Generalized bent functions with perfect nonlinear functions on arbitrary groups

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2012

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Yılmaz, Emrah Sercan

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This thesis depends on the paper ‘Non-Boolean Almost Perfect Nonlinear Functions on Non- Abelian Groups’ by Laurent Poinsot and Alexander Pott and we have no new costructions here. We give an introduction about character theory and the paper of Poinsot and Pott, and we also compare previous definitions of bent functions with the definition of the bent function in the paper. As a conclusion, we give new theoretical definitions of bent, PN, APN ana maximum nonlinearity. Moreover, we show that bent and PN functions are not always same in the non-abelian cases.

Subject Keywords

Algebraic functions.

URI

http://etd.lib.metu.edu.tr/upload/12614839/index.pdf
https://hdl.handle.net/11511/21785

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Graduate School of Applied Mathematics, Thesis

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Citation Formats

E. S. Yılmaz, “Generalized bent functions with perfect nonlinear functions on arbitrary groups,” M.S. - Master of Science, Middle East Technical University, 2012.