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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

Over the past 10 years, low-power wireless networks have transitioned to supporting IPv6 connectivity through 6LoWPAN, a set of standards which specify how to aggressively compress IPv6 packets over low-power wireless links such as…

Networking and Internet Architecture · Computer Science 2020-01-23 Hudson Ayers , Paul Crews , Hubert Teo , Conor McAvity , Amit Levy , Philip Levis

In this work, we propose the integration of GLDPC codes with short polar-like component codes, termed GLDPC codes with polar component codes (GLDPC-PC). This approach leverages the good distance properties of polar-like codes and mitigates…

Information Theory · Computer Science 2024-05-10 Binghui Shi , Yongpeng Wu , Yin Xu , Xiqi Gao , Xiaohu You , Wenjun Zhang

The booming of Internet-of-Things (IoT) is expected to provide more intelligent and reliable communication services for higher network coverage, massive connectivity, and low-cost solutions for 6G services. However, frequent charging and…

Information Theory · Computer Science 2024-05-06 Ticao Zhang , Dennis Hui , Mehrnaz Afshang , Mohammad Mozaffari

In our recent paper entitled "Quantum Quasi-Cyclic Low-Density Parity-Check codes" [ICIC 2009. LNCS 5754], it was claimed that some new quantum codes can be constructed via the CSS encoding/decoding approach with various lengths and rates.…

Information Theory · Computer Science 2015-03-14 Dazu Huang , Zhigang Chen , Xin Li , Ying Guo

Lightweight block ciphers have been widely used in applications such as RFID tags, IoTs, and network sensors. Among them, with comparable parameters, the Light Encryption Device (LED) block cipher achieves the smallest area. However,…

Cryptography and Security · Computer Science 2021-08-30 Yuan Yao , Mo Yang , Pantea Kiaei , Patrick Schaumont

A recent e-print (cond-mat/0604532) presented a proposed Comment to Applied Physics Letters on our publication Appl. Phys. Lett. 88, 162503 (2006), cond-mat/0603260. Here is our Response. As the proposed Comment has now been rejected by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael E. Flatté , Kimberley C. Hall

This paper has been withdrawn by the author, since now all four parts of the review are available as a single file 0804.1639. I also made some revision of the text in order to avoid misprints and some inaccurate expressions.

Other Condensed Matter · Physics 2008-07-21 A. M. Panich

In this work, we address the low-complexity construction of shortened and punctured polar codes from a unified view. While several independent puncturing and shortening designs were attempted in the literature, our goal is a unique,…

Information Theory · Computer Science 2017-01-24 Valerio Bioglio , Frederic Gabry , Ingmar Land

A new type of spatially coupled low-density parity-check (SC-LDPC) codes motivated by practical storage applications is presented. SC-LDPCL codes (suffix 'L' stands for locality) can be decoded locally at the level of sub-blocks that are…

Information Theory · Computer Science 2020-09-29 Eshed Ram , Yuval Cassuto

This paper reviews the potential channel decoding techniques for ultra-reliable low-latency communications (URLLC). URLLC is renowned for its stringent requirements including ultra-reliability, low end-to-end transmission latency, and…

Information Theory · Computer Science 2022-12-26 Chentao Yue , Vera Miloslavskaya , Mahyar Shirvanimoghaddam , Branka Vucetic , Yonghui Li

In his thesis, Wiberg showed the existence of thresholds for families of regular low-density parity-check codes under min-sum algorithm decoding. He also derived analytic bounds on these thresholds. In this paper, we formulate similar…

Information Theory · Computer Science 2007-07-16 Ralf Koetter , Pascal O. Vontobel

Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies…

Information Theory · Computer Science 2010-05-31 Lav R. Varshney

We study spatially coupled LDPC codes that allow access to sub-blocks much smaller than the full code block. Sub-block access is realized by a semi-global decoder that decodes a chosen target sub-block by only accessing the target, plus a…

Information Theory · Computer Science 2020-10-22 Eshed Ram , Yuval Cassuto

We present a new class of irregular low-density parity-check (LDPC) codes for moderate block lengths (up to a few thousand bits) that are well-suited for rate-compatible puncturing. The proposed codes show good performance under puncturing…

Information Theory · Computer Science 2016-11-18 Jaehong Kim , Aditya Ramamoorthy , Steven W. McLaughlin

This paper considers the performance of $(j,k)$-regular low-density parity-check (LDPC) codes with message-passing (MP) decoding algorithms in the high-rate regime. In particular, we derive the high-rate scaling law for MP decoding of LDPC…

Information Theory · Computer Science 2012-02-01 Fan Zhang , Henry D. Pfister

Decoders for Low Density Parity Check (LDPC) codes are usually tailored to an application and optimized once the specific content and structure of the parity matrix are known. In this work we consider the parity matrix as an argument of the…

Information Theory · Computer Science 2025-07-15 Omer Shimon Sella , Thomas Heinis

We investigate the construction of weakly-secure index codes for a sender to send messages to multiple receivers with side information in the presence of an eavesdropper. We derive a sufficient and necessary condition for the existence of…

Information Theory · Computer Science 2016-11-17 Lawrence Ong , Badri N. Vellambi , Phee Lep Yeoh , Jörg Kliewer , Jinhong Yuan

Approaching capacity with low complexity is a very challenging task. In this paper, we review and compare three promising coding solutions to achieve that, which are suitable for future very high-throughput, low-complexity optical…

Information Theory · Computer Science 2019-09-20 Alexandre Graell i Amat , Gianluigi Liva , Fabian Steiner

Polar codes are a new class of capacity-achieving error-correcting codes with low encoding and decoding complexity. Their low-complexity decoding algorithms rendering them attractive for use in software-defined radio applications where…

Information Theory · Computer Science 2016-07-12 Pascal Giard , Gabi Sarkis , Camille Leroux , Claude Thibeault , Warren J. Gross