Original scientific paper

https://doi.org/10.3336/gm.45.2.01

Primitive symmetric designs with at most 255 points

Snježana Braić ; University of Split, Faculty of Science and Mathematics, Teslina 12/III, 21000 Split, Croatia

Abstract

In this paper we either prove the non-existence or give explicit construction of all (v, k, λ) symmetric designs with primitive automorphism groups of degree v ≤ 255. We prove that, up to isomorphism, there exist exactly 142 such designs. The research involves programming and wide-range computations. We make use of software package GAP and the library of primitive groups which it contains.

Keywords

Symmetric design; primitive automorphism group; difference set

Hrčak ID:

62689

URI

https://hrcak.srce.hr/62689

Publication date:

24.12.2010.

Visits: 1.320 *