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This paper investigates the performance of streaming codes in low-latency applications over a multi-link three-node relayed network. The source wishes to transmit a sequence of messages to the destination through a relay. Each message must…

Information Theory · Computer Science 2022-01-19 Gustavo Kasper Facenda , Elad Domanovitz , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos

The encoding complexity of network coding for single multicast networks has been intensively studied from several aspects: e.g., the time complexity, the required number of encoding links, and the required field size for a linear code…

Information Theory · Computer Science 2013-04-22 Wentu Song , Kai Cai , Rongquan Feng , Chau Yuen

We study the limits of communication efficiency for function computation in collocated networks within the framework of multi-terminal block source coding theory. With the goal of computing a desired function of sources at a sink, nodes…

Information Theory · Computer Science 2016-11-17 Nan Ma , Prakash Ishwar , Piyush Gupta

A single source network is said to be memory-free if all of the internal nodes (those except the source and the sinks) do not employ memory but merely send linear combinations of the symbols received at their incoming edges on their…

Information Theory · Computer Science 2009-09-09 K. Prasad , B. Sundar Rajan

This paper deals with a universal coding problem for a certain kind of multiterminal source coding network called a generalized complementary delivery network. In this network, messages from multiple correlated sources are jointly encoded,…

Information Theory · Computer Science 2009-04-02 Akisato Kimura , Tomohiko Uyematsu , Shigeaki Kuzuoka , Shun Watanabe

We propose a new coding scheme, called the delayed coding (DC) scheme, for channels with insertion, deletion, and substitution (IDS) errors. The proposed scheme employs delayed encoding and non-iterative detection and decoding strategies to…

Information Theory · Computer Science 2022-05-25 Ryo Shibata , Hiroyuki Yashima

Coded multicasting has been shown to be a promis- ing approach to significantly improve the caching performance of content delivery networks with multiple caches downstream of a common multicast link. However, achievable schemes proposed to…

Information Theory · Computer Science 2015-11-25 Giuseppe Vettigli , Mingyue Ji , Antonia M. Tulino , Jaime Llorca , Paola Festa

We study a class of linear network coding (LNC) schemes, called circular-shift LNC, whose encoding operations consist of only circular-shifts and bit-wise additions (XOR). Formulated as a special vector linear code over GF($2$), an…

Information Theory · Computer Science 2019-01-03 Hanqi Tang , Qifu Tyler Sun , Zongpeng Li , Xiaolong Yang , Keping Long

In the problem of blind reconstruction of channel codes, the receiver does not have the knowledge of the channel code used at the transmitter and the aim is to identify this unknown channel code corresponding to the given received sequence.…

Information Theory · Computer Science 2017-10-13 Arti D. Yardi , Saravanan Vijayakumaran

Circular-shift linear network coding (LNC) is a class of vector LNC with low encoding and decoding complexities, and with local encoding kernels chosen from cyclic permutation matrices. When $L$ is a prime with primitive root $2$, it was…

Information Theory · Computer Science 2019-01-03 Qifu Tyler Sun , Hanqi Tang , Zongpeng Li , Xiaolong Yang , Keping Long

We consider the problem of establishing minimum-cost multicast connections over coded packet networks, i.e. packet networks where the contents of outgoing packets are arbitrary, causal functions of the contents of received packets. We…

Information Theory · Computer Science 2007-07-16 Desmond S. Lun , Niranjan Ratnakar , Muriel Medard , Ralf Koetter , David R. Karger , Tracey Ho , Ebad Ahmed , Fang Zhao

This paper considers the problem of network coding for multiple unicast connections in networks represented by directed acyclic graphs. The concept of interference alignment, traditionally used in interference networks, is extended to…

Information Theory · Computer Science 2010-08-03 Abhik Das , Sriram Vishwanath , Syed Jafar , Athina Markopoulou

We consider the problem of decentralized hypothesis testing under communication constraints in a topology where several peripheral nodes are arranged in tandem. Each node receives an observation and transmits a message to its successor, and…

Information Theory · Computer Science 2015-06-19 Alla Tarighati , Joakim Jalden

Multi-antenna coded caching is known to combine a global caching gain that is proportional to the cumulative cache size found across the network, with an additional spatial multiplexing gain that stems from using multiple transmitting…

Information Theory · Computer Science 2021-10-12 MohammadJavad Salehi , Emanuele Parrinello , Seyed Pooya Shariatpanahi , Petros Elia , Antti Tölli

Practical random network coding based schemes for multicast include a header in each packet that records the transformation between the sources and the terminal. The header introduces an overhead that can be significant in certain…

Information Theory · Computer Science 2010-06-03 Shizheng Li , Aditya Ramamoorthy

We consider rate R = k/n causal linear codes that map a sequence of k-dimensional binary vectors {b_t} to a sequence of n-dimensional binary vectors {c_t}, such that each c_t is a function of {b_1,b_2,...,b_t}. Such a code is called anytime…

Information Theory · Computer Science 2011-06-02 Ravi Teja Sukhavasi , Babak Hassibi

Current approaches to the practical implementation of network coding are batch-based, and often do not use feedback, except possibly to signal completion of a file download. In this paper, the various benefits of using feedback in a network…

Networking and Internet Architecture · Computer Science 2009-04-13 Jay Kumar Sundararajan , Devavrat Shah , Muriel Medard

For reliable transmission across a noisy communication channel, classical results from information theory show that it is asymptotically optimal to separate out the source and channel coding processes. However, this decomposition can fall…

Machine Learning · Computer Science 2019-05-15 Kristy Choi , Kedar Tatwawadi , Aditya Grover , Tsachy Weissman , Stefano Ermon

Network slicing has emerged as an integral concept in 5G, aiming to partition the physical network infrastructure into isolated slices, customized for specific applications. We theoretically formulate the key performance metrics of an…

Networking and Internet Architecture · Computer Science 2024-04-30 Homa Esfahanizadeh , Vipindev Adat Vasudevan , Benjamin D. Kim , Shruti Siva , Jennifer Kim , Alejandro Cohen , Muriel Médard

A directed acyclic network is considered where all the terminals need to recover the sum of the symbols generated at all the sources. We call such a network a sum-network. It is shown that there exists a solvably (and linear solvably)…

Information Theory · Computer Science 2016-11-18 Brijesh Kumar Rai , Bikash Kumar Dey
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