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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Detaylı Bibliyografya

Yayımlandı:	Applicable algebra in engineering, communication and computing. 9, 5 (1999).
Yazar:	Cohen, S. D.
Diğer Yazarlar:	Hachenberger, D.
Materyal Türü:	Makale
Dil:	İngilizce
Konular:	Finite field. Primitive element. Normal basis. Free element. Trace. Character sum.