eISSN:2278-5299

International Journal of Latest Research in Science and Technology

DOI:10.29111/ijlrst   ISRA Impact Factor:3.35,  Peer-reviewed, Open-access Journal

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BCH Codes Decoder Based on Euclid Algorithm

Open Access

International Journal of Latest Research in Science and Technology Vol.8 Issue 3, pp 0-0,Year 2019

BCH CODES DECODER BASED ON EUCLID ALGORITHM

B I Filippov

Received : 10 May 2019; Accepted : 26 June 2019 ; Published : 30 June 2019

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Article No. 10975
Abstract

In the process of algebraic decoding of BCH codes over the field GF(q) with the word length n = qm-1, correcting t errors, both in the time and frequency domains, it is necessary to find the error locator polynomial Λ(x) as the least polynomial for which the key equation. Berlekamp proposed a simple iterative scheme, which was called the Berlekamp-Messi algorithm, and is currently used in most practical applications. Comparative statistical tests of the proposed decoder and decoder using the Berlikamp-Messi algorithm showed that they differ slightly in decoding speed. The proposed algorithm is implemented in the environment in Turbo Pascal and can be used for the entire family of BCH codes by replacing the primitive Galois polynomial.

Key Words   
Berlekamp-Messi algorithm, Euclidean algorithm, BCH codes, Galois polynomial, decoder
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References
  1. Clark J and Kane J 1987 Coding with error correction in digital communication systems (Moscow: Trans. from English/Ed. Tsybakov B S, Pub.: Radio and communication) 392 p.
  2. Blehut R 1986 Theory and Practice of Error Control Codes (Moscow: Trans. from English/Ed. Zigangirov K Sh, Pub.: World) 576 p.
  3. Filippov B I 2015 Radio engineering systems (Novosibirsk: Filippov B I, NSTU Publishing House) 386 p.
To cite this article

B I Filippov , " Bch Codes Decoder Based On Euclid Algorithm ", International Journal of Latest Research in Science and Technology . Vol. 8, Issue 3, pp 0-0 , 2019


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