Relative Difference Sets, Planar Functions, and Generalized Hadamard Matrices Original Research Article

Relative Difference Sets, Planar Functions, and Generalized Hadamard Matrices Original Research Article 505-525 S.L. Ma, A. Pott Close Close preview | Purchase PDF (887 K) | Related articles | Related reference work articles AbstractAbstract Abstract Let R be an abelian (pa, pb, pa, pa−b)-difference set in G relative to N. The main results in this paper are the following: • if = = 2 and is odd, then is elementary abelian; • we characterize relative difference sets with = 2 and = 1; • the exponent of is at most ; • if is odd and is odd, then the exponent is at most .