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This work considers a layered coding approach for efficient transmission of data over a wireless block fading channel without transmitter channel state information (CSI), which is connected to a limited capacity reliable link, known as the…

Information Theory · Computer Science 2020-05-01 Avi Steiner , Shlomo Shamai

In this paper, we investigate the necessity of finite blocklength codes in distributed transmission of independent message sets over channels with feedback. Previously, it was shown that finite effective length codes are necessary in…

Information Theory · Computer Science 2018-01-17 Mohsen Heidari , Farhad Shirani , S. Sandeep Pradhan

This paper considers quantum network coding, which is a recent technique that enables quantum information to be sent on complex networks at higher rates than by using straightforward routing strategies. Kobayashi et al. have recently showed…

Quantum Physics · Physics 2015-06-05 Takahiko Satoh , Francois Le Gall , Hiroshi Imai

Models for noncoherent error control in random linear network coding (RLNC) and store and forward (SAF) have been recently proposed. In this paper, we model different types of random network communications as the transmission of flats of…

Information Theory · Computer Science 2015-03-13 Maximilien Gadouleau , Alban Goupil

The vertex coloring problem has received a lot of attention in the context of synchronous round-based systems where, at each round, a process can send a message to all its neighbors, and receive a message from each of them. Hence, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-13 Hicham Lakhlef , Michel Raynal , François Taïani

Entanglement-assisted classical communication (EACC) aims to enhance communication systems using entanglement as an additional resource. However, there is a scarcity of explicit protocols designed for finite transmission scenarios, which…

Quantum Physics · Physics 2025-02-04 Tushita Prasad , Markus Grassl

The capacity of a class of deterministic relay channels with the transmitter input X, the receiver output Y, the relay output Y_1 = f(X, Y), and a separate communication link from the relay to the receiver with capacity R_0, is shown to be…

Information Theory · Computer Science 2016-11-18 Thomas M. Cover , Young-Han Kim

Recently, there has been an increasing interest in designing distributed convex optimization algorithms under the setting where the data matrix is partitioned on features. Algorithms under this setting sometimes have many advantages over…

Machine Learning · Computer Science 2016-12-05 Zihao Chen , Luo Luo , Zhihua Zhang

This paper is Part II of a two-paper set which develops a finest-grain per-molecule timing treatment of molecular communication. We first consider a simple one-molecule timing channel with a molecule launch deadline, similar to but…

Emerging Technologies · Computer Science 2020-09-22 Christopher Rose , Ismat Saira Mian

Characterization of the delay profile of systems employing random linear network coding is important for the reliable provision of broadcast services. Previous studies focused on network coding over large finite fields or developed Markov…

Information Theory · Computer Science 2022-03-08 Ioannis Chatzigeorgiou , Andrea Tassi

A vector-circulant matrix is a natural generalization of the classical circulant matrix and has applications in constructing additive codes. This article formulates the concept of a vector-circulant matrix over finite fields and gives an…

Rings and Algebras · Mathematics 2014-08-12 Somphong Jitman

We examine the issue of separation and code design for networks that operate over finite fields. We demonstrate that source-channel (or source-network) separation holds for several canonical network examples like the noisy multiple access…

Information Theory · Computer Science 2007-07-13 Siddharth Ray , Michelle Effros , Muriel Medard , Ralf Koetter , Tracey Ho , David Karger , Jinane Abounadi

A diamond network is considered in which the central processor is connected, via backhaul noiseless links, to multiple conferencing base stations, which communicate with a single user over a multiple access channel. We propose coding…

Information Theory · Computer Science 2022-05-05 Michael Dikshtein , Shirin Saeedi Bidokhti , Shlomo Shamai

Vector perturbation is an encoding method for broadcast channels in which the transmitter solves a shortest vector problem in a lattice to create a perturbation vector, which is then added to the data before transmission. In this work, we…

Information Theory · Computer Science 2016-04-26 David A. Karpuk , Amaro Barreal , Oliver W. Gnilke , Camilla Hollanti

Low-capacity scenarios have become increasingly important in the technology of the Internet of Things (IoT) and the next generation of wireless networks. Such scenarios require efficient and reliable transmission over channels with an…

Information Theory · Computer Science 2023-02-07 Mohammad Fereydounian , Hamed Hassani , Mohammad Vahid Jamali , Hessam Mahdavifar

In this letter, we evaluate the finite-length performance of network coding when using either random or structured encoding matrices. First, we present our novel construction of structured network codes over Fq (q = 2^m) using Pascal…

Networking and Internet Architecture · Computer Science 2019-11-28 Tan Do-Duy , M. Angeles Vazquez-Castro

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

A (control) network over a finite ring is proposed. Using semi-tensor product (STP) of matrices, a set of algebraic equations are provided to verify whether a finite set with two binary operators is a ring. It is then shown that the…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Daizhan Cheng

A new achievable rate region is given for the Gaussian cognitive many-to-one interference channel. The proposed novel coding scheme is based on the compute-and-forward approach with lattice codes. Using the idea of decoding sums of…

Information Theory · Computer Science 2016-11-18 Jingge Zhu , Michael Gastpar

Algebraic lattices are those obtained from modules in the ring of integers of algebraic number fields through the canonical or twisted embeddings. In turn, well-rounded lattices are those with maximal cardinality of linearly independent…