Generation of the symmetric group Sn2

Author:

Sánchez Carlos Zequeira1,Madarro Capó Evaristo José2,Sosa-Gómez Guillermo3

Affiliation:

1. Empresa Xetid, Ciego de Ávila, Cuba

2. Instituto de Criptografía, Universidad de la Habana, La Habana 10400, Cuba

3. Facultad de Ciencias Económicas y Empresariales, Universidad Panamericana, Álvaro del Portillo 49, Zapopan, Jalisco 45010, Mexico

Abstract

In various scenarios today, the generation of random permutations has become an indispensable tool. Since random permutation of dimension [Formula: see text] is a random element of the symmetric group [Formula: see text], it is necessary to have algorithms capable of generating any permutation. This work demonstrates that it is possible to generate the symmetric group [Formula: see text] by shifting the components of a particular matrix representation of each permutation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics

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