Affine difference sets of even order
نویسندگان
چکیده
منابع مشابه
Cyclic affine planes and Paley difference sets
Arasu, K.T. and A. Pott, Cyclic affine planes and Paley difference sets, Discrete Mathematics 106/107 (1992) 19-23. The existence of a cyclic affine plane implies the existence of a Paley type difference set. We use the existence of this difference set to give the following condition on the existence of cyclic affine planes of order n: If n 8 mod 16 then n 1 must be a prime. We discuss the stru...
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Let D be an affine difference set of order n in an abelian group G relative to a subgroup N . Set H̃ = H \ {1, ω}, where H = G/N and ω = ∏ σ∈H σ. Using D we define a two-to-one map g from H̃ to N . The map g satisfies g(σ) = g(σ) and g(σ) = g(σ−1) for any multiplier m of D and any element σ ∈ H̃. As applications, we present some results which give a restriction on the possible order n and the grou...
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This paper considers the problem of determining which of the 56092 groups of order 256 contain (256, 120, 56, 64) difference sets. John Dillon at the National Security Agency communicated 724 groups which were still open as of August 2012. In this paper, we present a construction method for groups containing a normal subgroup isomorphic to Z4 × Z4 × Z2. This construction method was able to prod...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1989
ISSN: 0097-3165
DOI: 10.1016/0097-3165(89)90029-0