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A note on the coefficients of inverse polynomials. (English) Zbl 1167.11044
Summary: We describe some relations on the coefficients of a polynomial in terms of the map that induces and use them to characterize the coefficients of the inverse polynomials of some special classes of permutation polynomials.

MSC:
11T06 Polynomials over finite fields
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[1] Lidl, R.; Niderraĭter, G., Конечные поля. том 2, (1988), Mir Moscow, pp. 433-822 (in Russian). Translated from the English by A.E. Zhukov and V.I. Petrov. Translation edited by V.I. Nechaev
[2] G.L. Mullen, Permutation polynomials over finite fields, in: Finite Fields, Coding Theory, and Advances in Communication and Computing, Las Vegas, NY, 1991, pp. 131-151
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