Blind Recognition of Binary Primitive BCH Codes Based on Polynomial Roots Statistic of Finite Fields

Abstract

We have recently proposed a problem about blind recognition of binary primitive BCH Codes. A model was established based on the polynomial roots statistic of finite fields. The roots probabilities of BCH codes were analyzed and the recognition method for binary BCH codes based on polynomial roots statistic of finite fields was proposed. In the paper we showed that the binary primitive BCH Codes could be completely recognized in theoretical analysis and simulation experiment showed the better performance of the recognition method though in high BER.