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2008
IEEE

New negative Latin square type partial difference sets in nonelementary abelian 2-groups and 3-groups

9 years 1 months ago
New negative Latin square type partial difference sets in nonelementary abelian 2-groups and 3-groups
A partial difference set having parameters (n2, r(n - 1), n + r2 - 3r, r2 - r) is called a Latin square type partial difference set, while a partial difference set having parameters (n2, r(n+1), -n+r2 +3r, r2 +r) is called a negative Latin square type partial difference set. Nearly all known constructions of negative Latin square partial difference sets are in elementary abelian groups. In this paper, we develop three product theorems that construct negative Latin square type partial difference sets and Latin square type partial difference sets in direct products of abelian groups G and G when these groups have certain Latin square or negative Latin square type partial difference sets. Using these product theorems, we can construct negative Latin square type partial difference sets in groups of the form G = (Z2)4s0 ? (Z4)2s1 ? (Z16)4s2 ? ? ? ? ? (Z22r )4sr where
John B. Polhill
Added 25 Dec 2009
Updated 25 Dec 2009
Type Conference
Year 2008
Where DCC
Authors John B. Polhill
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