On the Existence of Some Specific Primitive Elements over Finite Fields of Even Characteristic
On the Existence of Some Specific Primitive Elements over Finite Fields of Even Characteristic
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DOI：
10.1109/icicta.2012.66
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发表时间：
2012-01
期刊：
影响因子：
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通讯作者：
Xiao Zhang;Peipei Wang;X. Cao;Zhiming Zheng
中科院分区：
文献类型：
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作者：
Xiao Zhang;Peipei Wang;X. Cao;Zhiming Zheng
Let q be a power of 2, n be a positive integer, Fqn denote a finite field with qn elements. In this paper, we consider the existence of the some specific elements in Fqn. The main results obtained in this paper are listed as follows: There is an element in Fqn such that both ξ and ξ+ξ-1 are primitive elements of Fqn and ξ + ξ-1 is also a normal element of Fqn if 1) either n|(q - 1), and n ≥ 37, or 2) n|(q - 1), and n ≥ 34, s ≥ 6.
