A discussion of a cryptographical scheme based in F-critical sets of a Latin square
Abstract
This communication provides a discussion of a scheme originally proposed by Falcón in a paper entitled “Latin squares associated to principal autotopisms of long cycles. Applications in cryptography”. Falcón outlines the protocol for a cryptographical scheme that uses the F-critical sets associated with a particular Latin square to generate access levels for participants of the scheme. Accompanying the scheme is an example, which applies the protocol to a particular Latin square of order six. Exploration of the example itself, revealed some interesting observations about both the structure of the Latin square itself and the autotopisms associated with the Latin square. These observations give rise to necessary conditions for the generation of the F-critical sets associated with certain autotopisms of the given Latin square. The communication culminates with a table which outlines the various access levels for the given Latin square in accordance with the scheme detailed by Falcón.
Citation
Johnson , L M & Perkins , S 2021 , ' A discussion of a cryptographical scheme based in F -critical sets of a Latin square ' , Mathematics , vol. 9 , no. 3 , 285 . https://doi.org/10.3390/math9030285
Publication
Mathematics
Status
Peer reviewed
ISSN
2227-7390Type
Journal article
Rights
Copyright:© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and con-ditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
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