Abstract

For each q of the form 4k , we determine all a ∈ Fq for which X + Xq + X2q−1 + aXq2−q+1 permutes Fq2 . We also construct a class of permutation trinomials over Fq2 in case q ≡ 1 (mod 3) .

DOI

10.55730/1300-0098.3515

Keywords

finite field, Permutation polynomial, quadrinomial, trinomial

First Page

407

Last Page

413

Recommended Citation

DING, Z, & ZIEVE, M (2024). Existence and nonexistence of permutation trinomials and quadrinomials. Turkish Journal of Mathematics 48 (3): 407-413. https://doi.org/10.55730/1300-0098.3515

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