Last week’s installment on columnar transposition ciphers described a formula for the underlying permutation for a CTC. If we assume that the number of columns being used divides the length of the ...
Cycle Permutation Graphs This repository contains three programs which were created for the article "J. Goedgebeur, J. Renders, S. Van Overberghe, Generation of Cycle Permutation Graphs and ...
Abstract: Permutation models a genome. Transposition models the corresponding genomic mutation and nature is presumed to be parsimonious. Thus, transforming a given permutation π into another ...
" image=perm[image] # find next cycle entry\n", "A permutation on a set of numbers {0,...,n-1} is a function from {0,...n-1} into itself such that no two numbers are mapped on the same image. For ...
Not every permutation is a cycle, e.g. \[ \begin{pmatrix} 1&2&3&4\\ 2&1&4&3 \end{pmatrix}. \] On the other hand, as we will prove in this section, any permutation can be written as a product of ...
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ABSTRACT: The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the ...
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