For an arbitrary q-polynomial f over Fqn we study the problem of finding those qpolynomials g over Fqn for which the image sets of f(x)/x and g(x)/x coincide. For n ≤ 5 we provide sufficient and necessary conditions and then apply our result to study maximum scattered linear sets of PG(1, q5).
A Carlitz type result for linearized polynomials
Polverino O.
2019
Abstract
For an arbitrary q-polynomial f over Fqn we study the problem of finding those qpolynomials g over Fqn for which the image sets of f(x)/x and g(x)/x coincide. For n ≤ 5 we provide sufficient and necessary conditions and then apply our result to study maximum scattered linear sets of PG(1, q5).File in questo prodotto:
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