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A new class of spatially-coupled turbo-like codes (SC-TCs), dubbed generalized spatially coupled parallel concatenated codes (GSC-PCCs), is introduced. These codes are constructed by applying spatial coupling on parallel concatenated codes…

Information Theory · Computer Science 2022-02-25 Min Qiu , Xiaowei Wu , Jinhong Yuan , Alexandre Graell i Amat

This paper presents a new class of spatially coupled turbo-like codes (SC-TCs), namely half spatially coupled braided convolutional codes (HSC-BCCs) and half spatially coupled parallel concatenated codes (HSC-PCCs). Different from the…

Information Theory · Computer Science 2025-07-04 Xiaowei Wu , Lei Yang , Min Qiu , Chong Han , Jinhong Yuan

In this paper, we introduce the concept of spatially coupled turbo-like codes (SC-TCs) as the spatial coupling of a number of turbo-like code ensembles. In particular, we consider the spatial coupling of Berrou et al. parallel concatenated…

Information Theory · Computer Science 2017-10-03 Saeedeh Moloudi , Michael Lentmaier , Alexandre Graell i Amat

In this paper, we give an overview of spatially coupled turbo codes (SC-TCs), the spatial coupling of parallel and serially concatenated convolutional codes, recently introduced by the authors. For presentation purposes, we focus on…

Information Theory · Computer Science 2014-07-03 Alexandre Graell i Amat , Saeedeh Moloudi , Michael Lentmaier

Spatially coupled, parallel concatenated codes (SC-PCCs) have been shown to approach channel capacity when decoded using optimal iterative methods. However, under complexity constraints such decoding strategies can result in unacceptable…

Information Theory · Computer Science 2021-09-07 Andrew D. Cummins , David G. M. Mitchell , Daniel J. Costello,

In this paper, we introduce the concept of spatially coupled turbo codes (SC-TCs), as the turbo codes counterpart of spatially coupled low-density parity-check codes. We describe spatial coupling for both Berrou et al. and Benedetto et al.…

Information Theory · Computer Science 2014-07-23 Saeedeh Moloudi , Michael Lentmaier , Alexandre Graell i Amat

In this paper we propose a new class of spatially coupled codes based on repeat-accumulate protographs. We show that spatially coupled repeat-accumulate codes have several advantages over spatially coupled low-density parity-check codes…

Information Theory · Computer Science 2011-11-01 Sarah J. Johnson , Gottfried Lechner

In this paper, we propose new coupled codes constructed by overlapping circular spatially-coupled low-density parity-check (SC-LDPC) codes, which show better asymptotic and finite-length decoding performance compared to the conventional…

Information Theory · Computer Science 2018-03-28 Heeyoul Kwak , Bohwan Jun , Pilwoong Yang , Jong-Seon No , Dong-Joon Shin

In this paper, we investigate the impact of spatial coupling on the thresholds of turbo-like codes. Parallel concatenated and serially concatenated convolutional codes as well as braided convolutional codes (BCCs) are compared by means of…

Information Theory · Computer Science 2014-07-03 Michael Lentmaier , Saeedeh Moloudi , Alexandre Graell i Amat

Generalized low-density parity-check (GLDPC) codes are a class of LDPC codes in which the standard single parity check (SPC) constraints are replaced by constraints defined by a linear block code. These stronger constraints typically result…

Information Theory · Computer Science 2021-04-19 David G. M. Mitchell , Pablo M. Olmos , Michael Lentmaier , Daniel J. Costello

Families of generalized spatially-coupled low-density parity-check (GSC-LDPC) code ensembles can be formed by terminating protograph-based generalized LDPC convolutional (GLDPCC) codes. It has previously been shown that ensembles of…

Information Theory · Computer Science 2016-11-18 David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

Generalized product codes (GPCs) are extensions of product codes (PCs) where code symbols are protected by two component codes but not necessarily arranged in a rectangular array. We consider a deterministic construction of GPCs (as opposed…

Information Theory · Computer Science 2017-02-28 Christian Häger , Henry D. Pfister , Alexandre Graell i Amat , Fredrik Brännström

Spatially-coupled (SC) codes is a class of convolutional LDPC codes that has been well investigated in classical coding theory thanks to their high performance and compatibility with low-latency decoders. We describe toric codes as quantum…

Quantum Physics · Physics 2025-04-09 Siyi Yang , Robert Calderbank

Iterative decoding techniques have gain popularity due to their performance and their application in most communications systems. In this paper, we present a new application of our iterative decoder on the GPCB (Generalized Parallel…

Information Theory · Computer Science 2012-11-14 Hamid Allouch , Idriss Chana , Mostafa Belkasmi

Partially information coupled turbo codes (PIC-TCs) is a class of spatially coupled turbo codes that can approach the BEC capacity while keeping the encoding and decoding architectures of the underlying component codes unchanged. However,…

Information Theory · Computer Science 2020-06-23 Xiaowei Wu , Min Qiu , Jinhong Yuan

Generalized quasi-cyclic (GQC) codes form a natural generalization of quasi-cyclic (QC) codes. They are viewed here as mixed alphabet codes over a family of ring alphabets. Decomposing these rings into local rings by the Chinese Remainder…

Information Theory · Computer Science 2017-02-02 Cem Güneri , Ferruh Özbudak , Buket Özkaya , Elif Saçıkara , Zahra Sepasdar , Patrick Solé

Generalized product codes (GPCs) are extensions of product codes (PCs) where coded bits are protected by two component codes but not necessarily arranged in a rectangular array. It has recently been shown that there exists a large class of…

Information Theory · Computer Science 2016-06-22 Christian Häger , Alexandre Graell i Amat , Henry D. Pfister , Fredrik Brännström

Spatially coupled serially concatenated codes (SC-SCCs) are a class of spatially coupled turbo-like codes, which have a close-to-capacity performance and low error floor. In this paper we investigate the impact of coupling memory, block…

Information Theory · Computer Science 2021-07-27 Mojtaba Mahdavi , Muhammad Umar Farooq , Liang Liu , Ove Edfors , Viktor Öwall , Michael Lentmaier

Spatially-Coupled (SC)-LDPC codes are known to have outstanding error-correction performance and low decoding latency. Whereas previous works on LDPC and SC-LDPC codes mostly take either an asymptotic or a finite-length design approach, in…

Information Theory · Computer Science 2022-09-02 Homa Esfahanizadeh , Eshed Ram , Yuval Cassuto , Lara Dolecek

We introduce and analyze a new type of decoding algorithm called General Color Clustering (GCC), based on renormalization group methods, to be used in qudit color codes. The performance of this decoder is analyzed under code capacity…

Quantum Physics · Physics 2017-11-20 Jacob Marks , Tomas Jochym-O'Connor , Vlad Gheorghiu
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