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In this paper, we show the equivalency of weak and strong secrecy conditions for a large class of secure network coding problems. When we restrict to linear operations, we show the equivalency of "perfect secrecy and zero-error constraints"…

Information Theory · Computer Science 2016-09-16 Mohammad Mahdi Mojahedian , Amin Gohari , Mohammad Reza Aref

In the paradigm of network coding, the information-theoretic security problem is encountered in the presence of a wiretapper, who has capability of accessing an unknown channel-subset in communication networks. In order to combat this…

Information Theory · Computer Science 2016-11-28 Xuan Guang

The problem of error correction in both coherent and noncoherent network coding is considered under an adversarial model. For coherent network coding, where knowledge of the network topology and network code is assumed at the source and…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang

In secure network coding, there is a possibility that the eavesdropper can improve her performance when she changes (contaminates) the information on the attacked edges (active attack) and chooses the attacked edges adaptively (adaptive…

Information Theory · Computer Science 2024-09-10 Ning Cai , Masahito Hayashi

Under the emerging network coding paradigm, intermediate nodes in the network are allowed not only to store and forward packets but also to process and mix different data flows. We propose a low-complexity cryptographic scheme that exploits…

Cryptography and Security · Computer Science 2016-11-17 Joao P. Vilela , Luisa Lima , Joao Barros

We consider the random linear precoder at the source node as a secure network coding. We prove that it is strongly secure in the sense of Harada and Yamamoto and universal secure in the sense of Silva and Kschischang, while allowing…

Information Theory · Computer Science 2017-04-14 Ryutaroh Matsumoto , Masahito Hayashi

This paper proposes a novel achievable scheme for the index problem and applies it to the caching problem. Index coding and caching are noiseless broadcast channel problems where receivers have message side information.In the index coding…

Information Theory · Computer Science 2017-02-24 Kai Wan , Daniela Tuninetti , Pablo Piantanida

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

We consider the level of information security provided by random linear network coding in network scenarios in which all nodes comply with the communication protocols yet are assumed to be potential eavesdroppers (i.e. "nice but curious").…

Information Theory · Computer Science 2007-07-13 Luísa Lima , Muriel Médard , João Barros

This paper considers the problem of securing a linear network coding system against an adversary that is both an eavesdropper and a jammer. The network is assumed to transport n packets from source to each receiver, and the adversary is…

Information Theory · Computer Science 2016-11-17 Danilo Silva , Frank R. Kschischang

Silva et al. proposed a universal secure network coding scheme based on MRD codes, which can be applied to any underlying network code. This paper considers a stronger eavesdropping model where the eavesdroppers possess the ability to…

Information Theory · Computer Science 2010-11-03 Eitaro Shioji , Ryutaroh Matsumoto , Tomohiko Uyematsu

Protecting against link failures in communication networks is essential to increase robustness, accessibility, and reliability of data transmission. Recently, network coding has been proposed as a solution to provide agile and cost…

Information Theory · Computer Science 2016-11-17 Salah A. Aly , Ahmed E. Kamal

In this paper, we investigate the index coding problem in the presence of an eavesdropper. Messages are to be sent from one transmitter to a number of legitimate receivers who have side information about the messages, and share a set of…

Information Theory · Computer Science 2016-11-17 Mohammad Mahdi Mojahedian , Mohammad Reza Aref , Amin Gohari

Link and node failures are common two fundamental problems that affect operational networks. Hence, protection of communication networks is essential to increase their reliability, performance, and operations. Much research work has been…

Information Theory · Computer Science 2009-06-30 Salah A. Aly , Ahmed E. Kamal

In this paper, we propose an algorithm that targets contamination and eavesdropping adversaries. We consider the case when the number of independent packets available to the eavesdropper is less than the multicast capacity of the network.…

Cryptography and Security · Computer Science 2008-05-16 Yejun Zhou , Hui Li , Jianfeng Ma

In network coding, information transmission often encounters wiretapping attacks. Secure network coding is introduced to prevent information from being leaked to adversaries. For secure linear network codes (SLNCs), the required field size…

Information Theory · Computer Science 2014-12-22 Xuan Guang , Jiyong Lu , Fang-Wei Fu

Index coding is often studied with the assumption that a single source has all the messages requested by the receivers. We refer to this as \emph{centralized} index coding. In contrast, this paper focuses on \emph{distributed} index coding…

Information Theory · Computer Science 2015-12-21 Parastoo Sadeghi

In this paper, we generalize the well-known index coding problem to exploit the structure in the source-data to improve system throughput. In many applications, the data to be transmitted may lie (or can be well approximated) in a…

Information Theory · Computer Science 2017-04-11 Bhavya Kailkhura , Lakshmi Narasimhan Theagarajan , Pramod K. Varshney

Security aspects of the Index Coding with Side Information (ICSI) problem are investigated. Building on the results of Bar-Yossef et al. (2006), the properties of linear coding schemes for the ICSI problem are further explored. The notion…

Information Theory · Computer Science 2010-11-29 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

In the secure network coding for multicasting, there is loss of information rate due to inclusion of random bits at the source node. We show a method to eliminate that loss of information rate by using multiple statistically independent…

Information Theory · Computer Science 2011-11-09 Ryutaroh Matsumoto , Masahito Hayashi