Quasi-symmetric designs on 56 points
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2020
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916973444595712 |
|---|---|
| author | Krčadinac, Vedran Kruc, Renata Vlahović |
| author_facet | Krčadinac, Vedran Kruc, Renata Vlahović |
| contents | Computational techniques for the construction of quasi-symmetric block designs are explored and applied to the case with $56$ points. One new $(56,16,18)$ and many new $(56,16,6)$ designs are discovered, and non-existence of $(56,12,9)$ and $(56,20,19)$ designs with certain automorphism groups is proved. The number of known symmetric $(78,22,6)$ designs is also significantly increased. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_05556 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Quasi-symmetric designs on 56 points Krčadinac, Vedran Kruc, Renata Vlahović Combinatorics 05B05 Computational techniques for the construction of quasi-symmetric block designs are explored and applied to the case with $56$ points. One new $(56,16,18)$ and many new $(56,16,6)$ designs are discovered, and non-existence of $(56,12,9)$ and $(56,20,19)$ designs with certain automorphism groups is proved. The number of known symmetric $(78,22,6)$ designs is also significantly increased. |
| title | Quasi-symmetric designs on 56 points |
| topic | Combinatorics 05B05 |
| url | https://arxiv.org/abs/2003.05556 |