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

Revista Matemática Complutense (2005)

- Volume: 18, Issue: 1, page 177-180
- ISSN: 1139-1138

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topShparlinski, Igor E.. "On the number of zero trace elements in polynomial bases for F2n.." Revista Matemática Complutense 18.1 (2005): 177-180. <http://eudml.org/doc/44549>.

@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 -