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arxiv: 1906.06453 · v1 · pith:KX6R3ZICnew · submitted 2019-06-15 · 💻 cs.IT · math.IT

Constructions and necessities of some permutation polynomials

classification 💻 cs.IT math.IT
keywords permutationpolynomialsnecessitiessomeapplicationsareasclassescoding
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Permutation polynomials over finite fields have important applications in many areas of science and engineering such as coding theory, cryptography, combinatorial design, etc. In this paper, we construct several new classes of permutation polynomials, and the necessities of some permutation polynomials are studied.

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  1. Further results on some classes of permutation polynomials over finite fields

    cs.IT 2019-07 unverdicted novelty 4.0

    Further results on the permutation behavior of polynomial classes over finite fields together with constructions of new such classes.