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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.

Descrição

This research was partially supported by the Fundacao de Ciencia e Tecnologia, and was undertaken within the "Centro de Estruturas Lineares e Combinatorias da Universidade de Lisboa".

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Finite field Linear recurrence relation Restricted period Standard subgroup

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