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 |
| 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 |
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