Complete characterization of some permutation polynomials of the form xr(1+axs1(q-1)+bxs2(q-1)) over Fq2

Date

2023-01-01

Author

Özbudak, Ferruh
Temür, Burcu Gülmez

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We completely characterize all permutation trinomials of the form f(x) = x3(1 + axq-1+ bx2(q-1)) over Fq2, where a,b∈Fq∗ and all permutation trinomials of the form f(x) = x3(1 + bx2(q-1)+ cx3(q-1)) over Fq2, where b,c∈Fq∗ in both even and odd characteristic cases.

Subject Keywords

Absolutely Irreducible, Finite Fields, Permutation Polynomials

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85153037495&origin=inward
https://hdl.handle.net/11511/102884

Journal

Cryptography and Communications

DOI

https://doi.org/10.1007/s12095-023-00641-7

Collections

Department of Mathematics, Article

Citation Formats

F. Özbudak and B. G. Temür, “Complete characterization of some permutation polynomials of the form xr(1+axs1(q-1)+bxs2(q-1)) over Fq2,” Cryptography and Communications, pp. 0–0, 2023, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85153037495&origin=inward.