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Original scientific paper

https://doi.org/10.2498/cit.1001416

Refined Deterministic Algorithm for Biplane Construction

Ivica Martinjak
Mario-Osvin Pavčević


Full text: english pdf 339 Kb

page 45-52

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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

https://hrcak.srce.hr/59513

Publication date:

30.3.2010.

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