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- Title
Blind Recognition of RS Codes Based on Galois Field Columns Gaussian Elimination.
- Authors
LI Can; ZHANG Tian-qi; LIU Yu
- 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 eliminated with columns in Galois field. By using the difference of entropy, the primitive polynomial is identified. 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 method. The tedious process of Galois field Fourier transform is avoided. Simulation results show that the recognition probability is higher than 90% at an error code rate of 3x10-3.
- Subjects
GAUSSIAN processes; GALOIS theory; FOURIER transforms; POLYNOMIALS; PROBABILITY theory
- Publication
Telecommunication Engineering, 2014, Vol 54, Issue 7, p926
- ISSN
1001-893X
- Publication type
Article
- DOI
10.3969/j.issn.1001-893x.2014.07.012