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A NOTE ON INTERPOLATION OF PERMUTATIONS OF A SUBSET OF A FINITE FIELD
Published online by Cambridge University Press: 15 May 2014
Abstract
We determine several variants of the classical interpolation formula for finite fields which produce polynomials that induce a desirable mapping on the nonspecified elements, and without increasing the number of terms in the formula. As a corollary, we classify those permutation polynomials over a finite field which are their own compositional inverse, extending work of C. Wells.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 90 , Issue 2 , October 2014 , pp. 213 - 219
- Copyright
- Copyright © 2014 Australian Mathematical Publishing Association Inc.
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