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Related papers: Bounds on Traceability Schemes

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Cut-set bounds on achievable rates for network communication protocols are not in general tight. In this paper we introduce a new technique for proving converses for the problem of transmission of correlated sources in networks, that…

Information Theory · Computer Science 2011-05-31 Amin Aminzadeh Gohari , Shenghao Yang , Sidharth Jaggi

Recently, Muralidhar et al. proposed a novel multi-access system model where each user is connected to multiple caches in a manner that follows the well-known combinatorial topology of combination networks. For such multi-access topology,…

Information Theory · Computer Science 2022-02-08 Federico Brunero , Petros Elia

In this paper, we consider an intensity modulated direct detection MIMO optical wireless communication (OWC) system. For such a system, a novel super-rectangular cover theory is developed to characterize both the unique identifiability and…

Information Theory · Computer Science 2016-07-15 Yan-Yu Zhang , Hong-Yi Yu , Jian-Kang Zhang , Jin-Long Wang

Roughly speaking, an $(n,(r,s))$-Cover Free Family (CFF) is a small set of $n$-bit strings such that: "in any $d:=r+s$ indices we see all patterns of weight $r$". CFFs have been of interest for a long time both in discrete mathematics as…

Discrete Mathematics · Computer Science 2015-07-28 Nader H. Bshouty , Ariel Gabizon

We present simple coding strategies, which are variants of the Schalkwijk-Kailath scheme, for communicating reliably over additive white noise channels in the presence of corrupted feedback. More specifically, we consider a framework…

Information Theory · Computer Science 2007-07-13 Nuno C Martins , Tsachy Weissman

When implementing hierarchical federated learning over wireless networks, scalability assurance and the ability to handle both interference and device data heterogeneity are crucial. This work introduces a new two-level learning method…

Information Theory · Computer Science 2024-01-12 Seyed Mohammad Azimi-Abarghouyi , Viktoria Fodor

An {\em ancestry labeling scheme} labels the nodes of any tree in such a way that ancestry queries between any two nodes in a tree can be answered just by looking at their corresponding labels. The common measure to evaluate the quality of…

Data Structures and Algorithms · Computer Science 2009-02-19 Pierre Fraigniaud , Amos Korman

This paper introduces the notion of cache-tapping into the information theoretic models of coded caching. The wiretap channel II in the presence of multiple receivers equipped with fixed-size cache memories, and an adversary which selects…

Information Theory · Computer Science 2021-02-16 Mohamed Nafea , Aylin Yener

Nearly perfect packing codes are those codes that meet the Johnson upper bound on the size of error-correcting codes. This bound is an improvement to the sphere-packing bound. A related bound for covering codes is known as the van Wee…

Information Theory · Computer Science 2024-10-08 Avital Boruchovsky , Tuvi Etzion , Ron M. Roth

Resistive random-access memory is one of the most promising candidates for the next generation of non-volatile memory technology. However, its crossbar structure causes severe "sneak-path" interference, which also leads to strong inter-cell…

Information Theory · Computer Science 2021-01-26 Guanghui Song , Kui Cai , Ce Sun , Xingwei Zhong , Jun Cheng

As a strategy to further reduce the transmission pressure during the peak traffic times in wireless network, coded caching has been widely studied recently. And several coded caching schemes are constructed focusing on the two core problems…

Information Theory · Computer Science 2017-12-27 Minquan Cheng , Jing Jiang , Youzhi Yao

The paper addresses the problem of defining families of ordered sequences $\{x_i\}_{i\in N}$ of elements of a compact subset $X$ of $R^d$ whose prefixes $X_n=\{x_i\}_{i=1}^{n}$, for all orders $n$, have good space-filling properties as…

Data Structures and Algorithms · Computer Science 2021-06-11 Amaya Nogales Gómez , Luc Pronzato , Maria-João Rendas

We investigate labeling schemes supporting adjacency, ancestry, sibling, and connectivity queries in forests. In the course of more than 20 years, the existence of $\log n + O(\log \log)$ labeling schemes supporting each of these functions…

Data Structures and Algorithms · Computer Science 2014-04-22 Søren Dahlgaard , Mathias Bæk Tejs Knudsen , Noy Rotbart

A $(v,k,t)$ {\em covering design}, or {\em covering}, is a family of $k$-subsets, called blocks, chosen from a $v$-set, such that each $t$-subset is contained in at least one of the blocks. The number of blocks is the covering's {\em size},…

Combinatorics · Mathematics 2008-02-03 Daniel Gordon , Greg Kuperberg , Oren Patashnik

Coded multicasting has been shown to improve the caching performance of content delivery networks with multiple caches downstream of a common multicast link. However, the schemes that have been shown to achieve order-optimal perfor- mance…

Information Theory · Computer Science 2015-11-25 Mingyue Ji , Karthikeyan Shanmugam , Giuseppe Vettigli , Jaime Llorca , Antonia M. Tulino , Giuseppe Caire

This paper studies fingerprinting (traitor tracing) games in which the number of colluders and the collusion channel are unknown. The fingerprints are embedded into host sequences representing signals to be protected and provide the…

Information Theory · Computer Science 2011-05-26 Pierre Moulin

Many complex natural and physical systems exhibit patterns of interconnection that conform, approximately, to a network structure referred to as scale-free. Preferential attachment is one of many algorithms that have been introduced to…

Physics and Society · Physics 2014-11-18 Linjun Zhang , Michael Small , Kevin Judd

A labeling scheme for nearest common ancestors assigns a distinct binary string, called the label, to every node of a tree, so that given the labels of two nodes (and no further information about the topology of the tree) we can compute the…

Data Structures and Algorithms · Computer Science 2017-07-20 Paweł Gawrychowski , Jakub Łopuszański

The stochastic block model is one of the most studied network models for community detection. It is well-known that most algorithms proposed for fitting the stochastic block model likelihood function cannot scale to large-scale networks.…

Methodology · Statistics 2021-08-31 Jiangzhou Wang , Jingfei Zhang , Binghui Liu , Ji Zhu , Jianhua Guo

How to construct an ideal multi-secret sharing scheme for general access structures is difficult. In this paper, we solve an open problem proposed by Spiez et al.recently [Finite Fields and Their Application, 2011(17) 329-342], namely to…

Cryptography and Security · Computer Science 2012-12-27 Yun Song , Zhihui Li