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Some Systems of Diagonal Equations over Finite Fields

✍ Scribed by Jacques Wolfmann


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
254 KB
Volume
4
Category
Article
ISSN
1071-5797

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✦ Synopsis


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


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

On the Number of Solutions of Diagonal E
✍ Qi Sun; Ping-Zhi Yuan πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 181 KB

In this paper, we give a reduction theorem for the number of solutions of any diagonal equation over a finite field. Using this reduction theorem and the theory of quadratic equations over a finite field, we also get an explicit formula for the number of solutions of a diagonal equation over a finit

Generalized k-linear equations over a fi
✍ Robert G. van Meter πŸ“‚ Article πŸ“… 1972 πŸ› John Wiley and Sons 🌐 English βš– 196 KB

X generalization of a theorem of A. D. PORTER on the number of solutions of the k-linear equation 2 ai n x , ~ = a over a finite field is given.