A short note on permutation trinomials of prescribed type

Date

2019-11-21

Author

Akbal, Yildirim
GÜLMEZ TEMÜR, BURCU
Ongan, Pinar

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We show that there are no permutation trinomials of the form hox 1/4 x5 ox5oq1 xq1 1 over Fq2 where q is not a power of 2. Together with a result of Zha, Z., Hu, L., Fan, S., hox permutes Fq2 if q 1/4 2k where k 2 omod 4, this gives a complete classification of those q's such that hox permutes F-q(2).

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/66950

Journal

COMMUNICATIONS IN ALGEBRA

DOI

https://doi.org/10.1080/00927872.2019.1691578

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

Y. Akbal, B. GÜLMEZ TEMÜR, and P. Ongan, “A short note on permutation trinomials of prescribed type,” COMMUNICATIONS IN ALGEBRA, pp. 1608–1612, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66950.