| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG - Brazil
Total Affiliations: 2
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| Document type: | Review article |
| Source: | Proceedings of the American Mathematical Society; v. 149, n. 9, p. 3639-3649, SEP 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
For any prime number p, and integer k >= 1, let F(p)k be the finite field of p(k) elements. A famous problem in the theory of polynomials over finite fields is the characterization of all nonconstant polynomials F epsilon F(p)k {[}x] for which the value set [F(a) : a. Fpk] has the minimum possible size left perpendicular(p(k) - 1)/ deg Fright perpendicular + 1. For k <= 2, the problem was solved in the early 1960s by Carlitz, Lewis, Mills, and Straus. This paper solves the problem for k = 3. (AU) | |
| FAPESP's process: | 18/03038-2 - Polynomial maps in finite fields and their applications |
| Grantee: | Lucas da Silva Reis |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |