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We investigate the multiple-input multiple-output broadcast channel with statistical channel state information available at the transmitter. The so-called linear assignment operation is employed, and necessary conditions are derived for the…

Information Theory · Computer Science 2015-06-22 Yongpeng Wu , Shi Jin , Xiqi Gao , Matthew R. McKay , Chengshan Xiao

We study zero-error unicast index-coding instances, where each receiver must perfectly decode its requested message set, and the message sets requested by any two receivers do not overlap. We show that for all these instances with up to…

Information Theory · Computer Science 2014-09-04 Lawrence Ong

For a packet erasure broadcast channel with three receivers, we propose a new coding algorithm that makes use of feedback to dynamically adapt the code. Our algorithm is throughput optimal, and we conjecture that it also achieves an…

Information Theory · Computer Science 2008-09-29 Jay Kumar Sundararajan , Devavrat Shah , Muriel Médard

In Index coding there is a single sender with multiple messages and multiple receivers each wanting a different set of messages and knowing a different set of messages a priori. The Index Coding problem is to identify the minimum number of…

Information Theory · Computer Science 2015-04-21 Kavitha. R , B. Sundar Rajan

Index coded PSK modulation over an AWGN broadcast channel, for a given index coding problem (ICP) is studied. For a chosen index code and an arbitrary mapping (of broadcast vectors to PSK signal points), we have derived a decision rule for…

Information Theory · Computer Science 2017-03-10 Divya U. S. , B. Sundar Rajan

We consider coding schemes for computationally bounded channels, which can introduce an arbitrary set of errors as long as (a) the fraction of errors is bounded with high probability by a parameter $p$ and (b) the process which adds the…

Information Theory · Computer Science 2013-03-01 Venkatesan Guruswami , Adam Smith

Real-time streaming communication requires a high quality of service despite contending with packet loss. Streaming codes are a class of codes best suited for this setting. A key challenge for streaming codes is that they operate in an…

Information Theory · Computer Science 2022-05-18 Michael Rudow , K. V. Rashmi

We consider broadcasting a block of packets to multiple wireless receivers under random packet erasures using instantly decodable network coding (IDNC). The sender first broadcasts each packet uncoded once, then generates coded packets…

Information Theory · Computer Science 2016-01-20 Mingchao Yu , Parastoo Sadeghi , Neda Aboutorab

The min-rank of a digraph was shown by Bar-Yossef et al. (2006) to represent the length of an optimal scalar linear solution of the corresponding instance of the Index Coding with Side Information (ICSI) problem. In this work, the graphs…

Information Theory · Computer Science 2013-03-19 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

This letter investigates the role of index coding in the capacity of AWGN broadcast channels with receiver message side information. We first show that index coding is unnecessary where there are two receivers; multiplexing coding and…

Information Theory · Computer Science 2014-04-29 Behzad Asadi , Lawrence Ong , Sarah J. Johnson

Partial clique covering is one of the most basic coding schemes for index coding problems, generalizing clique and cycle covering on the side information digraph and further reducing the achievable broadcast rate. In this paper, we start…

Information Theory · Computer Science 2018-05-29 Xinping Yi , Giuseppe Caire

The problem of maximizing the average rate in a multicast network subject to a coverage constraint (minimum quality of service) is studied. Assuming the channel state information is available only at the receiver side and single antenna…

Information Theory · Computer Science 2008-05-29 Seyed Reza Mirghaderi , Alireza Bayesteh , Amir K. Khandani

The index coding problem aims to optimise broadcast communication by taking advantage of receiver-side information to improve transmission efficiency. In this letter, we explore the application of Construction $\pi_A$ lattices to index…

Information Theory · Computer Science 2025-01-28 Juliana G. F. Souza , Sueli I. R. Costa

An index coding problem arises when there is a single source with a number of messages and multiple receivers each wanting a subset of messages and knowing a different set of messages a priori. The noiseless Index Coding Problem is to…

Information Theory · Computer Science 2015-10-13 Kavitha R. , Niranjana Ambadi , B. Sundar Rajan

A message composed of packets is transmitted using erasure and channel coding over a fading channel with no feedback. For this scenario, the paper explores the trade-off between the redundancies allocated to the packet-level erasure code…

Information Theory · Computer Science 2016-02-03 Sudarsan V. S. Ranganathan , Tong Mu , Richard D. Wesel

This letter investigates a new class of index coding problems. One sender broadcasts packets to multiple users, each desiring a subset, by exploiting prior knowledge of linear combinations of packets. We refer to this class of problems as…

Information Theory · Computer Science 2016-11-18 Namyoon Lee , Alexandros G. Dimakis , Robert W. Heath

In index coding, a server broadcasts multiple messages to their respective receivers, each with some side information that can be utilized to reduce the amount of communication from the server. Distributed index coding is an extension of…

Information Theory · Computer Science 2020-04-07 Yucheng Liu , Parastoo Sadeghi , Fatemeh Arbabjolfaei , Young-Han Kim

Index coding, a source coding problem over broadcast channels, has been a subject of both theoretical and practical interest since its introduction (by Birk and Kol, 1998). In short, the problem can be defined as follows: there is an input…

Information Theory · Computer Science 2019-04-11 Abhishek Agarwal , Larkin Flodin , Arya Mazumdar

The capacity of symmetric instance of the multiple unicast index coding problem with neighboring antidotes (side-information) with number of messages equal to the number of receivers was given by Maleki, Cadambe and Jafar. In this paper we…

Information Theory · Computer Science 2015-10-20 Mahesh Babu Vaddi , Roop Kumar Bhattaram , B. Sundar Rajan

An index code is said to be locally decodable if each receiver can decode its demand using its side information and by querying only a subset of the transmitted codeword symbols instead of observing the entire codeword. Local decodability…

Information Theory · Computer Science 2019-01-18 Lakshmi Natarajan , Hoang Dau , Prasad Krishnan , V. Lalitha