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A multilevel construction for mappings from binary sequences to permutation sequences
Conference paper   Open access

A multilevel construction for mappings from binary sequences to permutation sequences

Theo G. Swart and Hendrik C. Ferreira
2006
Handle:
https://hdl.handle.net/10210/18365

Abstract

Mappings Binary sequences Permutation sequences
Abstract: A multilevel construction is introduced to create distance-preserving mappings from binary sequences to permutation sequences. It is also shown that for certain values, the new mappings attain the upper bound on the sum of Hamming distances obtainable for such mappings, and in the other cases improve on those of previous mappings.
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