On the Polynomial Basis of Having a Small Number of Trace-One Elements

Jiantao Wang, Dong Zheng and Zheng Huang

Mathematical Problems in Engineering, 2016, vol. 2016, 1-6

Abstract:

In the Galois fields , a polynomial basis with a small number of trace-one elements is desirable for its convenience in computing. To find new irreducible polynomials over with this property, we research into the auxiliary polynomial with roots , such that the symmetric polynomials are relative to the symmetric polynomials of . We introduce a new class of polynomials with the number “1†occupying most of the values in its . This indicates that the number “0†occupies most of the values of the traces of the elements . This new class of polynomial gives us an indirect way to find irreducible polynomials having a small number of trace-one elements in their polynomial bases.

Date: 2016
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2016/9149041.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2016/9149041.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9149041

DOI: 10.1155/2016/9149041

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().