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Concatenated Constrained Coding: A New Approach to Efficient Constant-Weight Codes [PDF]
EntropyThe design of low-complexity and efficient constrained codes has been a major research item for many years. This paper reports on a versatile method named concatenated constrained codes for designing efficient fixed-length constrained codes with small ...
Kees Schouhamer Immink +3 more
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Serially Concatenated Polar Codes
IEEE Access, 2018 Simulation results show that the performance of polar codes is improved vastly by using polar codes as inner codes in serially concatenated coding schemes.
Erdal Arikan
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Concatenated codes with convolutional inner codes [PDF]
IEEE Transactions on Information Theory, 1988 We study the minimum distance of concatenated codes with Reed-Solomon outer codes and convolutional inner codes. For suitable combinations of parameters the minimum distance may be lower-bounded by the product of the minimum distances of the inner and outer codes.
V V Zyablov, J Justesen
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An Efficient Two-Stage Decoding Scheme for LDPC-CRC Concatenated Codes [PDF]
EntropyIn modern communication systems, the concatenation of a low-density parity-check (LDPC) code with a cyclic redundancy check (CRC) code is commonly used for error correction.
Lingjun Kong +3 more
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Performance analysis of concatenated Reed–Solomon and next generation polar codes for 6G communication systems [PDF]
Scientific ReportsBurst errors are common in high data rate communication, such as in the Six-Generation (6G) communication system, which degrades its ultra-high reliability requirements.
Edom Wondimu +2 more
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Gottesman-Kitaev-Preskill codes: A lattice perspective [PDF]
Quantum, 2022 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
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Generalized Concatenated Codes over Gaussian and Eisenstein Integers for Code-Based Cryptography
Cryptography, 2021 The code-based McEliece and Niederreiter cryptosystems are promising candidates for post-quantum public-key encryption. Recently, q-ary concatenated codes over Gaussian integers were proposed for the McEliece cryptosystem, together with the one-Mannheim ...
Johann-Philipp Thiers +1 more
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Concatenated Polar codes [PDF]
2010 IEEE International Symposium on Information Theory, 2010 Polar codes have attracted much recent attention as the first codes with low computational complexity that provably achieve optimal rate-regions for a large class of information-theoretic problems. One significant drawback, however, is that for current constructions the probability of error decays sub-exponentially in the block-length (more detailed ...
Mayank Bakshi +2 more
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Improved adaptive belief propagation algorithm with reduced complexity for concatenated SPC‐RS codes
Electronics Letters, 2023 In this letter, a novel single parity check‐aided minimum sum (SPC‐aided MS) algorithm is proposed. A cascaded compiled code scheme is used to approximate the adaptive belief propagation (ABP) algorithm for Reed–Solomon (RS) codes using the min sum (MS ...
Yuan Cheng +5 more
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Concatenated codes: serial and parallel [PDF]
IEEE International Symposium on Information Theory, 2003. Proceedings., 2003 An analogy is examined between serially concatenated codes and parallel concatenations whose interleavers are described by bipartite graphs with good expanding properties. In particular, a modified expander code construction is shown to behave very much like Forney's classical concatenated codes, though with improved decoding complexity.
Alexander Barg, Gilles Zémor
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