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An optimal linear coding solution for index coding problem is established. Instead of network coding approach by focus on graph theoric and algebraic methods a linear coding program for solving both unicast and groupcast index coding…

信息论 · 计算机科学 2015-05-08 Pouya Pezeshkpour

In the index coding problem a sender holds a message $x \in \{0,1\}^n$ and wishes to broadcast information to $n$ receivers in a way that enables the $i$th receiver to retrieve the $i$th bit $x_i$. Every receiver has prior side information…

信息论 · 计算机科学 2020-04-27 Ishay Haviv

The following source coding problem was introduced by Birk and Kol: a sender holds a word $x\in\{0,1\}^n$, and wishes to broadcast a codeword to $n$ receivers, $R_1,...,R_n$. The receiver $R_i$ is interested in $x_i$, and has prior…

信息论 · 计算机科学 2008-06-12 Eyal Lubetzky , Uri Stav

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

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 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

We study the role of coded side information in single-server Private Information Retrieval (PIR). An instance of the single-server PIR problem includes a server that stores a database of $K$ independently and uniformly distributed messages,…

信息论 · 计算机科学 2019-10-18 Anoosheh Heidarzadeh , Fatemeh Kazemi , Alex Sprintson

Recently, the sparse vector code (SVC) is emerging as a promising solution for short-packet transmission in massive machine type communication (mMTC) as well as ultra-reliable and low-latency communication (URLLC). In the SVC process, the…

信息论 · 计算机科学 2022-09-02 Linjie Yang , Pingzhi Fan

We study the problem of single-server multi-message private information retrieval with side information. One user wants to recover $N$ out of $K$ independent messages which are stored at a single server. The user initially possesses a…

信息论 · 计算机科学 2018-08-20 Su Li , Michael Gastpar

In pliable index coding (PICOD), a number of clients are connected via a noise-free broadcast channel to a server which has a list of messages. Each client has a unique subset of messages at the server as side-information, and requests for…

信息论 · 计算机科学 2025-12-12 Tulasi Sowjanya B. , Prasad Krishnan

In this paper, we study the information-theoretic converse for the index coding problem. We generalize the definition for the alignment chain, introduced by Maleki et al., to capture more flexible relations among interfering messages at…

信息论 · 计算机科学 2019-05-30 Yucheng Liu , Parastoo Sadeghi

The problem of designing downlink transmission schemes for supporting heterogeneous ultra-reliable low-latency communications (URLLC) and/or with other types of services is investigated. We consider the broadcast channel, where the base…

信息论 · 计算机科学 2023-05-03 Min Qiu , Yu-Chih Huang , Jinhong Yuan

This paper considers the problem of single-server single-message private information retrieval with coded side information (PIR-CSI). In this problem, there is a server storing a database, and a user which knows a linear combination of a…

信息论 · 计算机科学 2018-06-15 Anoosheh Heidarzadeh , Fatemeh Kazemi , Alex Sprintson

Multicasting $K$ independent messages via multiple-input multiple-output (MIMO) channels to multiple users where each user already has a subset of messages as side information is studied. A general framework of constructing layered…

信息论 · 计算机科学 2017-09-14 Yu-Chih Huang , Yi Hong , Emanuele Viterbo , Lakshmi Natarajan

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…

信息论 · 计算机科学 2018-05-29 Xinping Yi , Giuseppe Caire

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

We characterise bounds on the optimal broadcast rate for a few classes of pliable-index-coding instances. Unlike the majority of currently solved instances, which belong to a special class where all receivers with a certain side-information…

信息论 · 计算机科学 2025-12-09 Lawrence Ong , Badri N. Vellambi , Parastoo Sadeghi , Jörg Kliewer

This paper considers the problem of single-server Individually-Private Information Retrieval with side information (IPIR). In this problem, there is a remote server that stores a dataset of $K$ messages, and there is a user that initially…

信息论 · 计算机科学 2022-02-25 Anoosheh Heidarzadeh , Alex Sprintson

For index coding problems with special structure on the side-information graphs called Interlinked Cycle (IC) structures index codes have been proposed in the literature (C. Thapa, L. Ong, and S. Johnson, "Interlinked Cycles for Index…

信息论 · 计算机科学 2018-04-25 Shanuja Sasi , B. Sundar Rajan

We focus on the following instance of an index coding problem, where a set of receivers are required to decode multiple messages, whilst each knows one of the messages a priori. In particular, here we consider a generalized setting where…

信息论 · 计算机科学 2014-03-13 Lawrence Ong , Fabian Lim , Chin Keong Ho