Permutation trinomials over F2m
| Autor: | Yuzhen Ma, Cunsheng Ding, Pingzhi Yuan, Danyao Wu |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Mathematics::Combinatorics
Algebra and Number Theory Conjecture Mathematics::General Mathematics Mathematics::Number Theory Applied Mathematics Partial permutation General Engineering 020206 networking & telecommunications 0102 computer and information sciences 02 engineering and technology Generalized permutation matrix Trinomial Permutation matrix 01 natural sciences Theoretical Computer Science Cyclic permutation Combinatorics Permutation 010201 computation theory & mathematics 0202 electrical engineering electronic engineering information engineering Permutation graph Mathematics |
| Zdroj: | Finite Fields and Their Applications. 46:38-56 |
| ISSN: | 1071-5797 |
| DOI: | 10.1016/j.ffa.2017.03.002 |
| Popis: | Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we determine all permutation trinomials over F 2 m in Zieve's paper [30] . We prove a conjecture proposed by Gupta and Sharma in [8] and obtain some new permutation trinomials over F 2 m . Finally, we show that some classes of permutation trinomials with parameters are QM equivalent to some known permutation trinomials. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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