On a mnemonic construction of permutations
In the past when only “paper and pencil” ciphers were in use, a mnemonic Bellaso’s method was applied to obtain a permutation from a meaningful phrase. It turns out that even nowadays this method and its variations are employed and provide a simple but at the same time efficient tool for some cipher...
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doaj-dff44ca41b704c62845e967bfc81ec932021-09-06T19:40:44ZengDe GruyterJournal of Mathematical Cryptology1862-29761862-29842017-03-01111455310.1515/jmc-2016-0058On a mnemonic construction of permutationsAntal Eugen0Grošek Otokar1Horak Peter2Slovak University of Technology, Bratislava, SlovakiaSlovak University of Technology, Bratislava, SlovakiaUniversity of Washington, Tacoma, WA, USAIn the past when only “paper and pencil” ciphers were in use, a mnemonic Bellaso’s method was applied to obtain a permutation from a meaningful phrase. It turns out that even nowadays this method and its variations are employed and provide a simple but at the same time efficient tool for some ciphers. To the best of our knowledge the security of such ciphers has not been evaluated yet in all respects. Therefore, in this paper we initiate a study of their security with respect to the probability distribution of permutations obtained by Bellaso’s method.https://doi.org/10.1515/jmc-2016-0058eulerian numberscryptographypermutations05c99 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Antal Eugen Grošek Otokar Horak Peter |
spellingShingle |
Antal Eugen Grošek Otokar Horak Peter On a mnemonic construction of permutations Journal of Mathematical Cryptology eulerian numbers cryptography permutations 05c99 |
author_facet |
Antal Eugen Grošek Otokar Horak Peter |
author_sort |
Antal Eugen |
title |
On a mnemonic construction of permutations |
title_short |
On a mnemonic construction of permutations |
title_full |
On a mnemonic construction of permutations |
title_fullStr |
On a mnemonic construction of permutations |
title_full_unstemmed |
On a mnemonic construction of permutations |
title_sort |
on a mnemonic construction of permutations |
publisher |
De Gruyter |
series |
Journal of Mathematical Cryptology |
issn |
1862-2976 1862-2984 |
publishDate |
2017-03-01 |
description |
In the past when only “paper and pencil” ciphers were in use, a mnemonic
Bellaso’s method was applied to obtain a permutation from a meaningful
phrase. It turns out that even nowadays this method and its variations are
employed and provide a simple but at the same time efficient tool for some
ciphers. To the best of our knowledge the security of such ciphers has not been
evaluated yet in all respects. Therefore, in this paper we initiate a study of
their security with respect to the probability distribution of permutations
obtained by Bellaso’s method. |
topic |
eulerian numbers cryptography permutations 05c99 |
url |
https://doi.org/10.1515/jmc-2016-0058 |
work_keys_str_mv |
AT antaleugen onamnemonicconstructionofpermutations AT grosekotokar onamnemonicconstructionofpermutations AT horakpeter onamnemonicconstructionofpermutations |
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1717767954538430464 |