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Several Classes of Permutation Trinomials From Niho Exponents

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 نشر من قبل Nian Li
 تاريخ النشر 2016
  مجال البحث الهندسة المعلوماتية
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Motivated by recent results on the constructions of permutation polynomials with few terms over the finite field $mathbb{F}_{2^n}$, where $n$ is a positive even integer, we focus on the construction of permutation trinomials over $mathbb{F}_{2^n}$ from Niho exponents. As a consequence, several new classes of permutation trinomials over $mathbb{F}_{2^n}$ are constructed from Niho exponents based on some subtle manipulation of solving equations with low degrees over finite fields.

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