at Google ScholarTitle data
Kohnert, Axel:
Sets of type (d₁,d₂) in projective Hjelmslev planes over Galois rings.
In:
Klin, Mikhail (Hrsg.): Algorithmic algebraic combinatorics and Gröbner bases. -
Berlin; Heidelberg
: Springer
,
2009
. - pp. 269-278
ISBN 978-3-642-01959-3
DOI: https://doi.org/10.1007/978-3-642-01960-9_9
Abstract in another language
In this paper we construct sets of type (d₁, d₂) in the projective Hjelmslev plane. For computational purposes we restrict ourself to planes over Z_(p^s) with p a prime and s > 1, but the method is described over general Galois rings. The existence of sets of type (d₁, d₂) is equivalent to the existence of a solution of a Diophantine system of linear equations. To construct these sets we prescribe automorphisms, which allows to reduce the Diophantine system to a feasible size. At least two of the newly constructed sets are ‘good’ u-arcs. The size of one of them is close to the known upper bound.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| Keywords: | Projective Hjelmslev plane; Two-weight codes; Arcs |
| 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: | 21 Jan 2015 15:31 |
| Last Modified: | 27 Jan 2015 13:09 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/5789 |