Distribution of Residues of Certain Second-Order Linear Recurrences Modulo p-III

Lawrence Somer

A chapter in Applications of Fibonacci Numbers, 1996, pp 451-471 from Springer

Abstract: Abstract In a series of papers (see [5], [9], [15]–[17], and [19]) written both individually by this author and jointly with others, the distribution of residues in a second-order linear recurrence modulo a prime, and more generally over a finite field, has been investigated. We note that the distribution behavior of linear recurrences is of interest in such applications as algebraic coding theory and the theory of pseudorandom sequences. In [9], upper bounds were determined for the number of times an element of a finite field can appear in a shortest period of a second-order linear recurrence over that finite field. These results were generalized in [19].

Date: 1996
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DOI: 10.1007/978-94-009-0223-7_38

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