Method for correcting both errors and erasures of RS codes using error‐only and erasure‐only decoding algorithms

2013 ◽  
Vol 49 (15) ◽  
pp. 940-941
Author(s):  
Erl‐Huei Lu ◽  
Pen‐Yao Lu ◽  
Tso‐Cho Chen
Keyword(s):  

Ree omon that is d-SolRS) c odes are mostly us e d to get and proper errors in transmission systems and also s torage de vices . The des igner should also just take into account the event of faults into the encoder and s ubs ys temswhe n RS codes are used for reliable systems . The s RS that is elf-checking enc architecture is presente d i n this paper . The RS encoder architecture age exploits some proper ties regarding the operations which can be arithmetic Galois Field (GF(2m)).Thes e properties are rel ate d to the parity of the bi nar y re presentation regarding the elements associated with the Galois Field.In this paper , enables i mplementing c oncurre mistake that is nttection s che me us eful for a wi de range of different decoding algorithms without any inter venti on in the decoder architecture. More over, performances in terms of area and delayoverhe advertisement for the propos e d ci rcuits are presente d.


2021 ◽  
Vol 1847 (1) ◽  
pp. 012027
Author(s):  
A A Balagura ◽  
O V Kuzmin
Keyword(s):  

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Hocine Fekih ◽  
Boubakar Seddik Bouazza ◽  
Keltoum Nouri

AbstractRecently, using iterative decoding algorithms to achieve an interesting bit error rate for spectrally efficient modulation become a necessity for optical transmission, in this paper, we propose a coded modulation scheme based on bit interleaving circular recursive systematic convolutional (CRSC) code and 16-QAM modulation. The proposal system considered as a serial concatenation of a channel encoder, a bit interleaver and M-ary modulator can be flexible easy to implement using a short code length. For a spectral efficiency $\eta =3\text{bit}/s/Hz$, the coding gain at a bit error rate of 10−6 is about 8 dB.


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