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Diagonal forms over finite fields

✍ Scribed by Brother Joseph Heisler

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
90 KB
Volume
6
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES

On Diagonal Equations over Finite Fields
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
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

Some Systems of Diagonal Equations over
Some Systems of Diagonal Equations over Finite Fields
✍ 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.