Full paper in PDF:
$% I. E. Shparlinski, On the number of zero trace elements in polynomial bases for F_2ⁿ, Rev. Mat. Complut. 18 (2005), no. 1, 177–180.%$

On the Number of Zero Trace Elements in Polynomial Bases for F_2ⁿ

Let denotes the finite field of elements. O. Ahmadi and A. Menezes have recently considered the question about the possible number of elements with zero trace in polynomial bases of over . Here we show that the Weil bound implies that there is such a basis with zero-trace elements.

Key words: bases of finite fields, Weil bound.
2000 Mathematics Subject Classification: 11T30, 11T71, 9460.