New permutation polynomials with coefficients 1 over finite fields and their compositional inverses

Hutao SONG , Hua GUO , Fengju GAO , Xiyong ZHANG , Jianwei LIU

Front. Comput. Sci. ›› 2026, Vol. 20 ›› Issue (7) : 2007814

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Front. Comput. Sci. ›› 2026, Vol. 20 ›› Issue (7) : 2007814 DOI: 10.1007/s11704-025-50191-9
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New permutation polynomials with coefficients 1 over finite fields and their compositional inverses

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Hutao SONG, Hua GUO, Fengju GAO, Xiyong ZHANG, Jianwei LIU. New permutation polynomials with coefficients 1 over finite fields and their compositional inverses. Front. Comput. Sci., 2026, 20(7): 2007814 DOI:10.1007/s11704-025-50191-9

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Gupta R, Sharma R K . Some new classes of permutation trinomials over finite fields with even characteristic. Finite Fields and Their Applications, 2016, 41: 89–96

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Li N, Helleseth T . New permutation trinomials from Niho exponents over finite fields with even characteristic. Cryptography and Communications, 2019, 11( 1): 129–136

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