The 3-GDDs of type $g^3u^2$

Charles J. Colbourn, Melissa S. Keranen, Donald L. Kreher
2016 Journal of Algebra Combinatorics Discrete Structures and Applications  
A 3-gdd of type g 3 u 2 exists if and only if g and u have the same parity, 3 divides u and u ≤ 3g. Such a 3-gdd of type g 3 u 2 is equivalent to an edge decomposition of Kg,g,g,u,u into triangles.
doi:10.13069/jacodesmath.52790 fatcat:tz5ooxxe4ne7hovghknqfkmcla