Mathematical aspects of (\(\theta,\delta\))-codes with skew polynomial rings. (English) Zbl 1213.94195
Summary: We generalize coding theory of cyclic codes over finite fields to skew polynomial rings over finite rings. Codes that are principal ideals in quotient rings of skew polynomial rings by two sided ideals are studied. Next we consider skew codes of endomorphism type and derivation type, and give some examples.