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Abstract
We give a construction of semi-regular divisible difference sets with parameters m = p2a(r-1)+2b(pr - 1)/(p - 1), n = pr, k = p(2a+1)(r-1)+2b(pr - 1)/(p - 1), λ1 = p(2a+1)(r-1)+2b(pr-1 - 1)/(p - 1), λ2 = p2(a+1)(r-1)-r+2b(pr - 1)/(p - 1), where p is a prime and r ≥ a + 1.
Keywords
Difference set, Divisible design, Divisible difference set, Finite group, Singer group
Source Title
Designs, Codes, and Cryptography
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Date
1997
DOI
Type
Article