Let F be a finite field. We apply a result of Thierry Berger (1996, Designs Codes Cryptography, 7, 215-221) to determine the structure of all groups of permutations on F generated by the permutations induced by the linear polynomials and any power map which induces a permutation on F.
Enumerating Permutation Polynomials over Finite Fields by Degree
โ Scribed by Sergei Konyagin; Francesco Pappalardi
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 85 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1071-5797
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โฆ Synopsis
We prove an asymptotic formula for the number of permutations for which the associated permutation polynomial has degree smaller than q ร 2. # 2002 Elsevier Science (USA)
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