On the number of controllable linear systems over a finite field
✍ Scribed by M. Kociȩcki; K.M. Przyłuski
- Book ID
- 107826325
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 368 KB
- Volume
- 122-124
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
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
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