Original scientific paper
https://doi.org/10.2498/cit.1001416
Refined Deterministic Algorithm for Biplane Construction
Ivica Martinjak
Mario-Osvin Pavčević
Abstract
This paper introduces a way of constructing biplanes that uses “filters” in a step prior to an exhaustive computer search, with the objective to make the biplane construction more efficient. The achieved deterministic algorithm classifies biplanes of order 7 and smaller. When performing the search using some additional presumptive conditions, two biplanes of order 9 (k=11) were constructed and a particular inner regularity in the biplane’s structure has been established.
Keywords
Hrčak ID:
59513
URI
Publication date:
30.3.2010.
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