Betrachte den Körper K = F 4 = Z / ( 2 ) [ U ] / ( U 2 + U + 1 ) {\displaystyle {}K=\mathbb {F} _{4}=\mathbb {Z} /(2)[U]/(U^{2}+U+1)} . Führe im Polynomring K [ X ] {\displaystyle {}K[X]} die Polynomdivision
![{\displaystyle {}K=\mathbb {F} _{4}=\mathbb {Z} /(2)[U]/(U^{2}+U+1)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d5e7ad0ca6361d0d4be6f48feeacdba1513be362)
. Führe im Polynomring ![{\displaystyle {}K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7861df9df3d7463835d927c4d0d4c27f5e2f8416)
die Polynomdivision
