New families of perfect nonlinear polynomial functions

Zhengbang Zha,Xueli Wang

doi:10.1016/j.jalgebra.2009.04.042

New families of perfect nonlinear polynomial functions

Zhengbang Zha, Xueli Wang

Open Access

https://doi.org/10.1016/j.jalgebra.2009.04.042

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Journal: Journal of Algebra	Publication Date: May 23, 2009
Citations: 23	License type: elsevier-specific: oa user license

Affiliation: Luoyang Normal University, South China Normal University

#Perfect Nonlinear Functions #Perfect Nonlinear + Show 5 more

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Abstract

A new class of almost perfect nonlinear (APN) polynomial functions has been recently introduced. We give some generalizations of these functions and deduce new families of perfect nonlinear (PN) functions. We show that these PN functions are CCZ-inequivalent to the known perfect nonlinear functions.

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