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

© 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 boun...

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Bibliographic Details
Main Authors: Atsanon Wadsanthat, Chatchawan Panraksa
Other Authors: Mahidol University
Format: Article
Published: 2020
Subjects:
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/51230
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Institution: Mahidol University