Families of modular arithmetic progressions with an interval of distance multiplicities

Peter J Dukes, Tao Gaede

Given a family $\mathcal{F}=\{A_1,\dots ,A_s\}$ of subsets of ${\mathbb{Z}}_n$, define $\Delta \mathcal{F}$ to be the multiset of all (cyclic) distances dist$(x,y)$, where $\{x,y\} \subset…