Permutation polynomials and complete permutation polynomials over F_q^3

06/15/2018

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by   Yanping Wang, et al.

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Motivated by many recent constructions of permutation polynomials over F_q^2, we study permutation polynomials over F_q^3 in terms of their coefficients. Based on the multivariate method and resultant elimination, we construct several new classes of sparse permutation polynomials over F_q^3, q=p^k, p≥3. Some of them are complete mappings.