On the number of zero trace elements in polynomial bases for F2n.

@article{Shparlinski2005,
abstract = {Let Fq denote the finite field of q elements. O. Ahmadi and A. Menezes have recently considered the question about the possible number of elements with zero trace in polynomial bases of F2n over F2. Here we show that the Weil bound implies that there is such a basis with n + O(log n) zero-trace elements.},
author = {Shparlinski, Igor E.},
journal = {Revista Matemática Complutense},
keywords = {Campos finitos; Traza de una matriz; Bases polinómicas; bases of finite fields; Weil bound},
language = {eng},
number = {1},
pages = {177-180},
title = {On the number of zero trace elements in polynomial bases for F2n.},
url = {http://eudml.org/doc/44549},
volume = {18},
year = {2005},
}

TY - JOUR
AU - Shparlinski, Igor E.
TI - On the number of zero trace elements in polynomial bases for F2n.
JO - Revista Matemática Complutense
PY - 2005
VL - 18
IS - 1
SP - 177
EP - 180
AB - Let Fq denote the finite field of q elements. O. Ahmadi and A. Menezes have recently considered the question about the possible number of elements with zero trace in polynomial bases of F2n over F2. Here we show that the Weil bound implies that there is such a basis with n + O(log n) zero-trace elements.
LA - eng
KW - Campos finitos; Traza de una matriz; Bases polinómicas; bases of finite fields; Weil bound
UR - http://eudml.org/doc/44549
ER -