Classification of resolvable balanced incomplete block designs: the unitals on 28 points

Petteri Kaski, Patric R. J Östergård

Research output: Contribution to journalArticleScientificpeer-review

Abstract

"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."
Original languageEnglish
JournalMathematica Slovaca
Volume59
Pages (from-to)121-136
Number of pages16
ISSN0139-9918
DOIs
Publication statusPublished - 2009
MoE publication typeA1 Journal article-refereed

Fields of Science

  • 113 Computer and information sciences

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