2013•IACR Cryptology ePrint ArchiveRequires access
On the Primitivity of some Trinomials over Finite Fields.
Yujuan Li, Huaifu Wang, Jinhua Zhao
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Abstract
In this paper, we give conditions under which the trinomials of the form x + ax + b over finite field Fpm are not primitive and conditions under which there are no primitive trinomials of the form x +ax+b over finite field Fpm . For finite field F4, We show that there are no primitive trinomials of the form x + x + α, if n ≡ 1 mod 3 or n ≡ 0 mod 3 or n ≡ 4 mod 5.