# Publication: Classification of Normal Sequences

All || By Area || By YearTitle | Classification of Normal Sequences |
---|---|

Authors/Editors* | D.Z. Djokovic |

Where published* | International Journal of Combinatorics |

How published* | Journal |

Year* | 2011 |

Volume | 2011 |

Number | |

Pages | To appear |

Publisher | Hindawi Publishing Corporation |

Keywords | Base sequences, normal sequences, nonperiodic autocorrelation functions, canonical form |

Link | |

Abstract |
Base sequences BS(m,n) are quadruples (A;B;C;D) of {+1,-1}-sequences, with A and B of length m and C and D of length n, such that the sum of their nonperiodic autocorrelation functions is a delta-function. Normal sequences NS(n) are base sequences (A;B;C;D) in BS(n,n) such that A=B. We introduce a definition of equivalence for normal sequences NS(n), and construct a canonical form. By using this canonical form, we have enumerated the equivalence classes of NS(n) for n <= 40. |

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