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In this paper, we bound the rate of linear codes in $\mathbb{F}_q^n$ with the property that any $k\leq q$ codewords are all simultaneously distinct in at least $d_k$ coordinates. For the case of particular interest $q=k=3$ we recover, with…

Information Theory · Computer Science 2025-10-21 Stefano Della Fiore , Marco Dalai

The coded caching scheme originally proposed by Maddah-Ali and Niesen (MAN) transmits coded multicast messages from a server to users equipped with caches via a capacitated shared-link and was shown to be information theoretically optimal…

Information Theory · Computer Science 2020-08-21 Mozhgan Bayat , Kai Wan , Giuseppe Caire

Coded caching scheme, which is an effective technique to increase the transmission efficiency during peak traffic times, has recently become quite popular among the coding community. Generally rate can be measured to the transmission in the…

Information Theory · Computer Science 2017-10-03 Minquan Cheng , Qifa Yan , Xiaohu Tang , Jing Jiang

This paper presents a novel achievable scheme for coded caching systems with $N$ files and $K$ users, specifically when $N \leq K$. This new scheme employs linear coding both during the placement phase - where cache contents are linear…

Information Theory · Computer Science 2024-06-11 Yinbin Ma , Daniela Tuninetti

This paper studies the fundamental limits of content delivery in a cache-aided broadcast network for correlated content generated by a discrete memoryless source with arbitrary joint distribution. Each receiver is equipped with a cache of…

Information Theory · Computer Science 2018-06-20 Parisa Hassanzadeh , Antonia M. Tulino , Jaime Llorca , Elza Erkip

A centralized coded caching system, consisting of a server delivering N popular files, each of size F bits, to K users through an error-free shared link, is considered. It is assumed that each user is equipped with a local cache memory with…

Information Theory · Computer Science 2016-12-15 Mohammad Mohammadi Amiri , Deniz Gunduz

Classical coded caching setting avails each user to have one dedicated cache. This is generalized to a more general shared cache scheme and the exact expression for the worst case rate was derived in [E. Parrinello, A. Unsal, P. Elia,…

Information Theory · Computer Science 2019-01-11 Nujoom Sageer Karat , Spandan Dey , Anoop Thomas , B. Sundar Rajan

Caching is a technique to reduce the communication load in peak hours by prefetching contents during off-peak hours. An information-theoretic framework for coded caching was introduced by Maddah-Ali and Niesen in a recent work, where it was…

Information Theory · Computer Science 2021-09-07 Shuo Shao , Jesús Gómez-Vilardebó , Kai Zhang , Chao Tian

Coded Caching is an efficient technique to reduce peak hour network traffic. One limitation of known coded caching schemes is that the demands of all users are revealed to their peers in the delivery phase. Schemes that assure privacy for…

Information Theory · Computer Science 2021-02-04 K. K. Krishnan Namboodiri , B. Sundar Rajan

Caching at the network edge has emerged as a viable solution for alleviating the severe capacity crunch in modern content centric wireless networks by leveraging network load-balancing in the form of localized content storage and delivery.…

Information Theory · Computer Science 2016-06-15 Avik Sengupta , Ravi Tandon

Caching is an efficient way to reduce network traffic congestion during peak hours, by storing some content at the user's local cache memory, even without knowledge of user's later demands. Maddah-Ali and Niesen proposed a two-phase…

Information Theory · Computer Science 2020-01-15 Kai Wan , Daniela Tuninetti , Pablo Piantanida

The coded caching scheme proposed by Maddah-Ali and Niesen (MAN) transmits coded multicast messages to users equipped with caches and it is known to be optimal within a constant factor. This work extends this caching scheme to two-hop relay…

Information Theory · Computer Science 2019-03-15 Mozhgan Bayat , Kai Wan , Giuseppe Caire

This paper studies the fundamental limits of the shared-link coded caching problem with correlated files, where a server with a library of $N$ files communicates with $K$ users who can locally cache $M$ files. Given an integer $r \in [N]$,…

Information Theory · Computer Science 2021-06-15 Kai Wan , Daniela Tuninetti , Mingyue Ji , Giuseppe Caire

Caching is an efficient way to reduce peak hour network traffic congestion by storing some contents at the user's cache without knowledge of later demands. Coded caching strategy was originally proposed by Maddah-Ali and Niesen to give an…

Information Theory · Computer Science 2018-03-19 Kai Wan , Daniela Tuninetti , Pablo Piantanida , Mingyue Ji

In this paper, we study the coded caching scheme for the $(L, K, M, N)$ multi-user information retrieval (MIR) system, which consists of a content library containing $N$ files, a base station (BS) with $L$ antennas that cannot access the…

Information Theory · Computer Science 2025-01-23 Junyi Wang , Quan Zang , Jinyu Wang , Minquan Cheng

We consider a cache network in which a single server is connected to multiple users via a shared error free link. The server has access to a database with $N$ files of equal length $F$, and serves $K$ users each with a cache memory of $MF$…

Information Theory · Computer Science 2017-05-24 Jesús Gómez-Vilardebó

Recent work by Maddah-Ali and Niesen introduced coded caching which demonstrated the benefits of joint design of storage and transmission policies in content delivery networks. They studied a setup where a server communicates with a set of…

Information Theory · Computer Science 2017-10-12 Vaishakh Ravindrakumar , Parthasarathi Panda , Nikhil Karamchandani , Vinod Prabhakaran

In this paper, we consider the setting of exact repair linear regenerating codes. Under this setting, we derive a new outer bound on the storage-repair-bandwidth trade-off for the case when $d = k = n -1$, where $(n, k, d)$ are parameters…

Information Theory · Computer Science 2015-01-27 N. Prakash , M. Nikhil Krishnan

Network based on distributed caching of content is a new architecture to alleviate the ongoing explosive demands for rate of multi-media traffic. In caching networks, coded caching is a recently proposed technique that achieves significant…

Information Theory · Computer Science 2017-10-16 Qifa Yan , Xiaohu Tang , Qingchun Chen

In the first part of this paper we develop some theorems in linear algebra applicable to information theory when all random variables involved are linear functions of the individual bits of a source of independent bits. We say that a…

Information Theory · Computer Science 2023-07-25 Joel Friedman , Amir Tootooni