File:Consecutive bit permutations 24x16, fixed points (sequences).svg

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Summary

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Description
same with the results of applying the permutations

Periodic bit permutations corresponding to the finite permutations shown on the left

The rows are the actual permutations, i.e. entry n in place i means, that i maps to n.
Most related images (like that on the right) show the results of applying the permutations.

Between the row indices on the left and the matrix are the finite permutations describing the respective bit permutations.
(Their fixed points are also highlighted in red.)

The matrix entries in columns 1, 2, 4, 8 are highlighted in bold.
They are the powers of two corresponding to the finite permutation on the left.
(These are Walsh permutations, and the bold entries are their compression vectors. Compare e.g. this file, corresponding to row 3.)


(In a former version of this file the fixed points were highlighted in red, just like in File:Consecutive bit permutations 24x16, fixed points.svg.)

This SVG was created with Inkscape.
This file contains an Inkscape grid, which makes it an invalid SVG.
This does no harm at all, and there is no reason to remove it.
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Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

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I, the copyright holder of this work, hereby publish it under the following license:
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attribution share alike
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Under the following conditions:
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  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Date/TimeThumbnailDimensionsUserComment
current20:05, 8 October 2023Thumbnail for version as of 20:05, 8 October 2023715 × 892 (401 KB)Watchduck (talk | contribs)remove highlighting of fixed points
23:49, 17 November 2022Thumbnail for version as of 23:49, 17 November 2022715 × 892 (405 KB)Watchduck (talk | contribs)Uploaded own work with UploadWizard

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