zbMATH — the first resource for mathematics

On the theory of group codes. (Zur Theorie der Gruppencodes.) (English. Russian original) Zbl 0216.55803
Cybernetics 3, No. 1, 25–31 (1967); translation from Kibernetika 1967, No. 1, 31-39 (1967).
Summary: In this paper the error correcting possibilities of cyclic codes are studied and the more general class of abelian codes is introduced. The well known Reed-Muller codes are also a particular case of abelian codes. The methods of the theory of finite group representations is used for the study of abelian codes.

94B15 Cyclic codes
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
Full Text: DOI