Combinatorial Coding and Lexicographic Ordering

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Combinatorial Coding and Lexicographic Ordering
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Aggiornato 20 feb 2018

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The Matlab routines in this package generate a combinatorial index of a selection of items and decode the code to produce the corresponding selection of items. Marching through the combinatorial indices produces lexicographically ordered selections. Three cases are supported: selections with no repeated items, selections with repetitions, and selections with prescribed repetition multiplicities.
The first and third cases are described in:
[1] J. P. M. Schalkwijk, “An Algorithm for Source Coding”, IEEE Trans. Inform. Theory, Vol. IT-18, no. 2, pp. 393-399, May 1972.
The second case and the theory behind all three case are described in:
[2] P. Kabal, “Combinatorial Coding and Lexicographic Ordering”, Technical Report, Dept. Electrical & Computer Engineering, McGill University, Feb. 2018 (available on-line at www-MMSP.ECE.McGill.CA).

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Peter Kabal (2024). Combinatorial Coding and Lexicographic Ordering (https://www.mathworks.com/matlabcentral/fileexchange/66130-combinatorial-coding-and-lexicographic-ordering), MATLAB Central File Exchange. Recuperato .

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Combinatorics 2018-02-20/

Combinatorics 2018-02-20/test/

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