Permutation binomials

Charles Small

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-6

Abstract:

A polynomial f over a finite feld F is a permutation polynomial if the mapping F → F defined by f is one-to-one. We are concerned here with binomials, that is, polynomials of the shape f = a X i + b X j + c , i > j ≥ 1 . Even in this restricted setting, it is impossible to give general necessary and sufficient conditions on a , b , c for f to be a permutation polynomial. We review, and systematize, what is known.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:980219

DOI: 10.1155/S0161171290000497

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