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On a problem of Niederreiter and Robinson about finite fields

Published online by Cambridge University Press:  09 April 2009

Daqing Wan
Daqing Wan
Affiliation:
Department of Mathematics, Sichuan University, Chengdu, China
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Abstract

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In this article, we prove that for a finite field Fq with even q > 3, any complete mapping polynmial of Fq has reduced degree at most q − 3. This is a solution to a problem of Niederreiter and Robinson about finite fields.;

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 41 , Issue 3 , December 1986 , pp. 336 - 338
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Dickson, L. E., Linear groups (Dover, New York, 1958).Google Scholar
[2]Niederreiter, H. and Robinson, K. H., ‘Complete mappings of finite fields’, J. Austral. Math. Soc. (Ser.A) 33 (1982), 197–212.CrossRefGoogle Scholar