电讯技术Issue(7)：66-71,6.DOI:10.3969/j.issn.1001-893x.2014.07.012
基于伽罗华域高斯列消元法的 RS 码盲识别
Blind Recognition of RS Codes Based on Galois Field Columns Gaussian Elimination
摘要
Abstract
In order to solve the blind recognition problem of the high rate Reed Solomon(RS) codes,this paper presents a blind recognition method based on Galois Field columns Gaussian elimination. Firstly,code length and symbolic number are recognized by using the difference function of the matrix rank. Then the primitive polynomials corresponding to the number of symbol at this time are traversed. And the matrix is e-liminated with columns in Galois field. By using the difference of entropy,the primitive polynomial is identi-fied. Finally,as the code word polynomial roots are found,the continuous roots are the roots of the generator polynomial. Code length,the primitive polynomial and the generator polynomial are identified by the meth-od. The tedious process of Galois field Fourier transform is avoided. Simulation results show that the recog-nition probability is higher than 90% at an error code rate of 3×10-3 .关键词
RS 码/盲识别/伽罗华域/高斯列消元法Key words
RS codes/blind recognition/Galois field/columns Gaussian elimination分类
信息技术与安全科学引用本文复制引用
李灿,张天骐,刘瑜..基于伽罗华域高斯列消元法的 RS 码盲识别[J].电讯技术,2014,(7):66-71,6.基金项目
国家自然科学基金资助项目(61371164,61071196,61102131) （61371164,61071196,61102131）
信号与信息处理重庆市市级重点实验室建设项目(CSTC2009CA2003) （CSTC2009CA2003）
重庆市杰出青年基金项目(CSTC2011jjjq40002) （CSTC2011jjjq40002）
重庆市自然科学基金资助项目(CSTC2012JJA4008) （CSTC2012JJA4008）
重庆市教育委员会科研项目(KJ20525,KJ130524) Foundation Item:The National Natural Science Foundation of China(No.61371164,61071196,61102131) （KJ20525,KJ130524）
The Project of Key Laboratory of Signal and Information Processing of Chongqing ( CSTC2009CA2003) （ CSTC2009CA2003）
The Chongqing Distinguished Youth Foundation (CSTC2011jjjq40002) （CSTC2011jjjq40002）
The Natural Science Foundation of Chongqing ( CSTC2012JJA40008) （ CSTC2012JJA40008）
The Research Project of Chongqing Educational Commission(KJ120525,KJ130524) （KJ120525,KJ130524）
