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The number of polynomial functions which permute the matrices over a finite field

โœ Scribed by J.V Brawley

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
453 KB
Volume
21
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES

The Number of Permutation Polynomials of
The Number of Permutation Polynomials of a Given Degree Over a Finite Field
โœ Pinaki Das ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

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 รž 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

Permutation Properties of Chebyshev Poly
Permutation Properties of Chebyshev Polynomials of the Second Kind over a Finite Field
โœ M. Henderson; R. Matthews ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 317 KB

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