Second order linear 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:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

In the previous paper [O.J. Brison, J.E. Nogueira, Linear recurring sequence subgroups in finite fields, Finite Fields Appl. 9 (2003) 413-422] the authors investigated when, and how, the elements of a multiplicative subgroup of a finite field can be written, without repetition, as a cyclically-closed second order linear recurring sequence. Here, the earlier results are extended; in particular a general method is suggested for attempting to prove a given subgroup to be ''standard,'' in the terminology of the previous paper, while a lifting theorem for ''nonstandard'' subgroups is proved.