Concatenated Forward Error Correction With KP4 and Single Parity Check Codes [PDF]
Concatenated forward error correction is studied using an outer KP4 Reed-Solomon code with hard-decision decoding and inner single parity check (SPC) codes with Chase/Wagner soft-decision decoding. Analytical expressions are derived for the end-to-end frame and bit error rates for transmission over additive white Gaussian noise channels with binary ...
Diego Lentner+5 more
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Concatenated Quantum Codes Constructible in Polynomial Time: Efficient Decoding and Error Correction [PDF]
A method for concatenating quantum error-correcting codes is presented. The method is applicable to a wide class of quantum error-correcting codes known as Calderbank-Shor-Steane (CSS) codes. As a result, codes that achieve a high rate in the Shannon theoretic sense and that are decodable in polynomial time are presented.
Mitsuru Hamada
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Restart Mechanisms for the Successive-Cancellation List-Flip Decoding of Polar Codes [PDF]
Polar codes concatenated with a cyclic redundancy check (CRC) code have been selected in the 5G standard with the successive-cancellation list (SCL) of list size L = 8 as the baseline algorithm.
Charles Pillet+3 more
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A Concatenated Error-Correction System Using the $$|u|u+v|$$ Code Construction [PDF]
Concatenation of good codes is a classic method of constructing longer codes which are good codes. As codes are increased in length it becomes progressively harder to realise a near maximum likelihood decoder. This chapter presents a novel concatenated code arrangement featuring multiple, near maximum likelihood, decoders designed for an optimised ...
Martin Tomlinson+4 more
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Error Correction for Physical Unclonable Functions Using Generalized Concatenated Codes
Physical Unclonable Functions can be used for secure key generation in cryptographic applications. It is explained how methods from coding theory must be applied in order to ensure reliable key regeneration. Based on previous work, we show ways how to obtain better results with respect to error probability and codeword length. Also, an example based on
Sven Müelich+4 more
+6 more sources
Guaranteed error correction rate for a simple concatenated coding scheme with single-trial decoding
We consider a concatenated coding scheme using a single inner code, a single outer code, and a fixed single-trial decoding strategy that maximizes the number of errors guaranteed to be corrected in a concatenated codeword. For this scheme, we investigate whether maximizing the guaranteed error correction rate, i.e., the number of correctable errors per
Jos H. Weber, Khaled Abdel-Ghaffar
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Study on Error Correction Capability of Simple Concatenated Polar Codes
Polar codes ware mathematically proven to achieve the Shannon limit, where the error probability is reduced with the help of frozen bits. Since the frozen bits are detrimental in terms of transmission efficiency, this paper investigates the importance of the frozen bits and the possibility of being replaced by other protected bits via a concatenation ...
Robin Sinurat+3 more
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One of the approaches to organization of error correcting coding for multilevel flash memory is based on concatenated construction, in particular, on multidimensional lattices for inner coding. A characteristic feature of such structures is the dominance of the complexity of the outer decoder in the total decoder complexity.
Feliks Taubin, Andrey Trofimov
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Gottesman-Kitaev-Preskill codes: A lattice perspective [PDF]
We examine general Gottesman-Kitaev-Preskill (GKP) codes for continuous-variable quantum error correction, including concatenated GKP codes, through the lens of lattice theory, in order to better understand the structure of this class of stabilizer codes.
Jonathan Conrad+2 more
doaj +1 more source
Improved DC-Free Run-Length Limited 4B6B Codes for Concatenated Schemes
In this letter, we introduce a class of improved DC-free 4B6B codes in terms of error correction capabilities for a serially concatenated architecture. There are billions of different codebooks that can be derived from the 16 codewords contained in the ...
Elie Ngomseu Mambou+2 more
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