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New 2-designs over finite fields from derived and residual designs

Title 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 (February 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
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 Dec 2018 08:05
URI: https://eref.uni-bayreuth.de/id/eprint/46749