Grรถbner Bases over Galois Rings with an
โ
Eimear Byrne; Patrick Fitzpatrick
๐
Article
๐
2001
๐
Elsevier Science
๐
English
โ 346 KB
We develop a theory of Grรถbner bases over Galois rings, following the usual formulation for Grรถbner bases over finite fields. Our treatment includes a division algorithm, a characterization of Grรถbner bases, and an extension of Buchberger's algorithm. One application is towards the problem of decodi