Standard sequence subgroups in finite fields

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In previous work, the authors describe certain configurations which give rise to standard and to non-standard subgroups for linear recurrences of order k=2, while in subsequent work, a number of families of non-standard subgroups for recurrences of order k greater or equal to 2 are described. Here we exhibit two infinite families of standard groups for k greater or equal to 2.
Original languageEnglish
Pages (from-to)326-340
JournalFinite Fields And Their Applications
Publication statusPublished - Jan 2014


  • Finite field
  • Linear recurrence relation
  • Restricted period
  • Standard subgroup


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