Dual bent functions on finite groups and C-algebras

• Bangteng Xu ^[1]
  1. [1] Eastern Kentucky University

     Eastern Kentucky University

     Estados Unidos

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 3 (March 2016), 2016, págs. 1055-1073
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.08.007
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• Resumen

  • The dual of a (bent) function on a finite abelian group is a natural concept. In this paper we study the dual bent functions on finite nonabelian groups. A more general algebraic structure of a C-algebra provides a better and natural context for this purpose. We will first study Fourier transforms, bent functions, and dual bent functions on C-algebras. Then as an application, we obtain the properties of dual bent functions on finite nonabelian groups. Examples of bent functions on C-algebras are also presented.