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Permutations, hyperplanes and polynomials over finite fields

✍ Scribed by András Gács; Tamás Héger; Zoltán Lóránt Nagy; Dömötör Pálvölgyi

Book ID
108131501
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
208 KB
Volume
16
Category
Article
ISSN
1071-5797

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📜 SIMILAR VOLUMES

Groups of Permutation Polynomials over F
Groups of Permutation Polynomials over Finite Fields
✍ Richard M. Stafford 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 195 KB

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
Enumerating Permutation Polynomials over Finite Fields by Degree
✍ Sergei Konyagin; Francesco Pappalardi 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 85 KB

We prove an asymptotic formula for the number of permutations for which the associated permutation polynomial has degree smaller than q À 2. # 2002 Elsevier Science (USA)