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Permutation polynomials in several variables over residue class rings
Published online by Cambridge University Press: 09 April 2009
Abstract
The concept of a permutation polynomial function over a commutative ring with 1 can be generalized to multiplace functions in two different ways, yielding the notion of a k-ary permutation polynomial function (k > 1, k ∈ N) and the notion of a strict k-ary permutation polynomial function respectively. It is shown that in the case of a residue class ring Zm of the integers these two notions coincide if and only if m is squarefree.
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- Copyright © Australian Mathematical Society 1987
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