On distance-regular Cayley graphs on abelian groups

Let G denote a finite abelian group with identity 1 and let S denote an inverse-closed subset of G∖{1}, which generates G and for which there exists s∈S, such that 〈S∖{s,s−1}〉≠G. In this paper we obtain the complete classification of distance-regular Cayley graphs Cay(G;S) for such pairs of G and S.