scholarly journals Constructing near-Hadamard designs with (almost) D-optimality by general supplementary difference sets

2017 ◽  
Author(s):  
Yuan-Lung Lin and ◽  
Frederick Kin Hing Phoa
Keyword(s):  
Difference Sets ◽  
Supplementary Difference Sets ◽  
Supplementary Difference ◽  
Hadamard Designs

scholarly journals Optimal designs, supplementary difference sets and multipliers

1997 ◽  
Vol 62 (1) ◽  
pp. 81-90 ◽  
Author(s):  
C. Koukouvinos ◽  
Jennifer Seberry ◽  
A.L. Whiteman ◽  
Ming-yuan Xia
Keyword(s):  
Difference Sets ◽  
Optimal Designs ◽  
Supplementary Difference Sets ◽  
Supplementary Difference

scholarly journals Existence criteria for supplementary difference sets

1976 ◽  
Vol 21 (4) ◽  
pp. 438-446
Author(s):  
Emma Lehmer
Keyword(s):  
Difference Sets ◽  
Supplementary Difference Sets ◽  
Supplementary Difference ◽  
Existence Criteria

AbstractConditions are found for the existence of supplementary difference sets consisting of cosets of e-th power residues modulo a prime p. For e = 4, 6 and 8 all known pairs of sets are listed in the summary.

scholarly journals A family of supplementary difference sets

1974 ◽  
Vol 11 (1) ◽  
pp. 1-4 ◽  
Author(s):  
Emma Lehmer
Keyword(s):  
Difference Sets ◽  
Supplementary Difference Sets ◽  
Supplementary Difference

This note exhibits a family of m – (ν, k, λ) supplementary difference sets with parameters ν = 2mf + 1, where ν = p is a prime and f is odd, k = mf and λ = m(mf−1)/2. These sets are composed of a union of cosets of 2m-th power residues of p.

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