Normal basis of the finite field F(2(p-1)pm) over F-2

The determination of normal bases for finite fields, particularly over the finite field IF2, is of importance in applications such as coding and cryptography. This correspondence gives an explicit normal basis for a finite field IF(2(p-1)p)m over IF2, when 2 is a primitive element module p(2). In the case when p=3, an explicit dual basis is also obtained.