Cyclic affine planes and Paley difference sets (Q1199576)
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scientific article; zbMATH DE number 94503
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cyclic affine planes and Paley difference sets |
scientific article; zbMATH DE number 94503 |
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Cyclic affine planes and Paley difference sets (English)
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16 January 1993
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Embedded in a fine discussion of Paley type difference sets there is the proof that if the order \(n\) of a cyclic affine plane is congruent to \(8\bmod 16\) then \(n-1\) must be a prime. If the ideal (in \(GF(2)G)\) generated by a \((4n-1,\;2n-1,\;n-1)\)-difference set \(D\) contained in the abelian group \(G\) and having multiplier 2 has dimension \(2n\) then \(4n-1\) is a prime power.
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prime power conjecture
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Paley difference sets
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cyclic affine planes
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0.8797364
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0.87789315
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0.8767439
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0.87047696
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