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...

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发表在:	Applicable algebra in engineering, communication and computing. 9, 5 (1999).
主要作者:	Cohen, S. D.
其他作者:	Hachenberger, D.
格式:	文件
语言:	English
主题:	Finite field. Primitive element. Normal basis. Free element. Trace. Character sum.