scholarly journals The Bruhat order on classes of isotopic Latin squares

2020 ◽  
Vol 77 (1) ◽  
pp. 111-131
Author(s):  
Rosário Fernandes ◽  
Henrique da Cruz ◽  
Domingos Salomão
Keyword(s):  
Latin Squares ◽  
Bruhat Order

scholarly journals A Discussion of a Cryptographical Scheme Based in F-Critical Sets of a Latin Square

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 285
Author(s):  
Laura M. Johnson ◽  
Stephanie Perkins
Keyword(s):  
Necessary Conditions ◽  
Latin Square ◽  
Latin Squares ◽  
Critical Sets ◽  
Long Cycles ◽  
The Given

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.

Latin squares from multiplication tables

2021 ◽  
Author(s):  
Michał Dębski ◽  
Jarosław Grytczuk
Keyword(s):  
Latin Squares ◽  
Multiplication Tables

Critical Sets of Full n-Latin Squares

2015 ◽  
Vol 32 (2) ◽  
pp. 543-552 ◽  
Author(s):  
Nicholas J. Cavenagh ◽  
Vaipuna Raass
Keyword(s):  
Latin Squares ◽  
Critical Sets

90.73 Powers of Latin squares

2006 ◽  
Vol 90 (519) ◽  
pp. 478-481 ◽  
Author(s):  
Emanuel Emanouilidis
Keyword(s):  
Latin Squares

Low-Power, Resilient Interconnection with Orthogonal Latin Squares

2011 ◽  
Vol 28 (2) ◽  
pp. 30-39 ◽  
Author(s):  
Seung Eun Lee ◽  
Yoon Seok Yang ◽  
G S Choi ◽  
Wei Wu ◽  
R Iyer
Keyword(s):  
Low Power ◽  
Latin Squares ◽  
Orthogonal Latin Squares

Uniform Semi-Latin Squares and Their Schur-Optimality

2012 ◽  
Vol 20 (6) ◽  
pp. 265-277 ◽  
Author(s):  
Leonard H. Soicher
Keyword(s):  
Latin Squares
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