On a Class of Permutation Polynomials over F2m
On a Class of Permutation Polynomials over F2m
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DOI:
10.1007/978-3-540-85912-3_32
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发表时间:
2008-09
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通讯作者:
P. Charpin;Gohar M. M. Kyureghyan-Gohar-M.-M.-Kyureghyan-1681417
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作者:
P. Charpin;Gohar M. M. Kyureghyan-Gohar-M.-M.-Kyureghyan-1681417
We study permutation polynomials of the shapeF(X) =G(X) +γTr(H(X)) over. We prove that if the polynomialG(X) is a permutation polynomial or a linearized polynomial, then the considered problem can be reduced to finding Boolean functions with linear structures. Using this observation we describe six classes of such permutation polynomials.