| Título: | Construction of the orthogonal groups of n x n circulant matrices over finite fields |
| Autores: | Zhang, Zhe |
| Fecha: | 1997 |
| Publicador: | |
| Fuente: |
Ver documento |
| Tipo: |
Thesis NonPeerReviewed |
| Tema: | |
| Descripción: | 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. |
| Idioma: | No aplica |
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