Zhang, Zhe (1997) *Construction of the orthogonal groups of n x n circulant matrices over finite fields.* Masters thesis, Concordia University.

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## Abstract

Let F be a finite field with q elements where $q=p\sp{m}, p$ prime. Let ${\cal M}$ be the algebra of n x n circulant matrices over F. The set $O\sb{(n,q)}$ of orthogonal n x n circulant matrices is a subgroup of ${\cal M}\sp\times.$ The major purposes of the thesis are: (1) to explain K. A. Byrd and T. P. Vaughan's results stated in (8), about formulas for the orders, and algorithms for the construction, of the groups $O\sb{(n,q)};$ (2) to show new examples and develop programs to find the orders and to actually construct the group $O\sb{(n,q)}$ for any given n and q.

Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
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Item Type: | Thesis (Masters) |

Authors: | Zhang, Zhe |

Pagination: | v, 77, 30 leaves ; 29 cm. |

Institution: | Concordia University |

Degree Name: | Theses (M.Sc.) |

Program: | Mathematics and Statistics |

Date: | 1997 |

Thesis Supervisor(s): | Francisco, Thaine |

ID Code: | 264 |

Deposited By: | Concordia University Libraries |

Deposited On: | 27 Aug 2009 13:10 |

Last Modified: | 08 Dec 2010 10:13 |

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