Hebron University Research Journal-A (Natural Sciences) - (مجلة جامعة الخليل للبحوث- أ (العلوم الطبيعيه
Article Title
Abstract
In this short paper we give a generalization of the two criterion in (4),namely:
The first is a necessary and sufficient condition for a polynomial f(x) of coefficients in a field F to be divisible by x^n -1. The second is a necessary and sufficient condition for a polynomial f(x) of coefficients in a field F to be divisible by the cyclotomic polynomial Qp(x) for a prime number p.
In addition to these two criterion, we introduce some consequences. An important application of these two criteria is to generate good detecting criteria for error-correcting codes.
Recommended Citation
Al-Atrash, Mohammad
(1999)
"Division Criterion for Polynomials F{x},"
Hebron University Research Journal-A (Natural Sciences) - (مجلة جامعة الخليل للبحوث- أ (العلوم الطبيعيه: Vol. 1:
Iss.
2, Article 2.
Available at:
https://digitalcommons.aaru.edu.jo/hujr_a/vol1/iss2/2