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Reversed
Dickson polynomials
Jiaqi Fang, Neranga Fernando and Haoming Wu |
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Vol. 18 (2025), No. 2, 297–328
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Abstract |
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We investigate fixed points and cycle types of permutation polynomials and complete permutation polynomials arising from reversed Dickson polynomials of the first kind and second kind over . We also study the permutation behaviour of reversed Dickson polynomials of the first kind and second kind over . |
Keywords
finite fields, reversed Dickson polynomials, permutation
polynomials, complete permutation polynomials, fixed
points, cycle type
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Mathematical Subject Classification
Primary: 11T55
Secondary: 11T06
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Milestones
Received: 26 July 2023
Revised: 18 September 2023
Accepted: 18 September 2023
Published: 26 February 2025
Communicated by Steven J. Miller
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Authors |
| Jiaqi Fang | |
| Department of Mathematics and
Computer Science College of the Holy Cross Worcester, MA United States |
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| Neranga Fernando | |
| Department of Mathematics and
Computer Science College of the Holy Cross Worcester, MA United States |
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| Haoming Wu | |
| Department of Mathematics and
Computer Science College of the Holy Cross Worcester, MA United States |
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| © 2025 MSP (Mathematical Sciences Publishers). |
