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The number of solutions of certain diagonal equations over finite fields

โœ Scribed by Jacques Wolfmann

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
530 KB
Volume
42
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES

On the Number of Solutions of Diagonal E
On the Number of Solutions of Diagonal Equations over a Finite Field
โœ Qi Sun; Ping-Zhi Yuan ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Some Systems of Diagonal Equations over
Some Systems of Diagonal Equations over Finite Fields
โœ Jacques Wolfmann ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

On the Number of Solutions of a Linear E
On the Number of Solutions of a Linear Equation over Finite Sets
โœ Vsevolod F. Lev ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 300 KB

The largest possible number of representations of an integer in the k-fold sumset kA=A+ } } } +A is maximal for A being an arithmetic progression. More generally, consider the number of solutions of the linear equation where c i {0 and \* are fixed integer coefficients, and where the variables a i