Enumeration of (16,4,16,4) relative difference sets (Q1953465)
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scientific article; zbMATH DE number 6171911
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Enumeration of (16,4,16,4) relative difference sets |
scientific article; zbMATH DE number 6171911 |
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Enumeration of (16,4,16,4) relative difference sets (English)
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7 June 2013
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Summary: A complete enumeration of relative difference sets (RDS) with parameters \((16,4,16,4)\) in a group of order 64 with a normal subgroup \(N\) of order 4 is given. If \(N = Z_4\), three of the 11 abelian groups of order 64, and 23 of the 256 nonabelian groups of order 64 contain \((16,4,16,4)\)-RDSs. If \(N = Z_2 \times Z_2\), nine of the abelian groups and 194 of the non-abelian groups of order 64 contain \((16,4,16,4)\)-RDSs.
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relative difference set
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RDS
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symmetric net
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automorphism group
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