On two conjectures about permutation trinomials over F32k
| Autor: | Nian Li |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Polynomial Algebra and Number Theory Applied Mathematics Partial permutation General Engineering 020206 networking & telecommunications 0102 computer and information sciences 02 engineering and technology Generalized permutation matrix Trinomial 01 natural sciences Theoretical Computer Science Cyclic permutation Combinatorics Permutation Finite field Integer 010201 computation theory & mathematics 0202 electrical engineering electronic engineering information engineering Mathematics |
| Zdroj: | Finite Fields and Their Applications. 47:1-10 |
| ISSN: | 1071-5797 |
| DOI: | 10.1016/j.ffa.2017.05.003 |
| Popis: | Permutation polynomials with a few terms attract researchers' interest in recent years due to their simple algebraic form and some additional extraordinary properties. In this paper, by analyzing the quadratic factors of a fifth-degree polynomial and a seventh-degree polynomial over the finite field F 3 2 k , two conjectures on permutation trinomials over F 3 2 k proposed recently by Li, Qu, Li and Fu are settled, where k is a positive integer. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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