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Hanaki [A. Hanaki, Representations of association schemes and their factor schemes, Graphs Combin. 19 (2003) 195–201; A. Hanaki, Characters of association schemes and normal closed subsets, Graphs Combin. 19 (2003) 363–369] generalized many properties of characters of finite groups to characters of association schemes. In this paper we show that many of… (More)
Let G, H be finite groups and let X be a finite G-set. G-perfect nonlinear functions from X to H have been studied in several papers. They have more interesting properties than perfect nonlinear functions from G itself to H. By introducing the concept of a (G, H)-related difference family of X, we obtain a characterization of G-perfect nonlinear functions… (More)
This paper introduces new classes of generalized invex monotone mappings and invex co-coercive mappings. Their differential property and role to analyze and solve variational-like inequality problem are presented.
Let G be a finite abelian group acting faithfully on a finite set X. As a natural generalization of the perfect nonlinearity of Boolean functions, the G-bentness and G-perfect nonlinearity of functions on X are studied by Poinsot et al. [6, 7] via Fourier transforms of functions on G. In this paper we introduce the so-called G-dual set X of X, which plays… (More)