Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

CODES OVER $Z_m$

  • Published : 1998.03.01

⟨ Previous Next ⟩

Abstract

In this paper we study cyclic codes in $Z_m$. i.e., ideals in $Z_mG$, G afinite abelian group and we give a classification of such codes. We also sgtudy the minimum Hamming distance and the generalized Hamming weight of BCH codes over $Z_m$.

Keywords

References

  1. The Thejory of Error-Correcting Codes F.J.Macwilliams;N.J.A.Sloane
  2. Commutative Group Algebras George Karpilovsky
  3. IEEE Trans Inform. Theory v.38 no.3 On the Generalized Hamming Weights of Several Classes of Cyclic Codes G.L.Fing;K.K.Tzeng;V.K.Wei
  4. Inform. Contr. v.20 no.4 Blake Codes over Certain Rings Ian F.
  5. Ellis Horwood Limited Commutative Rings S.Malcerzyk;T.Jozefiak
  6. IEEE Trans Inform. Theory v.IT-25 no.4 On BCH Codes over Arbitrary Integer Rings Priti Shankar
  7. IEEE Trans Inform. Theory v.28 no.1 On Codes over Z$_m$ Sirik. Wasan
  8. IEEE Trans Inform. Theory v.37 no.5 Generalized Hamming Weights for Linear Codes Victor K.Wei