A Family of Partial Geometric Designs from Three-Class Association Schemes

2016 ◽  
Vol 24 (12) ◽  
pp. 533-552 ◽  
Author(s):  
Kathleen Nowak ◽  
Oktay Olmez ◽  
Sung Y. Song
Keyword(s):  
Association Schemes ◽  
Partial Geometric Designs ◽  
Geometric Designs

scholarly journals Optimality of partial geometric designs

2001 ◽  
Vol 29 (1) ◽  
pp. 577-594 ◽  
Author(s):  
Bhaskar Bagchi ◽  
Sunanda Bagchi
Keyword(s):  
Partial Geometric Designs ◽  
Geometric Designs

scholarly journals Partial geometric designs from group actions

2019 ◽  
Vol 87 (11) ◽  
pp. 2655-2670
Author(s):  
Jerod Michel ◽  
Qi Wang
Keyword(s):  
Group Actions ◽  
Partial Geometric Designs ◽  
Geometric Designs

scholarly journals Partial geometric designs and two-class partially balanced designs

1978 ◽  
Vol 21 (2) ◽  
pp. 97-101 ◽  
Author(s):  
R.C. Bose ◽  
W.G. Bridges ◽  
M.S. Shrikhande
Keyword(s):  
Balanced Designs ◽  
Partial Geometric Designs ◽  
Geometric Designs

Partial geometric designs with prescribed automorphisms

2015 ◽  
Vol 80 (3) ◽  
pp. 435-451 ◽  
Author(s):  
Kathleen Nowak ◽  
Oktay Olmez
Keyword(s):  
Partial Geometric Designs ◽  
Geometric Designs

Constructions of 112-Designs from Unitary Geometry over Finite Fields

2017 ◽  
Vol 24 (03) ◽  
pp. 381-392
Author(s):  
Rongquan Feng ◽  
Liwei Zeng ◽  
Yang Zhang
Keyword(s):  
Finite Fields ◽  
Strongly Regular Graphs ◽  
Regular Graphs ◽  
Unitary Space ◽  
Strongly Regular ◽  
Isotropic Subspaces ◽  
Partial Geometric Designs ◽  
Totally Isotropic Subspaces ◽  
Geometric Designs ◽  
Directed Strongly Regular Graphs

In this paper, we construct some [Formula: see text]-designs, which are also known as partial geometric designs, using totally isotropic subspaces of the unitary space. Furthermore, these [Formula: see text]-designs yield six infinite families of directed strongly regular graphs.

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