Abstract:n-cycle permutations with small n have the advantage that their compositional inverses are efficient in terms of implementation. They can be also used in constructing Bent functions and designing codes.Since the AGW Criterion was proposed, the permuting property of several forms of polynomials has been studied. In this paper, characterizations of several types of n-cycle permutations are investigated. Three criteria for n-cycle permutations of the form xh(λ(x)), h(ψ(x))ϕ(x) + g(ψ(x)) and g x q i − x + δ + bx w… Show more
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