New quasi-symmetric designs by the Kramer–Mesner method

A t-(v,k,λ) design is quasi-symmetric if there are only two block intersection sizes. We adapt the Kramer–Mesner construction method for designs with prescribed automorphism groups to the quasi-symmetric case. Using the adapted method, we find many new quasi-symmetric 2-(28,12,11) and 2-(36,16,12) d...

Full description

Saved in:
Bibliographic Details
Published in:Discrete mathematics 2016-12, Vol.339 (12), p.2884-2890
Main Authors: Krčadinac, Vedran, Vlahović, Renata
Format: Article
Language:English
Subjects:
Kramer–Mesner method
Quasi-symmetric design
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A t-(v,k,λ) design is quasi-symmetric if there are only two block intersection sizes. We adapt the Kramer–Mesner construction method for designs with prescribed automorphism groups to the quasi-symmetric case. Using the adapted method, we find many new quasi-symmetric 2-(28,12,11) and 2-(36,16,12) designs, establish the existence of quasi-symmetric 2-(56,16,18) designs, and find three new unitals 2-(217,7,1) of non-prime power order.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2016.05.030