In mathematics, Galois rings are a type of finite commutative rings which generalize both the finite fields and the rings of integers modulo a prime power. A Galois ring is constructed from the ring Z / p n Z {\displaystyle \mathbb {Z} /p^{n}\mathbb {Z} } similar to how a finite field F p r {\displaystyle \mathbb {F} _{p^{r}}} is constructed from F p {\displaystyle \mathbb {F} _{p}} .
In mathematics, Galois rings are a type of finite commutative rings which generalize both the finite fields and the rings of integers modulo a prime power. A Galois ring is constructed from the ring Z / p n Z {\displaystyle \mathbb {Z} /p^{n}\mathbb {Z} } similar to how a finite field F p r {\displaystyle \mathbb {F} _{p^{r}}} is constructed from F p {\displaystyle \mathbb {F} _{p}} .
Source: Wikipedia "Galois ring" · CC BY-SA 4.0
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