Bases of the Galois Ring $GR(p^r,m)$ over the Integer Ring $Z_{p^r}$

Virgilio Sison

The Galois ring $GR(p^r,m)$ of characteristic $p^r$ and cardinality $p^{rm}$, where $p$ is a prime and $r,m\ge 1$ are integers, is a Galois extension of the residue class ring $Z_…