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A class of permutation quadrinomials over finite fields.
- Source :
-
Communications in Algebra . 2024, Vol. 52 Issue 4, p1518-1524. 7p. - Publication Year :
- 2024
-
Abstract
- Let F q denote the finite field of order q. In this paper, we investigate the permutation property of the quadrinomial f (x) = x + a 1 x q (q − 1) + 1 + a 2 x q + a 3 x 2 (q − 1) + 1 over F q 2 , where q is odd and a 1 , a 2 , a 3 ∈ F q * . More precisely, we obtain the necessary and sufficient conditions for f (x) to be a permutation polynomial over F q 2 . [ABSTRACT FROM AUTHOR]
- Subjects :
- *PERMUTATIONS
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 52
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 175911806
- Full Text :
- https://doi.org/10.1080/00927872.2023.2264397