Two classes of permutation trinomials over Fq3 in characteristic two
Two classes of permutation trinomials over Fq3 in characteristic two
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DOI：
10.1016/j.ffa.2023.102354
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发表时间：
2024-02
期刊：
影响因子：
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通讯作者：
Lijing Zheng;H.-B. Kan;Tongliang Zhang;J. Peng;Yanjun Li
中科院分区：
文献类型：
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作者：
Lijing Zheng;H.-B. Kan;Tongliang Zhang;J. Peng;Yanjun Li
设q=2m，F q3是具有q3个元素的有限域。本文利用多元方法、结式消去法和变换化为有限域上某些方程的处理方法，提出了Fq3的两类置换三项式，并证明了这两类置换三项式与Fq3上所有已知的置换多项式是Qm不等价的。
Let q= 2 m and F q 3 be the finite field with q 3 elements. In this paper, based on the multivariate method, resultant elimination, and transforming into dealing with some equations over finite fields, we propose two classes of permutation trinomials of F q 3. We illustrate that these two classes of permutation trinomials are QM-inequivalent to all known permutation polynomials over F q 3. Some well-known results can be covered by our theorems.