Title data
Braun, Michael ; Kohnert, Axel ; Östergård, Patric R. J. ; Wassermann, Alfred:
Large sets of t-designs over finite fields.
In: Journal of Combinatorial Theory, Series A.
Vol. 124
(2014)
.
- pp. 195-202.
ISSN 0097-3165
DOI: https://doi.org/10.1016/j.jcta.2014.01.008
Abstract in another language
A t-(n,k,λ;q)-design is a set of k-dimensional subspaces, called blocks, of an n-dimensional vector space V over the finite field with q elements such that each t-dimensional subspace is contained in exactly λ blocks. A partition of the complete set of k-dimensional subspaces of V into disjoint t-(n,k,λ;q) designs is called a large set of t-designs over finite fields. In this paper we give the first nontrivial construction of such a large set with t⩾2.
Further data
Item Type: | Article in a journal |
---|---|
Refereed: | Yes |
Keywords: | q-Analogs; Designs over finite fields; Large sets; Automorphism group |
Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics 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: | 21 Jan 2015 15:02 |
Last Modified: | 13 Mar 2024 12:39 |
URI: | https://eref.uni-bayreuth.de/id/eprint/5786 |