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• W2024156986 abstract "Following an example in [12],we show how to change one coordinate function of analmost perfect nonlinear(APN) function in order to obtain new examples. It turns out thatthis is a very powerful method to construct newAPN functions. In particular, we show that our approach canbe used to construct a ''non-quadratic'' APN function.This new exampleis in remarkable contrast to all recently constructed functions whichhave all been quadratic.An equivalent function has been found independentlyby Brinkmann and Leander [8]. However, theyclaimed that their function is CCZ equivalent to a quadratic one. In thispaper we give several reasonswhy this new function is not equivalent to a quadratic one." @default.
• W2024156986 created "2016-06-24" @default.
• W2024156986 creator A5013787536 @default.
• W2024156986 creator A5063337191 @default.
• W2024156986 date "2009-01-01" @default.
• W2024156986 modified "2023-10-17" @default.
• W2024156986 title "A new almost perfect nonlinear function which is not quadratic" @default.
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• W2024156986 doi "https://doi.org/10.3934/amc.2009.3.59" @default.
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