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Iterative Roots of Functions over Finite Fields

✍ Scribed by K. B. Dunn; R. Lidl

Publisher: John Wiley and Sons
Year: 1984
Tongue: English
Weight: 590 KB
Volume: 115
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19841150124

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✦ Synopsis

Let gn denote the iterates of a function y from the finite field FG into itself, defined induct~ively by go@) = x and g"(x) = g ( g n -l ( x ) ) , n>O. We study the existence of solutions to the functional equation g"=f, where f is a given linear, quadratic or CHEBYSIIEV function on .Fq, *) Research piirtially supported by Australinn Research Grants Committee Grant KO. 13 7815210 I.

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