On Mutually Orthogonal Resolutions and Near-Resolutions

In this paper, we are interested in multiple resolutions and near-resolutions of balanced incomplete block designs. These resolutions must satisfy an orthogonality condition. Some of the known results are presented and some new families of mutually orthogonal near-resolutions of (ν, κ, κ − 1)-BIBDs, including a complete listing of cyclic near-resolutions for all cyclic (16,3,2)-BIBDs are given.