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تسجيل مستخدم جديدFive Constructions of Permutation Polynomials over $gf(q^2)$
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Four recursive constructions of permutation polynomials over $gf(q^2)$ with those over $gf(q)$ are developed and applied to a few famous classes of permutation polynomials. They produce infinitely many new permutation polynomials over $gf(q^{2^ell})$ for any positive integer $ell$ with any given permutation polynomial over $gf(q)$. A generic construction of permutation polynomials over $gf(2^{2m})$ with o-polynomials over $gf(2^m)$ is also presented, and a number of new classes of permutation polynomials over $gf(2^{2m})$ are obtained.
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