On Mon, Jan 21, 2019, 06:00 <math-fun-request@mailman.xmission.com wrote:

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Today's Topics:

1. Perfect nonlinear functions n=2m (Henry Baker)

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Message: 1 Date: Sun, 20 Jan 2019 09:25:05 -0800 From: Henry Baker <hbaker1@pipeline.com> To: math-fun@mailman.xmission.com Subject: [math-fun] Perfect nonlinear functions n=2m Message-ID: <E1glGqe-000DPR-UN@elasmtp-curtail.atl.sa.earthlink.net> Content-Type: text/plain; charset="us-ascii"

In Nyberg's 1991 paper, she proves that a perfect nonlinear binary S-box must have an input dimension at least twice that of the output dimension.

I'm trying to construct the most trivial versions of her theorem: i.e., n=2*m, m=1, 2, 3, etc.

Has anyone here done such a thing?

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