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We present a general framework for constructing error-correcting codes using distributed graph coloring under the LOCAL model. Building on the correspondence between independent sets in the confusion graph and valid codes, we show that the…

Information Theory · Computer Science 2025-12-05 Yuting Li , Ryan Gabrys , Farzad Farnoud

Compute-and-forward (CAF) relaying is effective to increase bandwidth efficiency of wireless two-way relay channels. In a CAF scheme, a relay is designed to decode a linear combination composed of transmitted messages from other terminals…

Information Theory · Computer Science 2018-07-05 Satoshi Takabe , Tadashi Wadayama , Masahito Hayashi

We present a decode-and-forward transmission scheme based on spatially-coupled low-density parity-check (SC-LDPC) codes for a network consisting of two (possibly correlated) sources, one relay, and one destination. The links between the…

Information Theory · Computer Science 2014-02-17 Stefan Schwandter , Alexandre Graell i Amat , Gerald Matz

We consider a communication system where two transmitters wish to exchange information through a half-duplex relay in the middle. The channels between the transmitters and the relay have asymmetric channel gains. More specifically, the…

Information Theory · Computer Science 2009-08-18 Makesh Pravin Wilson , Krishna Narayanan

This paper investigates low-latency streaming codes for a three-node relay network. The source transmits a sequence of messages (streaming messages) to the destination through the relay between them, where the first-hop channel from the…

Information Theory · Computer Science 2022-03-14 Silas L. Fong , Ashish Khisti , Baochun Li , Wai-Tian Tan , Xiaoqing Zhu , John Apostolopoulos

In wireless broadcast, random linear network coding (RLNC) over GF(2^L) is known to asymptotically achieve the optimal completion delay with increasing L. However, the high decoding complexity hinders the potential applicability of RLNC…

Information Theory · Computer Science 2020-05-19 Rina Su , Qifu Tyler Sun , Zhongshan Zhang

In this paper, a compress-and-forward scheme with backward decoding is presented for the unicast wireless relay network. The encoding at the source and relay is a generalization of the noisy network coding scheme (NNC). While it achieves…

Information Theory · Computer Science 2016-11-17 Adnan Raja , Pramod Viswanath

Graph coloring is one of the central problems in distributed graph algorithms. Much of the research on this topic has focused on coloring with $\Delta+1$ colors, where $\Delta$ denotes the maximum degree. Using $\Delta+1$ colors may be…

Data Structures and Algorithms · Computer Science 2017-08-24 Mohsen Ghaffari , Christiana Lymouri

Linial's famous color reduction algorithm reduces a given $m$-coloring of a graph with maximum degree $\Delta$ to a $O(\Delta^2\log m)$-coloring, in a single round in the LOCAL model. We show a similar result when nodes are restricted to…

Data Structures and Algorithms · Computer Science 2020-07-31 Yannic Maus , Tigran Tonoyan

A half-duplex wireless network with 6 lateral nodes, 3 transmitters and 3 receivers, and a central relay is considered. The transmitters wish to send information to their corresponding receivers via a two phase communication protocol. The…

Information Theory · Computer Science 2010-01-22 Hamidreza Ebrahimzadeh Saffar , Patrick Mitran

Using the spatial modulation approach, where only one transmit antenna is active at a time, we propose two transmission schemes for two-way relay channel using physical layer network coding with space time coding using Coordinate…

Information Theory · Computer Science 2014-01-07 K. G. Unnikrishnan , B. Sundar Rajan

A Physical layer Network Coding (PNC) scheme is proposed for the $K$-user wireless Multiple Access Relay Channel (MARC), in which $K$ source nodes transmit their messages to the destination node $D$ with the help of a relay node $R.$ The…

Information Theory · Computer Science 2013-01-22 Vijayvaradharaj T. Muralidharan , B. Sundar Rajan

In the context of communication complexity, we explore protocols for graph coloring, focusing on the vertex and edge coloring problems in $n$-vertex graphs $G$ with a maximum degree $\Delta$. We consider a scenario where the edges of $G$…

Data Structures and Algorithms · Computer Science 2025-05-12 Yi-Jun Chang , Gopinath Mishra , Hung Thuan Nguyen , Farrel D Salim

Graph coloring is used in wireless networks to optimize network resources: bandwidth and energy. Nodes access the medium according to their color. It is the responsibility of the coloring algorithm to ensure that interfering nodes do not…

Networking and Internet Architecture · Computer Science 2011-10-10 Ichrak Amdouni , Cédric Adjih , Pascale Minet

Coding schemes with extremely low computational complexity are required for particular applications, such as wireless body area networks, in which case both very high data accuracy and very low power-consumption are required features. In…

Discrete Mathematics · Computer Science 2016-06-06 Eimear Byrne , Akiko Manada

We demonstrate a decoding scheme for nested lattice codes which is able to decode a list of a particular size which contains the transmitted codeword with high probability. This list decoder is analogous to that used in random coding…

Information Theory · Computer Science 2010-10-04 Yiwei Song , Natasha Devroye

We construct linear network codes utilizing algebraic curves over finite fields and certain associated Riemann-Roch spaces and present methods to obtain their parameters. In particular we treat the Hermitian curve and the curves associated…

Information Theory · Computer Science 2015-03-10 Johan P. Hansen

In bidirectional relaying using Physical Layer Network Coding (PLNC), it is generally assumed that users employ same modulation schemes in the Multiple Access phase. However, as observed by Zhang et al., it may not be desirable for the…

Information Theory · Computer Science 2017-03-14 Chinmayananda A. , Saket D. Buch , B. Sundar Rajan

A characterization of systematic network coding over multi-hop wireless networks is key towards understanding the trade-off between complexity and delay performance of networks that preserve the systematic structure. This paper studies the…

Networking and Internet Architecture · Computer Science 2016-11-18 Giuliano Giacaglia , Xiaomeng Shi , MinJi Kim , Daniel E. Lucani , Muriel Medard

We investigate joint network and channel coding schemes for networks when relay nodes are not capable of performing channel coding operations. Rather, channel encoding is performed at the source node while channel decoding is done only at…

Information Theory · Computer Science 2011-12-12 Sarah J. Johnson , Lawrence Ong , Christopher M. Kellett