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We consider error decoding of locally repairable codes (LRC) and partial MDS (PMDS) codes through interleaved decoding. For a specific class of LRCs we investigate the success probability of interleaved decoding. For PMDS codes we show that…

Information Theory · Computer Science 2019-07-09 Lukas Holzbaur , Sven Puchinger , Antonia Wachter-Zeh

Channel coding alone is not sufficient to reliably transmit a message of finite length $K$ from a source to one or more destinations as in, e.g., file transfer. To ensure that no data is lost, it must be combined with rateless erasure…

Information Theory · Computer Science 2013-01-29 Christian Koller , Martin Haenggi , Joerg Kliewer , Daniel J. Costello

Binary LDPC coded relay systems have been well studied previously with the assumption of infinite codeword length. In this paper, we deal with non-binary LDPC codes which can outperform their binary counterpart especially for practical…

Information Theory · Computer Science 2011-08-17 Puripong Suthisopapan , Kenta Kasai , Anupap Meesomboon , Virasit Imtawil , Kohichi Sakaniwa

Constructions of locally decodable codes (LDCs) have one of two undesirable properties: low rate or high locality (polynomial in the length of the message). In settings where the encoder/decoder have already exchanged cryptographic keys and…

Cryptography and Security · Computer Science 2020-06-08 Jeremiah Blocki , Shubhang Kulkarni , Samson Zhou

Designing encoding and decoding circuits to reliably send messages over many uses of a noisy channel is a central problem in communication theory. When studying the optimal transmission rates achievable with asymptotically vanishing error…

Quantum Physics · Physics 2024-11-07 Matthias Christandl , Alexander Müller-Hermes

We recently showed in [1] the superiority of certain structured coding matrices ensembles (such as partial row-orthogonal) for sparse superposition codes when compared with purely random matrices with i.i.d. entries, both…

Information Theory · Computer Science 2022-07-12 YuHao Liu , Teng Fu , Jean Barbier , TianQi Hou

Consider the following communication scenario. An encoder observes a stochastic process and causally decides when and what to transmit about it, under a constraint on the expected number of bits transmitted per second. A decoder uses the…

Information Theory · Computer Science 2021-09-22 Nian Guo , Victoria Kostina

We formulate a model for intermittent communication that can capture bursty transmissions or a sporadically available channel, where in either case the receiver does not know a priori when the transmissions will occur. Focusing on the…

Information Theory · Computer Science 2017-03-20 Mostafa Khoshnevisan , J Nicholas Laneman

A general inner bound is given for the discrete memoryless broadcast channel with an arbitrary number of users and general message sets, a setting that accounts for the most general form of concurrent groupcasting, with messages intended…

Information Theory · Computer Science 2020-11-11 Henry Romero , Mahesh K. Varanasi

We consider the sequential transmission of a stream of messages over a block-fading multi-input-multi-output (MIMO) channel. A new message arrives at the beginning of each coherence block, and the decoder is required to output each message…

Information Theory · Computer Science 2014-08-13 Ashish Khisti , Stark Draper

Predictive coding is attractive for compression onboard of spacecrafts thanks to its low computational complexity, modest memory requirements and the ability to accurately control quality on a pixel-by-pixel basis. Traditionally, predictive…

Information Theory · Computer Science 2014-01-15 Diego Valsesia , Enrico Magli

As the mobile application landscape expands, wireless networks are tasked with supporting different connection profiles, including real-time traffic and delay-sensitive communications. Among many ensuing engineering challenges is the need…

Information Theory · Computer Science 2014-03-31 Fatemeh Hamidi-Sepehr , Jean-Francois Chamberland , Henry D. Pfister

In a real-time transmission scenario, messages are transmitted through a channel that is subject to packet loss. The destination must recover the messages within the required deadline. In this paper, we consider a setup where two different…

Information Theory · Computer Science 2024-11-01 Dingli Yuan , Zhiquan Tan , Zhongyi Huang

We construct error correcting codes for jointly transmitting a finite set of independent messages to an 'informed receiver' which has prior knowledge of the values of some subset of the messages as side information. The transmitter is…

Information Theory · Computer Science 2016-04-08 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

In this paper, we dynamically select the transmission rate and design wireless network coding to improve the quality of services such as delay for time critical applications. In a network coded system, with low transmission rate and hence…

Information Theory · Computer Science 2016-11-15 Xiumin Wang , Chau Yuen , Yinlong Xu

We prove that the ensemble the nested coset codes built on finite fields achieves the capacity of arbitrary discrete memoryless point-to-point channels. Exploiting it's algebraic structure, we develop a coding technique for communication…

Information Theory · Computer Science 2022-03-02 Arun Padakandla , Sandeep Pradhan

This paper derives an achievable rate-distortion (R-D) region for the state-dependent discrete memoryless multiple access channel (SD-DMMAC), where the generalized feedback and causal side information are present at encoders, and the…

Information Theory · Computer Science 2024-09-27 Xinyang Li , Vlad C. Andrei , Ullrich J. Mönich , Holger Boche

Channel coding for discrete memoryless channels (DMCs) with mean and variance cost constraints has been recently introduced. We show that there is an improvement in coding performance due to cost variability, both with and without feedback.…

Information Theory · Computer Science 2025-07-10 Adeel Mahmood , Aaron B. Wagner

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

Conventionally, posterior matching is investigated in channel coding and block encoding contexts -- the source symbols are equiprobably distributed and are entirely known by the encoder before the transmission. In this paper, we consider a…

Information Theory · Computer Science 2022-12-01 Nian Guo , Victoria Kostina