Cyclic difference sets with parameters \((511,255,127)\) (Q1332389)
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scientific article; zbMATH DE number 637637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cyclic difference sets with parameters \((511,255,127)\) |
scientific article; zbMATH DE number 637637 |
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Cyclic difference sets with parameters \((511,255,127)\) (English)
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1 December 1994
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We describe the (equivalence classes of) cyclic difference sets with parameters (511, 255, 127). There are five non-isomorphic such classes which are listed at the end of this note. We give also a version of their triple intersection polynomial (our version differs by a numerical factor from the polynomial used in [\((*)\) \textit{S. Eliahou} and \textit{M. Kervaire}, Enseign. Math., II. Sér. 38, No. 3/4, 345-382 (1992; Zbl 0777.05024)]). The first and second belong to known families and are obtained by a geometric construction and by the GMW-construction described (for example) in \((*)\). The last three appear to be exotic.
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cyclic difference sets
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triple intersection polynomial
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GMW-construction
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