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Simultaneous solutions to diagonal equations over finite fields

✍ Scribed by Kenneth W. Spackman


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
740 KB
Volume
11
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


On Diagonal Equations over Finite Fields
✍ Sun Qi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 170 KB

We get an explicit formula for the number of solutions of a diagonal equation over finite fields, under a certain natural restriction on the exponents.

On Diagonal Equations over Finite Fields
✍ JiaGui Luo; Qi Sun πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 104 KB

In this paper, we obtain a su$cient condition for the diagonal equation to have only the trivial solution over "nite "elds. This result improves a theorem of Sun (J. Sichuan Normal ;niv. Nat. Sci. Ed. 26 (1989), 55}59) greatly and proves that the conjecture posed by Powell (J. Number ΒΉheory 18 (1984

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✍ Jacques Wolfmann πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 254 KB

By using results of coding theory, we give results on the number of solutions of some systems of diagonal equations over finite fields.

Diagonal forms over finite fields
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