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Refined Deterministic Algorithm for Biplane Construction
Journal Title CIT. Journal of Computing and Information Technology
Journal Abbreviation CIT
Publisher Group University of Zagreb
Website http://cit.srce.unizg.hr/index.php/CIT
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Title Refined Deterministic Algorithm for Biplane Construction
Authors Martinjak, Ivica; Pavčević, Mario Osvin
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.
Publisher University of Zagreb, University Computing Centre - SRCE
Date 2010-01-01
Source Journal of Computing and Information Technology Vol 18, No 1 (2010)
Rights CIT. Journal of Computing and Information Technology is an open access journal.Authors who publish with this journal agree to the following terms:Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work´s authorship and initial publication in this journal.Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal´s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).

 

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