Abstract
Permutation polynomials over finite fields constitute an active research area and have important applications in many areas of science and engineering. In this paper, several classes of permutation polynomials with trace functions are presented over \(\mathbb {F}_{p^{n}} (p=2, 3)\) by investigating the number of solutions to special equations.
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Acknowledgements
The authors wish to thank the anonymous referees for valuable comments which significantly improved both the quality and presentation of this paper. This work is supported in part by the National Natural Science Foundation of China under Grants 11971156, 61972303, 62072222 and 62172337, in part by Open Foundation of Hubei Key Laboratory of Applied Mathematics (Hubei University), Grant HBAM202005, and Project of Young Teachers Scientific Research Ability Improvement Plan of Northwest Normal University (Grant NWNU-LKQN2021-15).
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Wang, YP., Zha, Z., Du, X. et al. Several classes of permutation polynomials with trace functions over \(\mathbb {F}_{p^n}\). AAECC 35, 337–349 (2024). https://doi.org/10.1007/s00200-022-00551-w
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DOI: https://doi.org/10.1007/s00200-022-00551-w