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Rateless codes have been shown to provide robust error correction over a wide range of binary and noisy channels. Using a stochastic geometry model, this paper studies the performance of rateless codes in the cellular downlink and compares…

Information Theory · Computer Science 2017-02-27 Amogh Rajanna , Martin Haenggi

We study the broadcast transmission of a single file to an arbitrary number of receivers using Random Linear Network Coding (RLNC) in a network with unreliable channels. Due to the increased computational complexity of the decoding process…

Information Theory · Computer Science 2017-06-12 Emmanouil Skevakis , Ioannis Lambadaris , Hassan Halabian

This thesis makes several significant contributions to the theory of both Regenerating (RG) and Locally Recoverable (LR) codes. The two principal contributions are characterizing the optimal rate of an LR code designed to recover from $t$…

Information Theory · Computer Science 2018-06-13 S. B. Balaji , P. Vijay Kumar

This paper introduces a new scheme of LT codes, named multiple configurations. In multiple configurations LT codes (MC-LT codes), multiple sets of output symbols are simultaneously provided to receivers for recovering the source data. Each…

Information Theory · Computer Science 2015-10-08 Pei-Chuan Tsai , Chih-Ming Chen , Ying-ping Chen

Set reconciliation, where two parties hold fixed-length bit strings and run a protocol to learn the strings they are missing from each other, is a fundamental task in many distributed systems. We present Rateless Invertible Bloom Lookup…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-21 Lei Yang , Yossi Gilad , Mohammad Alizadeh

In this paper we investigate the decoding of parallel turbo codes over the binary erasure channel suited for upper-layer error correction. The proposed algorithm performs on-the-fly decoding, i.e. it starts decoding as soon as the first…

Information Theory · Computer Science 2008-03-13 Ghassan M. Kraidy , Valentin Savin

In this paper, we introduce novel coding schemes for wireless networks with random transmission delays. These coding schemes obviate the need for synchronicity, reduce the number of transmissions and achieve the optimal rate region in the…

Information Theory · Computer Science 2015-03-04 Niv Voskoboynik , Haim H. Permuter , Asaf Cohen

We investigate iterative low-resolution message-passing algorithms for quasi-cyclic LDPC codes with horizontal and vertical layered schedules. Coarse quantization and layered scheduling are highly relevant for hardware implementations to…

Information Theory · Computer Science 2022-12-19 Philipp Mohr , Gerhard Bauch

Fountain codes are becoming increasingly important for data transferring over dedicated high-speed long-distance network. However, the encoding and decoding complexity of traditional fountain codes such as LT and Raptor codes are still…

Networking and Internet Architecture · Computer Science 2013-05-13 Jianxin Liao , Lei Zhang , Xiaomin Zhu , Jingyu Wang , Minyan Liao

Recent advances in neuromorphic signal processing have introduced time encoding machines as a promising alternative to conventional uniform sampling for low-power communication receivers. In this paradigm, analog signals are converted into…

Signal Processing · Electrical Eng. & Systems 2026-02-25 Neil Irwin Bernardo

This paper studies channel coding for the discrete memoryless multiple-access channel with a given (possibly suboptimal) decoding rule. A multi-letter successive decoding rule depending on an arbitrary non-negative decoding metric is…

Information Theory · Computer Science 2017-12-08 Jonathan Scarlett , Alfonso Martinez , Albert Guillén i Fàbregas

In this paper, we propose a methodology to compute the optimal finite-length coding rate for random linear network coding schemes over a line network. To do so, we first model the encoding, reencoding, and decoding process of different…

Networking and Internet Architecture · Computer Science 2018-05-16 Tan Do-Duy , M. Ángeles Vázquez-Castro

We consider distributed Luby transform (DLT) codes for efficient packet transmission in a multi-way relay network, where the links are modeled as erasure channels. Density evolution is applied for asymptotic performance analysis, and…

Information Theory · Computer Science 2014-10-02 Iqbal Hussain , Ming Xiao , Lars K. Rasmussen

We initiate a study of locally decodable codes with randomized encoding. Standard locally decodable codes are error correcting codes with a deterministic encoding function and a randomized decoding function, such that any desired message…

Information Theory · Computer Science 2020-01-14 Kuan Cheng , Xin Li , Yu Zheng

Rateless codes have been shown to be able to provide greater flexibility and efficiency than fixed-rate codes for multicast applications. In the following, we optimize rateless codes for unequal error protection (UEP) for multimedia…

Information Theory · Computer Science 2015-01-13 Yu Cao , Steven D. Blostein , Wai-Yip Chan

We continue the study of rateless codes for transmission of information across channels whose rate of erasure is unknown. In such a code, an infinite stream of encoding symbols can be generated from the message and sent across the erasure…

Information Theory · Computer Science 2021-01-28 Shashwat Silas

Inspired by the context of compressing encrypted sources, this paper considers the general tradeoff between rate, end-to-end delay, and probability of error for lossless source coding with side-information. The notion of end-to-end delay is…

Information Theory · Computer Science 2007-12-07 Cheng Chang , Anant Sahai

This paper investigates variable-length stop-feedback codes for memoryless channels in point-to-point, multiple access, and random access communication scenarios. The proposed codes employ $L$ decoding times $n_1, n_2, \dots, n_L$ for the…

Information Theory · Computer Science 2023-12-12 Recep Can Yavas , Victoria Kostina , Michelle Effros

For discrete memoryless multiple-access channels, we propose a general definition of variable length codes with a measure of the transmission rates at the receiver side. This gives a receiver perspective on the multiple-access channel…

Information Theory · Computer Science 2011-02-28 Stephane Musy

Locally recoverable (LRC) codes have recently been a focus point of research in coding theory due to their theoretical appeal and applications in distributed storage systems. In an LRC code, any erased symbol of a codeword can be recovered…

Information Theory · Computer Science 2018-05-16 Abhishek Agarwal , Alexander Barg , Sihuang Hu , Arya Mazumdar , Itzhak Tamo