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OBIBDs (Orthogonal Balanced Incomplete Block Designs)
Overview
Definition
Constructions ▼
Existence ▼
Properties ▼
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Overview
From doubly homogeneous groups
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Designs with λ=1 and k>3
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Geometric construction
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Construction from rings
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Overview
Applet for k=3
Overview
Related designs
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Geometric Examples
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Difference Squares
Overview
v=8
v=12
v=16
v=18
v=20
Construction: k=3
Construction: k>3
Table of multipliers: k=3
Table of multipliers: k=5
Table of multipliers: k=7
Table of multipliers: k>7
Applet to get multiplier
Applet to get blocks
Construction
Example
Construction contd
Example contd
Construction
Table of multipliers: k=5
Table of multipliers: k=7
Construction
Examples
Table of multipliers
Discussion
Difference patterns
OBIBD from a PG
OBIBD from a Netto BIBD
Correlations
OBIBDs with v = 12
1-rotational OBIBDs with v=12
v
b
r
k
Found
Comments
Where
12
22
11
6
404
here
12
33
11
4
0
Do exist
12
44
11
3
0
No search
12
66
11
2
40
here