Primitive Normal Bases with Prescribed Trace.
Let E be a finite degree extension over a finite field F = GF(q), G the Galois group of E over F and let a∈F be nonzero. We prove the existence of an element w in E satisfying the following conditions: - w is primitive in E, i.e., w generates the multiplicative group of E (as a module over the ring...
| 發表在: | Applicable algebra in engineering, communication and computing. 9, 5 (1999). |
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| 格式: | Article |
| 語言: | English |
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