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The problem of securing a network coding communication system against an eavesdropper adversary is considered. The network implements linear network coding to deliver n packets from source to each receiver, and the adversary can eavesdrop…

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

This paper proposes a generic approach for providing enhanced security to communication systems which encode their data for reliability before encrypting it through a stream cipher for security. We call this counter-intuitive technique the…

Cryptography and Security · Computer Science 2010-08-06 Frederique Oggier , Miodrag J. Mihaljevic

We derive a lower bound on the secrecy capacity of the compound wiretap channel with channel state information at the transmitter which matches the general upper bound on the secrecy capacity of general compound wiretap channels given by…

Information Theory · Computer Science 2011-08-10 Igor Bjelaković , Holger Boche , Jochen Sommerfeld

In this paper we discuss the ability of channel codes to enhance cryptographic secrecy. Toward that end, we present the secrecy metric of degrees of freedom in an attacker's knowledge of the cryptogram, which is similar to equivocation.…

Cryptography and Security · Computer Science 2015-09-24 W. K. Harrison , J. Almeida , S. W. McLaughlin , J. Barros

We consider linear network error correction (LNEC) coding when errors may occur on edges of a communication network of which the topology is known. In this paper, we first revisit and explore the framework of LNEC coding, and then unify two…

Information Theory · Computer Science 2021-03-16 Xuan Guang , Raymond W. Yeung

We furnish a procedure based on universal hash families (UHFs) that can convert an error correcting coding scheme (ECC) of rate $R$ into a semantically secure wiretap coding scheme of rate $R - \xi$ where $\xi$ is a parameter derived from…

Information Theory · Computer Science 2019-03-22 Eric Kubischta , Parker Pavlicek , Sanjay Karmakar

Quantum information is fragile and must be protected by a quantum error-correcting code for large-scale practical applications. Recently, highly efficient quantum codes have been discovered which require a high degree of spatial…

Quantum Physics · Physics 2026-04-27 Nouédyn Baspin , Dominic Williamson

We introduce a new technique to certify lower bounds on the multicut size using network coding. In directed networks the network coding rate is not a lower bound on the multicut, but we identify a class of networks on which the rate is…

Combinatorics · Mathematics 2013-05-17 Anna Blasiak

Secure network function computation is a critical research direction in network coding, which aims to ensure that the target function is correctly computed at the sink node while preventing the wiretapper from obtaining any information…

Information Theory · Computer Science 2026-04-02 Qin Zhou , Fang-Wei Fu

This paper focuses on error-correcting codes that can handle a predefined set of specific error patterns. The need for such codes arises in many settings of practical interest, including wireless communication and flash memory systems. In…

Information Theory · Computer Science 2021-02-05 Mira Gonen , Michael Langberg , Alex Sprintson

Reliable communication imposes an upper limit on the achievable rate, namely the Shannon capacity. Wyner's wiretap coding, which ensures a security constraint also, in addition to reliability, results in decrease of the achievable rate. To…

Information Theory · Computer Science 2017-02-14 Shahid M. Shah , Vinod Sharma

Network coding theory studies the transmission of information in networks whose vertices may perform nontrivial encoding and decoding operations on data as it passes through the network. The main approach to deciding the feasibility of…

Information Theory · Computer Science 2010-01-12 Anna Blasiak , Robert Kleinberg

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

Network coding is studied when an adversary controls a subset of nodes in the network of limited quantity but unknown location. This problem is shown to be more difficult than when the adversary controls a given number of edges in the…

Information Theory · Computer Science 2011-12-15 Oliver Kosut , Lang Tong , David Tse

Link and node failures are two common fundamental problems that affect operational networks. Protection of communication networks against such failures is essential for maintaining network reliability and performance. Network protection…

Information Theory · Computer Science 2010-08-26 Salah A. Aly , Ahmed E. Kamal , Anwar I. Walid

We develop the proposal of non-systematic channel codes on the AWGN wire-tap channel. Such coding technique, based on scrambling, achieves high transmission security with a small degradation of the eavesdropper's channel with respect to the…

Information Theory · Computer Science 2013-01-14 Marco Baldi , Marco Bianchi , Franco Chiaraluce

In the two-part paper, we consider the problem of secure network coding when the information rate and the security level can change over time. To efficiently solve this problem, we put forward local-encoding-preserving secure network…

Information Theory · Computer Science 2018-11-07 Xuan Guang , Raymond W. Yeung , Fang-Wei Fu

This paper considers the problem of secure coding design for a type II wiretap channel, where the main channel is noiseless and the eavesdropper channel is a general binary-input symmetric-output memoryless channel. The proposed secure…

Information Theory · Computer Science 2016-11-18 Ruoheng Liu , Yingbin Liang , H. Vincent Poor , Predrag Spasojevic

We consider the problem of computing the capacity of a coded, multicast network over a small alphabet. We introduce a novel approach to this problem based on mixed integer programming. As an application of our approach, we recover, extend…

Information Theory · Computer Science 2022-12-15 Christopher Hojny , Altan B. Kilic , Alberto Ravagnani

In communication field, an important issue is to group users and base stations to as many as possible subnetworks satisfying certain interference constraints. These problems are usually formulated as a graph partition problems which…

Combinatorics · Mathematics 2020-09-30 Chicheng Ma , Yucong Tang , Guanghui Wang , Guiying Yan , Bo Bai