New methods for generating permutation polynomials over finite fields |
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| Authors: | Xiwang Cao Lei Hu |
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| Affiliation: | aSchool of Mathematical Sciences, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;bSchool of Mathematical Sciences, LMIB of Ministry of Education, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;cState Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | We present two methods for generating linearized permutation polynomials over an extension of a finite field Fq. These polynomials are parameterized by an element of the extension field and are permutation polynomials for all nonzero values of the element. For the case of the extension degree being odd and the size of the ground field satisfying  , these parameterized linearized permutation polynomials can be used to derive non-parameterized nonlinear permutation polynomials via a recent result of Ding et al. |
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| Keywords: | MSC: 11T06 |
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