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A circulant-based spatially-coupled (SC) code is constructed by partitioning the circulants of an underlying block code into a number of components, and then coupling copies of these components together. By connecting (coupling) several SC…

Information Theory · Computer Science 2018-09-14 Homa Esfahanizadeh , Ahmed Hareedy , Lara Dolecek

Spatially-coupled (SC) codes are constructed by coupling many regular low-density parity-check codes in a chain. The decoding chain of SC codes stops when facing burst erasures. This problem can not be overcome by increasing coupling…

Information Theory · Computer Science 2013-02-07 Ryunosuke Ohashi , Kenta Kasai , Keigo Takeuchi

Because of their excellent asymptotic and finite-length performance, spatially-coupled (SC) codes are a class of low-density parity-check codes that is gaining increasing attention. Multi-dimensional (MD) SC codes are constructed by…

Information Theory · Computer Science 2025-10-08 Canberk İrimağzı , Ata Tanrıkulu , Ahmed Hareedy

Spatially-coupled (SC) codes are a class of low-density parity-check (LDPC) codes that is gaining increasing attention. Multi-dimensional (MD) SC codes are constructed by connecting copies of an SC code via relocations in order to mitigate…

Information Theory · Computer Science 2026-03-30 Ata Tanrıkulu , Mete Yıldırım , Ahmed Hareedy

Spatially-coupled (SC) codes are a family of graph-based codes that have attracted significant attention thanks to their capacity approaching performance and low decoding latency. An SC code is constructed by partitioning an underlying…

Information Theory · Computer Science 2018-02-20 Homa Esfahanizadeh , Ahmed Hareedy , Lara Dolecek

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

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

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

In this paper, we propose a non-uniform windowed decoder for multi-dimensional spatially-coupled LDPC (MD-SC-LDPC) codes over the binary erasure channel. An MD-SC-LDPC code is constructed by connecting together several SC-LDPC codes into…

Information Theory · Computer Science 2020-05-13 Lev Tauz , Homa Esfahanizadeh , Lara Dolecek

Spatially-coupled (SC) codes, known for their threshold saturation phenomenon and low-latency windowed decoding algorithms, are ideal for streaming applications. They also find application in various data storage systems because of their…

Information Theory · Computer Science 2021-01-26 Siyi Yang , Ahmed Hareedy , Shyam Venkatasubramanian , Robert Calderbank , Lara Dolecek

Because of their capacity-approaching performance and their complexity/latency advantages, spatially-coupled (SC) codes are among the most attractive error-correcting codes for use in modern dense data storage systems. SC codes are…

Information Theory · Computer Science 2020-05-26 Ahmed Hareedy , Ruiyi Wu , Lara Dolecek

Codes constructed from connected spatially coupled low-density parity-check code (SC-LDPCC) chains are proposed and analyzed. It is demonstrated that connecting coupled chains results in improved iterative decoding performance. The…

Information Theory · Computer Science 2012-08-27 Dmitri Truhachev , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello,

SC-LDPC codes with sub-block locality can be decoded locally at the level of sub-blocks that are much smaller than the full code block, thus providing fast access to the coded information. The same code can also be decoded globally using…

Information Theory · Computer Science 2020-05-28 Homa Esfahanizadeh , Eshed Ram , Yuval Cassuto , Lara Dolecek

Spatially-coupled (SC) codes, known for their threshold saturation phenomenon and low-latency windowed decoding algorithms, are ideal for streaming applications and data storage systems. SC codes are constructed by partitioning an…

Information Theory · Computer Science 2021-09-21 Siyi Yang , Ahmed Hareedy , Robert Calderbank , Lara Dolecek

In magnetic-recording systems, consecutive sections experience different signal to noise ratios (SNRs). To perform error correction over these systems, one approach is to use an individual block code for each section. However, the…

Information Theory · Computer Science 2018-07-02 Homa Esfahanizadeh , Ahmed Hareedy , Ruiyi Wu , Rick Galbraith , Lara Dolecek

A novel code construction based on spatially coupled low-density parity-check (SC-LDPC) codes is presented. The proposed code ensembles are described by protographs, comprised of several protograph-based chains characterizing individual…

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

Spatially-coupled (SC) codes are a class of low-density parity-check (LDPC) codes that have excellent performance thanks to the degrees of freedom they offer. An SC code is designed by partitioning a base matrix into components, the number…

Information Theory · Computer Science 2026-05-11 Bade Aksoy , Doğukan Özbayrak , Ahmed Hareedy

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

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 low-density parity-check (SC-LDPC) codes are a class of capacity approaching LDPC codes with low message recovery latency when a sliding window decoding is used. In this paper, we first present a new method for the…

Information Theory · Computer Science 2023-10-20 Zeinab Roostaie , Mohammad Gholami , Farzad Parvaresh
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