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Three-class association schemes from partial geometric designs

2021 ◽  
Vol 344 (4) ◽  
pp. 112290
Author(s):  
Jing Qu ◽  
Jianguo Lei
Keyword(s):  
Association Schemes ◽  
Partial Geometric Designs ◽  
Geometric Designs

Partial geometric designs with block sizes three and four

2021 ◽  
Author(s):  
Jing Qu ◽  
Jianguo Lei ◽  
Xiuling Shan
Keyword(s):  
Partial Geometric Designs ◽  
Block Sizes ◽  
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

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.

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

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

scholarly journals Partial geometric designs and difference families

2015 ◽  
Author(s):  
Kathleen Elizabeth Nowak
Keyword(s):  
Difference Families ◽  
Partial Geometric Designs ◽  
Geometric Designs

scholarly journals Combinatorial designs with two singular values II. Partial geometric designs

2005 ◽  
Vol 396 ◽  
pp. 303-316 ◽  
Author(s):  
E.R. van Dam ◽  
E. Spence
Keyword(s):  
Singular Values ◽  
Combinatorial Designs ◽  
Partial Geometric Designs ◽  
Geometric Designs
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