmet E.2024-09-112024-09-1120221533-7146https://doi.org/10.26421/QIC22.5-6-4https://hdl.handle.net/11363/8049Due to their rich algebraic structure, cyclic codes have a great deal of significance amongst linear codes. Duadic codes are the generalization of the quadratic residue codes, a special case of cyclic codes. The m-adic residue codes are the generalization of the duadic codes. The aim of this paper is to study the structure of the m-adic residue codes over the quotient ring F-q[v]/< v(s)-v >. We determine the idempotent generators of the m-adic residue codes over F-q[v]/< v(s)-v >. We obtain some parameters of optimal m-adic residue codes over F-q[v]/< v(s)-v > with respect to Griesmer bound for rings. Furthermore, we derive a condition for m-adic residue codes over F-q [v]/< v(s)-v > to contain their dual. By making use of a preserving-orthogonality Gray map, we construct a family of quantum error correcting codes from the Gray images of dual-containing m-adic residue codes over F-q[v]/< v(s)-v > and give some examples to illustrate our findings.eninfo:eu-repo/semantics/openAccessm-adic residue codesCyclic codesQuadratic residue codesCSS constructionQuantum codesArticle225-642743910.26421/QIC22.5-6-42-s2.0-85130069552WOS:000834672400004Q3