Non-standard sequence subgroups in finite fields

Authors:
Owen J. Brison;J. Eurico Nogueira
Affiliations:
Departamento de Matemática, Faculdade de Ciências da Universidade de Lisboa, Bloco C6, Piso 2, Campo Grande, 1749-016 Lisboa, Portugal;Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2825-114 Monte da Caparica, Portugal
Venue:
Finite Fields and Their Applications
Year:
2010

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Abstract

In previous papers, see, for example, [O.J. Brison, J.E. Nogueira, Second order linear sequence subgroups in finite fields, Finite Fields Appl. 14 (2008) 277-290], the authors studied f-sequence subgroups when f(t) was a polynomial of degree 2. Here we study non-standard groups when f(t) has degree k. The non-standard configurations found when k=2 extend to the general case, while new configurations when k2 are described.