File:4-ary noble Boolean functions.svg

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Summary

Description

This is row 4 of triangle Sloane'sA358167, showing the 256 fixed points in Zhegalkin permutation Ж4 (which has length 65536).

The columns of the 16×256 matrix are the fixed points.
The rows are Walsh functions, i.e. XORs like (which is in row 3).
The 16×8 matrix on the left indicates the arguments in the XOR (and the row number in this Walsh matrix).
Its upper half shows a Sierpiński triangle without the main diagonal, and the lower half shows the main diagonal.
(Hence the lower half of the 16×256 matrix is identical to the gray index matrix on top.)

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Date
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions
16 fixed points in Ж3
64 royal among the 256 noble functions

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1 November 2022

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current09:31, 28 August 2025Thumbnail for version as of 09:31, 28 August 20252,780 × 240 (8 KB)wikimediacommons>Watchduckremove gray index matrices

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