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Existence and nonexistence of permutation trinomials and quadrinomials.

Authors :
Zhiguo DING
ZIEVE, Michael E.
Source :
Turkish Journal of Mathematics. 2024, Vol. 48 Issue 3, p407-413. 8p.
Publication Year :
2024

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). [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*PERMUTATIONS
*FINITE fields

Details

Language :
English
ISSN :
13000098
Volume :
48
Issue :
3
Database :
Academic Search Index
Journal :
Turkish Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
177413850
Full Text :
https://doi.org/10.55730/1300-0098.3515