Second order linear sequence subgroups in finite fields---II

  • 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:
  • 2009

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Abstract

In previous papers [O.J. Brison, J.E. Nogueira, Linear recurring sequence subgroups in finite fields, Finite Fields Appl. 9 (2003) 413-422; O.J. Brison, J.E. Nogueira, Second order linear sequence subgroups in finite fields, Finite Fields Appl. 14 (2008) 277-290] the authors investigated when, and how, a multiplicative subgroup of a finite field can be written, without repetition, as a cyclically-closed second order recurring sequence. Here, the earlier results are extended for sequences with certain restricted periods.