## Abstract

Cyclic codes of length n = 2^{e} over the ring R_{4} = Z_{4}[x]/(x^{n} - 1) are studied. A linear code C of length n over Z_{4} is considered to be an additive submodule of the Z _{4}-module Z^{n}_{4}. A cyclic code of length n over Z_{4} is considered as an ideal in the ring R_{4} = Z _{4}[x]/x^{n} - 1. It is observed that the Hamming weight of a vector a ∈ Z^{n}_{4} is the number of non-zero components in the vector.

Original language | English |
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Pages (from-to) | 488 |

Number of pages | 1 |

Journal | IEEE International Symposium on Information Theory - Proceedings |

Publication status | Published - 2004 |

Externally published | Yes |

Event | Proceedings - 2004 IEEE International Symposium on Information Theory - Chicago, IL, United States Duration: 27 Jun 2004 → 2 Jul 2004 |

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