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Parameters of BCH codes

2018
The theory of error-correcting codes is a key pillar in modern digital communications. By introducing redundancy into codewords, error-correcting codes make messages robust against noises in communication channels. In 1948, Shannon proved that arbitrarily reliable communications are possible with the help of error-correcting codes.
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BCH codes as polynomial codes

1992
Abstract The polynomial corresponding to a word w will be denoted by w(x), using the same letter, indeed we shall eventually identify words and polynomials. The set of all binary polynomials of degree less than n will be denoted by Pn (P for polynomial, but note that the maximum degree is n -1).
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On decoding BCH codes

IEEE Transactions on Information Theory, 1965
The Gorenstein-Zierler decoding algorithm for BCH codes is extended, modified, and analyzed; in particular, we show how to correct erasures as well as errors, exhibit improved procedures for finding error and erasure values, and consider in some detail the implementation of these procedures in a special-purpose computer.
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Some New Quantum Codes from Constacyclic BCH Codes

International Journal of Theoretical Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Ping   +3 more
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BCH Codes

1999
Irving S. Reed, Xuemin Chen
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BCH-Codes

1998
Herbert Schneider-Obermann   +1 more
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BCH Codes with Minimum Distance Proportional to Code Length

SIAM Journal on Discrete Mathematics, 2021
Xiao-Nan Lu, Ying Miao
exaly  

Fast Blind Recognition of BCH Code Based on Spectral Analysis and Probability Statistics

IEEE Communications Letters, 2021
燕燕 常, Wei Zhang, Hao Wang
exaly  

The Dual Codes of Several Classes of BCH Codes

IEEE Transactions on Information Theory, 2022
Binkai Gong, Ding, Cunsheng, Chengju Li
exaly  

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