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Simultaneous Pairs of Linear and Quadratic Equations In a Galois Field

Published online by Cambridge University Press:  20 November 2018

Eckford Cohen
Eckford Cohen*
Affiliation:
University of Tennessee
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Let F denote the Galois field GF(pr) with pr elements, where p is an odd prime and r is a positive integer. Suppose further that m and n are arbitrary elements of F and that αi, βi pt (i = 1, …, s) are nonzero elements of F. The purpose of this paper is to evaluate the function Ns(m, n), defined, for an arbitrary positive integer s, to be the number of simultaneous solutions in F of the equations

1.1.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 74 - 78
Copyright
Copyright © Canadian Mathematical Society 1957

References

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