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Binomial permutations of finite fields

Published online by Cambridge University Press:  17 April 2009

Wun-Seng Chou
Wun-Seng Chou
Affiliation:
Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, United States of America
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Abstract

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We discuss permutation properties of a specific kind of binomials over finite fields. As a result, we complete Cavior's classification of binomial octic permutation polynomials over Fq with q odd.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 3 , December 1988 , pp. 325 - 327
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Cavior, S.R., ‘A note on octic permutation polynomials’, Math. Comp. 17 (1963), 450–452.CrossRefGoogle Scholar
[2]Lidl, R. and Niederreiter, H., Finite Fields, (Encyclopedia Math. Appl., Vol. 20) (Addison-Wesley, Reading, Mass., 1983).Google Scholar
[3]Mollin, R.A. and Small, C., ‘On permutation polynomial over finite fields’, Internat. J. Math. Sci. 10 (1987), 536–543.CrossRefGoogle Scholar