Metacyclic error-correcting codes

  title={Metacyclic error-correcting codes},
  author={Roberta Evans Sabin and Samuel J. Lomonaco},
  journal={Applicable Algebra in Engineering, Communication and Computing},
Error-correcting codes which are ideals in group rings where the underlying group is metacyclic and non-abelian are examined. Such a groupG(M, N,R) is the extension of a finite cyclic group ℤM by a finite cyclic group ℤ N and has a presentation of the form (S, T:S M =1,T N =1, T· S=S R ·T) where gcd(M, R)=1, R N =1 modM, R ≠ 1. Group rings that are semi-simple, i.e., where the characteristic of the field does not divide the order of the group, are considered. In all cases, the field of the… CONTINUE READING

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