Fields that admit a nonlinear permutation polynomial
โ Scribed by J.V Brawley; Robert Gilmer
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 612 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
We relate the number of permutation polynomials in F q ยฝx of degree d q ร 2 to the solutions รฐx 1 ; x 2 ; . . . ; x q ร of a system of linear equations over F q , with the added restriction that x i =0 and x i =x j whenever i=j. Using this we find an expression for the number of permutation polynomi
A class of permutation polynomials amongst the Chebyshev polynomials of the second kind has been described by the second author. Cohen has shown that in prime fields of odd order or their degree 2 extensions these are the only examples of such polynomials. In this paper, the authors present new clas