Enumeration of (16,4,16,4) Relative Difference Sets
Keyword(s):
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.
2004 ◽
Vol 138
(1-2)
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pp. 177-193
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Keyword(s):
2003 ◽
Vol 11
(5)
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pp. 307-311
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2008 ◽
Vol 37
(3)
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pp. 427-435
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1987 ◽
Vol 39
(4)
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pp. 1001-1024
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2005 ◽
Vol 13
(3)
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pp. 211-221
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1990 ◽
Vol 22
(6)
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pp. 533-539
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2008 ◽
Vol 115
(8)
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pp. 1456-1473
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