to: math-fun-owner@mailman.xmission.com date: Jan 21, 2019, 12:44 PM subject: Sorry last email from me sent in error Please ignore the last email I sent to the group, it was sent in error. On Tue, Jan 22, 2019 at 6:00 AM <math-fun-request@mailman.xmission.com> wrote:
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1. Re: Perfect nonlinear functions n=2m (Fred Lunnon) 2. Re: math-fun Digest, Vol 191, Issue 31 (Stuart Anderson)
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Message: 1 Date: Sun, 20 Jan 2019 21:14:43 +0000 From: Fred Lunnon <fred.lunnon@gmail.com> To: math-fun <math-fun@mailman.xmission.com> Subject: Re: [math-fun] Perfect nonlinear functions n=2m Message-ID: <CAN57Yqs9yN9OyX-LreSgDZM5j-sZj9kbXFzC= HUs57p1wiKxOg@mail.gmail.com> Content-Type: text/plain; charset="UTF-8"
Kaisa Nyberg (1991) on DES attacks is freely on available at https://link.springer.com/content/pdf/10.1007/3-540-46416-6_32.pdf
WFL
On 1/20/19, Henry Baker <hbaker1@pipeline.com> wrote:
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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Message: 2 Date: Mon, 21 Jan 2019 12:41:21 +1100 From: Stuart Anderson <stuart.errol.anderson@gmail.com> To: math-fun@mailman.xmission.com Cc: adam <rainbowflat@gmail.com> Subject: Re: [math-fun] math-fun Digest, Vol 191, Issue 31 Message-ID: <CA+3-r9O=HO= o-Ly_gQAQVi4fH0L-RiKfAstHDK36826Y8OSsdA@mail.gmail.com> Content-Type: text/plain; charset="UTF-8"
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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