Paper Info

Title | ||
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Decomposition of M-sequences and its applications |

Abstract | ||
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If the period of an -sequence is with relative prime to , then the vector , a period of the -sequence, can be decomposed in a special way into two subsequences of lengths and . The properties and structures of the -sequence and its subsequences are studied under such decomposition. The following applications are direct consequences. The correlation technique for the detection of - sequences can be improved. The weight distributions of a class of cyclic codes can be easily obtained. A scheme for improving the feedback communication is developed. And a method for designing cyclic codes with desirable weights is suggested. |

Year | DOI | Venue |
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1971 | 10.1109/TIT.1971.1054654 | IEEE Transactions on Information Theory |

Keywords | Field | DocType |

feedback communication,correlators,weight distribution,shift-register sequences,cyclic codes,cyclic code,correlation technique,detection ofm,desirable weight,anm-sequence is2,sequences,following application,direct consequence,prime ton_2,matrix decomposition,polynomials,tensile stress,vectors,welding,design methodology,shift registers | Correlation function (quantum field theory),Prime (order theory),Discrete mathematics,Combinatorics,Mathematics,Decomposition | Journal |

Volume | Issue | ISSN |

17 | 4 | 0018-9448 |

Citations | PageRank | References |

3 | 0.53 | 1 |

Authors | ||

1 |

Authors (1 rows)

Cited by (3 rows)

References (1 rows)

Name | Order | Citations | PageRank |
---|---|---|---|

Lih-Jyh Weng | 1 | 16 | 4.01 |