More missing entries in Lander's table could be filled (Q580346)
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scientific article; zbMATH DE number 4016911
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | More missing entries in Lander's table could be filled |
scientific article; zbMATH DE number 4016911 |
Statements
More missing entries in Lander's table could be filled (English)
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1988
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By proving a lemma on intersection numbers of a difference set relative to a subgroup of the underlying group, we prove the nonexistence of six difference sets, without the aid of an electronic device. We also exhibit (63,28,12) difference sets in \(Z_ 8\times Z_ 8\) and \(Z_ 4\times Z_{16}\). Thus eight more missing entries in Lander's table can be filled, six with answer ''no'' and two with ''yes''.
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multipliers
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intersection numbers
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difference set
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Lander's table
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