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Classification of resolvable balanced incomplete block designs — the unitals on 28 points
2009
Mathematica Slovaca
AbstractApproaches for classifying resolvable balanced incomplete block designs (RBIBDs) are surveyed. The main approaches can roughly be divided into two types: those building up a design parallel class by parallel class and those proceeding point by point. With an algorithm of the latter type — and by refining ideas dating back to 1917 and the doctoral thesis by Pieter Mulder — it is shown that the list of seven known resolutions of 2-(28, 4, 1) designs is complete; these objects are also known as the resolutions of unitals on 28 points.
doi:10.2478/s12175-009-0113-8
fatcat:soxakboa5jemlb46mri2eqmtmi