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A note on the roots of trinomials over a finite field

Published online by Cambridge University Press:  17 April 2009

Robert Coulter
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, United States of America, e-mail: coulter@math.udel.edu, marie@math.udel.edu
Marie Henderson
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, United States of America, e-mail: coulter@math.udel.edu, marie@math.udel.edu
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For non-negative integers n we determine the roots of the trinmial , with a ≠ 0, over a finite field of characteristic p.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2004

References

[1]Hardy, G.H. and Wright, E.M., An Introduction to the theory of numbers, (fifth edition) (Oxford University Press, Oxford, 1979).Google Scholar
[2]Liang, J., ‘On the solutions of trinomial equations over finite fields’, Bull. Calcutta Math. Soc. 70 (1978), 379382.Google Scholar
[3]Lidl, R. and Niederreiter, H., Finite fields, Encyclopedia Math. Appl. 20 (Addison-Wesley, Reading, 1983), (now distributed by Cambridge University Press).Google Scholar
[4]Vilanova, K., ’Certain trinomial equations over finite fields’, Trudy Univ. Družby Narod. 21 (1967), 1731.Google Scholar