New results obtained by serial concatenation of Hartmann Rudolph and Berlekamp-Massey decoders |
Hamza Faham, My Seddiq El Kasmi Alaoui, Said Nouh, Mohamed Azzouazi
Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
January 27, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: In digital communication and storage systems, the exchange of data is achieved using a communication channel that is not completely reliable. Therefore, detection and correction of possible errors are required by using error-correcting codes. Soft-decision decoding is an NP-Complete problem [1]. The Hartmann Rudolph (HR) algorithm [2] enables to decode a sequence symbol by symbol; it uses the dual space for finding the noised symbols. The dual space has in general a large dimension; therefore the HR algorithm has a high complexity. That is why we have suggested in [3] to use it partially ...