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A complete classification of the perfect binary one-error-correcting codes of length 15 as well as their extensions of length 16 was recently carried out in [P. R. J. \"Osterg{\aa}rd and O. Pottonen, "The perfect binary one-error-correcting…

Information Theory · Computer Science 2010-10-07 Patric R. J. Östergård , Olli Pottonen , Kevin T. Phelps

A new channel coding approach was proposed in [1] for random multiple access communication over the discrete-time memoryless channel. The coding approach allows users to choose their communication rates independently without sharing the…

Information Theory · Computer Science 2016-11-15 Zheng Wang , Jie Luo

We propose a low-complexity method to find quasi-cyclic low-density parity-check block codes with girth 10 or 12 and shorter length than those designed through classical approaches. The method is extended to time-invariant spatially coupled…

Information Theory · Computer Science 2018-04-19 Mohammad H. Tadayon , Alireza Tasdighi , Massimo Battaglioni , Marco Baldi , Franco Chiaraluce

A polar-coded transmission (PCT) scheme with joint channel estimation and decoding is proposed for channels with unknown channel state information (CSI). The CSI is estimated via successive cancellation (SC) decoding and the constraints…

Information Theory · Computer Science 2021-02-23 Peihong Yuan , Mustafa Cemil Coşkun , Gerhard Kramer

The new 5G communications standard increases data rates and supports low-latency communication that places constraints on the computational complexity of channel decoders. 5G low-density parity-check (LDPC) codes have the so-called…

Signal Processing · Electrical Eng. & Systems 2019-12-05 Maximilian Stark , Linfang Wang , Richard D. Wesel , Gerhard Bauch

This paper presents a refined analysis of the block error rate (BLER) of polar codes over symmetric binary-input discrete memoryless channels under successive cancellation (SC) and successive cancellation list (SCL) decoding. A novel…

Information Theory · Computer Science 2026-03-23 Hassan Noghrei , Murad Abdullah

Polar codes has been selected as the channel coding scheme for 5G new radio (NR) control channel. Specifically, a special type of parity-check polar (PC-Polar) codes was adopted in uplink control information (UCI). In this paper, we propose…

Information Theory · Computer Science 2020-07-03 Jiajie Tong , Huazi Zhang , Xianbin Wang , Shengchen Dai , Rong Li , Jun Wang

Maximum run-length limited codes are constraint codes used in communication and data storage systems. Insertion/deletion correcting codes correct insertion or deletion errors caused in transmitted sequences and are used for combating…

Information Theory · Computer Science 2020-12-29 Reona Takemoto , Takayuki Nozaki

To address the need of coverage enhancement in the fifth generation (5G) of wireless cellular telecommunications, while taking into account possible bottlenecks related to deploying fiber based backhaul (e.g., required cost and time), the…

Networking and Internet Architecture · Computer Science 2024-07-04 Gabriel C. M. da Silva , Diego A. Sousa , Victor F. Monteiro , Darlan C. Moreira , Tarcisio F. Maciel , Fco. Rafael M. Lima , Behrooz Makki

Generalized low-density parity-check (GLDPC) codes, where single parity-check constraints on the code bits are replaced with generalized constraints (an arbitrary linear code), are a promising class of codes for low-latency communication.…

Information Theory · Computer Science 2025-08-12 Roxana Smarandache , David G. M. Mitchell , Anthony Gómez-Fonseca

Polar codes have been selected as the channel coding scheme for control channel in the fifth generation (5G) communication system thanks to their capacity achieving characteristics. However, the traditional polar codes support only codes…

Information Theory · Computer Science 2023-05-16 Hossein Rezaei , Nandana Rajatheva , Matti Latva-aho

The fifth-generation (5G) of mobile standards is expected to provide ultra-reliability and low-latency communications (URLLC) for various applications and services, such as online gaming, wireless industrial control, augmented reality, and…

Networking and Internet Architecture · Computer Science 2021-07-01 Faisal Nadeem , Mahyar Shirvanimoghaddam , Yonghui Li , Branka Vucetic

Most low-density parity-check (LDPC) code constructions are considered over finite fields. In this work, we focus on regular LDPC codes over integer residue rings and analyze their performance with respect to the Lee metric. Their…

Information Theory · Computer Science 2024-08-01 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

5G is envisioned to support three broad categories of services: eMBB, URLLC, and mMTC. URLLC services refer to future applications which require reliable data communications from one end to another, while fulfilling ultra-low latency…

Signal Processing · Electrical Eng. & Systems 2018-08-23 Thomas Fehrenbach , Rohit Datta , Barış Göktepe , Thomas Wirth , Cornelius Hellge

Recent studies have shown the potential performance gain of Non Uniform Constellations (NUC) compared to the conventional uniform constellations. NUC can be a promising candidate in 5G systems to increase the data throughput. In the…

Information Theory · Computer Science 2018-04-04 Belkacem Mouhouche , Mohammed Al-Imari , Daniel Ansorregui

Convolutional network-error correcting codes (CNECCs) are known to provide error correcting capability in acyclic instantaneous networks within the network coding paradigm under small field size conditions. In this work, we investigate the…

Information Theory · Computer Science 2010-01-08 K. Prasad , B. Sundar Rajan

In this paper, we introduce the notion of perfect space-time block codes (STBC). These codes have full rate, full diversity, non-vanishing constant minimum determinant for increasing spectral efficiency, uniform average transmitted energy…

Information Theory · Computer Science 2007-07-16 F. Oggier , G. Rekaya-Ben Othman , J. -C. Belfiore , E. Viterbo

For efficient modulation and error control coding, the deliberate flipping approach imposes the run-length-limited(RLL) constraint by bit error before recording. From the read side, a high coding rate limits the correcting capability of RLL…

Information Theory · Computer Science 2023-10-11 Hong-fu Chou

5G has been designed to support applications such as connected and automated driving. To this aim, 5G includes a highly flexible New Radio (NR) interface that can be configured to utilize different subcarrier spacings (SCS), slot durations,…

Networking and Internet Architecture · Computer Science 2022-09-02 M. C. Lucas-Estañ , B. Coll-Perales , T. Shimizu , J. Gozalvez , T. Higuchi , S. Avedisov , O. Altintas , M. Sepulcre

The use of Space-Time Block Codes (STBCs) increases significantly the optimal detection complexity at the receiver unless the low-complexity decodability property is taken into consideration in the STBC design. In this paper we propose a…

Information Theory · Computer Science 2016-11-17 Amr Ismail , Jocelyn Fiorina , Hikmet Sari