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Ponencia
Critical and forcing sets related to the autotopism group of a Latin square
(2006)
In Cryptography, critical sets of any Latin square L can be used to get the access structure of a secret sharing scheme [2, 6] having triples of L as shares. In such a scheme, further information about the symmetry of L ...
Artículo
A particular case of extended isotopisms: Santilli's isotopisms
(Hadronic Press, 2006)
Due to a mathematical necessity, it has been proved that it is convenient to give a new interpretation of the multiplicity of Santilli's isounity Ib = Ib(x, v, t, µ, ρ, ...) of any Santilli's isotopism, as a family of ...
Ponencia
Θ-critical sets of Latin squares having Θ as a principal autotopism
(2006)
Any principal autotopism Θ of a Latin square L ∈ LS(n), whose elements are in a set N of n symbols, gives a significant information about the symmetry of L. Although Θ-critical sets of L can be then used in Cryptography ...
Ponencia
Graphs related to principal autotopisms of Latin squares
(2006-07)
Latin squares of order nare equivalent to 1-factorizations of Kn,n. In this way, fixed a principal isotopism Θ=(α,β,ε)∈S3n, where Sn is the symmetric group of the set N={0,1, ..., n−1}, we are going to study in this paper ...