on the publication serverTitle data
Braun, Michael ; Kiermaier, Michael ; Laue, Reinhard:
New 2-designs over finite fields from derived and residual designs.
In: Advances in Mathematics of Communications.
Vol. 13
(2019)
Issue 1
.
- pp. 165-170.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2019010
Abstract in another language
Based on the existence of designs for the derived and residual parameters of admissible parameter sets of designs over finite fields we obtain a new infinite series of designs over finite fields for arbitrary prime powers q with parameters 2-(8,4,((q⁶−1)(q³−1))/((q²−1)(q−1));q) as well as designs with parameters 2-(10,4,85λ;2), 2-(10,5,765λ;2), 2-(11,5,6205λ;2), 2-(11,5,502605λ;2), and 2-(12,6,423181λ;2) for λ=7,12,19,21,22,24,31,36,42,43,48,49,55,60,63.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | q-analog; designs over finite fields; residual design; derived design |
| Subject classification: | Mathematics Subject Classification: Primary: 51E20; Secondary: 05B05, 05B25 |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 20 Dec 2018 08:05 |
| Last Modified: | 20 Jan 2022 12:28 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/46749 |
