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OBIBDs (Orthogonal Balanced Incomplete Block Designs)
Overview
Definition
Constructions ▼
Existence ▼
Properties ▼
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Overview
From doubly homogeneous groups
▶
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
m
values for use in OBIBD construction for OBIBDs with
k
= 7 and λ = 1
t
v
x
m
79
3319
6
237
249
10459
2
19
285
11971
10
305
311
13063
5
1646,1735
389
16339
2
2069