Group divisible designs with block size 4 and group sizes 4 and 7

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Název: Group divisible designs with block size 4 and group sizes 4 and 7
Autoři: Abel, RJR, Britz, T, Bunjamin, YA, Combe, D
Zdroj: Journal of Combinatorial Designs. 32:328-346
Publication Status: Preprint
Informace o vydavateli: Wiley, 2024.
Rok vydání: 2024
Témata: anzsrc-for: 0804 Data Format, anzsrc-for: 46 Information and Computing Sciences, 4904 Pure Mathematics, 0102 computer and information sciences, 02 engineering and technology, anzsrc-for: 4613 Theory Of Computation, 01 natural sciences, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, 4613 Theory Of Computation, anzsrc-for: 49 Mathematical Sciences, 05B05, 46 Information and Computing Sciences, 49 Mathematical Sciences, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), anzsrc-for: 0802 Computation Theory and Mathematics
Popis: In this paper, we consider the existence of group divisible designs (GDDs) with block size and group sizes and . We show that there exists a ‐GDD of type for all but a finite specified set of feasible values for .
Druh dokumentu: Article
Popis souboru: application/pdf
Jazyk: English
ISSN: 1520-6610
1063-8539
DOI: 10.1002/jcd.21932
DOI: 10.48550/arxiv.2309.12823
Přístupová URL adresa: http://arxiv.org/abs/2309.12823
Rights: CC BY
Přístupové číslo: edsair.doi.dedup.....6b80230996f89fe00a15c61c7a92ac20
Databáze: OpenAIRE
Popis
Abstrakt:In this paper, we consider the existence of group divisible designs (GDDs) with block size and group sizes and . We show that there exists a ‐GDD of type for all but a finite specified set of feasible values for .
ISSN:15206610
10638539
DOI:10.1002/jcd.21932