Publication: Distribution of cycle lengths of a quadratic map over finite fields of characteristic 2
| dc.contributor.author | Atsanon Wadsanthat | en_US |
| dc.contributor.author | Chatchawan Panraksa | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.date.accessioned | 2020-01-27T09:14:58Z | |
| dc.date.available | 2020-01-27T09:14:58Z | |
| dc.date.issued | 2019-02-01 | en_US |
| dc.description.abstract | © 2019 Fibonacci Association. All Rights Reserved. The map x 7→ x 2 +x defined on a fixed finite field of characteristic 2 is investigated as a dynamical system. The map is known to be a linear map. Its nilpotent points form a subfield, and periodic cycles are somewhat uniform. A general upper bound for the cycle lengths is given in terms of the Carmichael function of the field degree. | en_US |
| dc.identifier.citation | Fibonacci Quarterly. Vol.57, No.1 (2019), 35-44 | en_US |
| dc.identifier.issn | 00150517 | en_US |
| dc.identifier.other | 2-s2.0-85063099200 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/123456789/51230 | |
| dc.rights | Mahidol University | en_US |
| dc.rights.holder | SCOPUS | en_US |
| dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85063099200&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | Distribution of cycle lengths of a quadratic map over finite fields of characteristic 2 | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85063099200&origin=inward | en_US |