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New families of perfect nonlinear polynomial functions |
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| Authors: | Zhengbang Zha Xueli Wang |
| Institution: | aSchool of Mathematical Sciences, Luoyang Normal University, Luoyang 471022, China;bSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, China |
| 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. |
| Keywords: | Almost perfect nonlinear functions Perfect nonlinear functions Planar functions Differential uniformity |
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