Publication:
Distribution of cycle lengths of a quadratic map over finite fields of characteristic 2

10

Issued Date

2019-02-01

Resource Type

Article

ISSN

00150517

Other identifier(s)

2-s2.0-85063099200

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Fibonacci Quarterly. Vol.57, No.1 (2019), 35-44

Suggested Citation

Atsanon Wadsanthat, Chatchawan Panraksa Distribution of cycle lengths of a quadratic map over finite fields of characteristic 2. Fibonacci Quarterly. Vol.57, No.1 (2019), 35-44. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/51230

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Title

Distribution of cycle lengths of a quadratic map over finite fields of characteristic 2

Author(s)

Atsanon Wadsanthat
 Chatchawan Panraksa

Other Contributor(s)

Mahidol University

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.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/123456789/51230

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Scopus 2019