Let q be the power of a prime p,n(≥2)be an integer.Some properties of qcycle modular qn1are given.With these properties this paper discusses the existence of a kind of special normal bases from F2n to F2.Finally,it is proved that this kind of special normal bases can be optimal normal bases of type Ⅰ,if n=4;Otherwise,it can't be optimal normal bases.
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李波.二元域上一类正规基与q循环[J].重庆工商大学学报(自然科学版),2015,32(7):26-29 LI Bo. A Class of Normal Bases on Binary Field and qCycle[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2015,32(7):26-29