Dickson Polynomials of the Second Kind that are Permutations
Dickson Polynomials of the Second Kind that are Permutations
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DOI：
10.4153/cjm-1994-009-8
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发表时间：
1994-04
期刊：
影响因子：
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通讯作者：
Stephen D. Cohen
中科院分区：
文献类型：
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作者：
Stephen D. Cohen
摘要 已知当\(n + 1 = ±2\)（分别对两个模）时，第二类狄克森多项式置换有限素域（\(p\)为奇数）的元素。基于数值证据，有人推测这些同余条件对于该多项式的置换是必要的。这里通过一种新方法确立了这一推测。
Abstract It is known that the Dickson polynomial of the second kind permutes the elements of the finite prime field (p odd) when n + 1 = ±2 to each of the moduli and . Based on numerical evidence it has been conjectured that these congruences are necessary for the polynomial to permute . The conjecture is established here by a new method