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Primitive elements in finite fields and costas arrays

โœ Scribed by Stephen D. Cohen; Gary L. Mullen


Publisher
Springer
Year
1991
Tongue
English
Weight
542 KB
Volume
2
Category
Article
ISSN
0938-1279

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Character Sums, Primitive Elements, and
โœ Arne Winterhof ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

Consider an extension field F q m =F q (a) of the finite field F q . Davenport proved that the set F q +a contains at least one primitive element of F q m if q is sufficiently large with respect to m. This result is extended to certain subsets of F q +a of cardinality at least of the order of magnit