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Index Coding has received considerable attention recently motivated in part by real-world applications and in part by its connection to Network Coding. The basic setting of Index Coding encodes the problem input as an undirected graph and…

信息论 · 计算机科学 2011-07-14 Anna Blasiak , Robert Kleinberg , Eyal Lubetzky

Pliable index coding considers a server with m messages, and n clients where each has as side information a subset of the messages. We seek to minimize the number of transmissions the server should make, so that each client receives (any)…

信息论 · 计算机科学 2016-01-22 Linqi Song , Christina Fragouli

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…

信息论 · 计算机科学 2025-01-28 Juliana G. F. Souza , Sueli I. R. Costa

This paper studies the Pliable Index CODing problem (PICOD), which models content-type distribution networks. In the PICOD$(t)$ problem there are $m$ messages, $n$ users and each user has a distinct message side information set, as in the…

信息论 · 计算机科学 2018-10-10 Tang Liu , Daniela Tuninetti

This paper deals with scalar linear index codes for canonical multiple unicast index coding problems where there is a source with K messages and there are K receivers each wanting a unique message and having symmetric (with respect to the…

信息论 · 计算机科学 2015-10-30 Roop Kumar Bhattaram , Mahesh Babu Vaddi , B. Sundar Rajan

In this paper we show that the Index Coding problem captures several important properties of the more general Network Coding problem. An instance of the Index Coding problem includes a server that holds a set of information messages…

信息论 · 计算机科学 2008-05-12 Salim El Rouayheb , Alex Sprintson , Costas Georghiades

This paper studies a special class of multicast index coding problems where a sender transmits messages to multiple receivers, each with some side information. Here, each receiver knows a unique message a priori, and there is no restriction…

信息论 · 计算机科学 2012-12-04 Lawrence Ong , Chin Keong Ho

We study the index coding problem in the presence of an eavesdropper, where the aim is to communicate without allowing the eavesdropper to learn any single message aside from the messages it may already know as side information. We…

信息论 · 计算机科学 2018-09-12 Yuxin Liu , Badri N. Vellambi , Young-Han Kim , Parastoo Sadeghi

In this work, we study the problem of index coding from graph homomorphism perspective. We show that the minimum broadcast rate of an index coding problem for different variations of the problem such as non-linear, scalar, and vector index…

信息论 · 计算机科学 2014-09-01 Javad B. Ebrahimi , Mahdi Jafari Siavoshani

A source coding problem over a noiseless broadcast channel where the source is pre-informed about the contents of the cache of all receivers, is an index coding problem. Furthermore, if each message is requested by one receiver, then we…

信息论 · 计算机科学 2017-06-13 Chandra Thapa , Lawrence Ong , Sarah J. Johnson

A new variant of index coding problem termed as Pliable Index Coding Problem (PICOD) is formulated in [S. Brahma, C. Fragouli, "Pliable index coding", IEEE Transactions on Information Theory, vol. 61, no. 11, pp. 6192-6203, 2015]. In PICOD,…

信息论 · 计算机科学 2019-01-18 Shanuja Sasi , B. Sundar Rajan

The index coding problem is a fundamental transmission problem arising in content distribution and wireless networks. Traditional approach to solve this problem is to find heuristic/ approximation minimum clique partition solution on an…

网络与互联网体系结构 · 计算机科学 2016-11-15 Jalaluddin Qureshi

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…

信息论 · 计算机科学 2019-01-18 Lakshmi Natarajan , Hoang Dau , Prasad Krishnan , V. Lalitha

This paper studies a variant of the Pliable Index CODing (PICOD) problem, i.e., an index coding problem where a user can be satisfied by decoding any message that is not in its side information set, where communication is decentralized,…

信息论 · 计算机科学 2020-01-14 Tang Liu , Daniela Tuninetti

In this paper, new index coding problems are studied, where each receiver has erroneous side information. Although side information is a crucial part of index coding, the existence of erroneous side information has not yet been considered.…

信息论 · 计算机科学 2019-09-19 Jae-Won Kim , Jong-Seon No

In contrast to the network coding problem wherein the sinks in a network demand subsets of the source messages, in a network computation problem the sinks demand functions of the source messages. Similarly, in the functional index coding…

信息论 · 计算机科学 2016-03-18 Anindya Gupta , B. Sundar Rajan

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…

信息论 · 计算机科学 2015-10-13 Kavitha R. , Niranjana Ambadi , B. Sundar Rajan

Index coding achieves bandwidth savings by jointly encoding the messages demanded by all the clients in a broadcast channel. The encoding is performed in such a way that each client can retrieve its demanded message from its side…

信息论 · 计算机科学 2018-01-12 Lakshmi Natarajan , Prasad Krishnan , V. Lalitha

The index coding problem has been generalized recently to accommodate receivers which demand functions of messages and which possess functions of messages. The connections between index coding and matroid theory have been well studied in…

信息论 · 计算机科学 2017-05-02 Anoop Thomas , B. Sundar Rajan

We consider the multi-access coded caching problem, which contains a central server with $N$ files, $K$ caches with $M$ units of memory each and $K$ users where each one is connected to $L (\geq 1)$ consecutive caches, with a cyclic…

信息论 · 计算机科学 2023-05-10 Srinivas Reddy Kota , Nikhil Karamchandani