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Primitive Roots in the Quadratic Extension of a Finite Field

โœ Scribed by Cohen, S. D.


Book ID
120095272
Publisher
Oxford University Press
Year
1983
Tongue
English
Weight
160 KB
Volume
s2-27
Category
Article
ISSN
0024-6107

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Completely Normal Elements in Iterated Q
โœ Robin Chapman ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 226 KB

Cohen and McNay both give iterative constructions of irreducible polynomials of 2-power degree over finite fields of odd order. In this paper I show that the roots of these polynomials are completely normal elements in the appropriate extension field.