A technique for constructing divisible difference sets |
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Authors: | Yury J Ionin |
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Institution: | (1) Central Michigan University, 48859 Mount Pleasant, Michigan, USA |
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Abstract: | An (m, n, k, 1, 2) divisible difference set in a groupG of ordermn relative to a subgroupN of ordern is ak-subsetD ofG such that the list {xy–1:x, y D} contains exactly 1 copies of each nonidentity element ofN and exactly 2 copies of each element ofG N. It is called semi-regular ifk >
1 and k2=mn 2. We develop a method for constructing a divisible difference set as a product of a difference set and a relative difference set or a difference set and a subset ofG which we call a relative divisible difference set. The method results in several parametrically new families of semi-regular divisible difference sets. |
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