In coding theory, group codes are a type of code linear block codes is a finite Abelian group.

homomorphisms which determine the parity check bits are the information bits themselves.

Construction

Group codes can be constructed by special generator matrices which resemble generator matrices of linear block codes except that the elements of those matrices are endomorphisms of the group instead of symbols from the code's alphabet. For example, considering the generator matrix

are the generators.

See also

• Group coded recording (GCR)

References

Further reading