Facebook Instagram Twitter RSS Feed PodBean Back to top on side

Classification of resolvable balanced incomplete block desings—The unitals on 28 points

In: Mathematica Slovaca, vol. 59, no. 2
Petteri Kaski - Patric R. J. Östergård
Detaily:
Rok, strany: 2009, 121 - 136
Kľúčové slová:
classification, RBIBD, resolution, Steiner system, unital
O článku:
Approaches 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.
Ako citovať:
ISO 690:
Kaski, P., Östergård, P. 2009. Classification of resolvable balanced incomplete block desings—The unitals on 28 points. In Mathematica Slovaca, vol. 59, no.2, pp. 121-136. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0113-8

APA:
Kaski, P., Östergård, P. (2009). Classification of resolvable balanced incomplete block desings—The unitals on 28 points. Mathematica Slovaca, 59(2), 121-136. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0113-8
O vydaní: