The determination of normal bases for finite fields, particularly over the finite field F/sub 2/, is of importance in applications such as coding and cryptography. This correspondence gives an explicit normal basis for a finite field F/sub 2/(p-1)p/sup m/ over F/sub 2/, when 2 is a primitive element module p/sup 2/. In the case when p=3, an explicit dual basis is also obtained.
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机译：对于有限域，特别是在有限域F / sub 2 /之上的法向基的确定，在诸如编码和密码学的应用中很重要。当2是基本元素模块p / sup 2 /时，此对应关系为F / sub 2 /（p-1）p / sup m /在F / sub 2 /上的有限域提供了明确的正则基础。在p ＝ 3的情况下，还获得了显式对偶基。
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