scholarly journals Supplementary difference sets with symmetry for Hadamard matrices

2009 ◽  
pp. 557-569 ◽  
Author(s):  
Dragomir Ž. Đoković
Keyword(s):  
Difference Sets ◽  
Hadamard Matrices ◽  
Supplementary Difference Sets ◽  
Supplementary Difference

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.

Sign in / Sign up

Export Citation Format

Share Document