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We construct a universal secure network coding. Our construction just modifies the transmission scheme at the source node and works with every linear coding at an intermediate node. We relax the security criterion such that the mutual…

Information Theory · Computer Science 2011-02-17 Ryutaroh Matsumoto

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

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

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

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

It is natural in a quantum network system that multiple users intend to send their quantum message to their respective receivers, which is called a multiple unicast quantum network. We propose a canonical method to derive a secure quantum…

Quantum Physics · Physics 2020-03-31 Go Kato , Masaki Owari , Masahito Hayashi

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

We determine the capacity region of the secure multiplex coding with a common message, and evaluate the mutual information and the equivocation rate of a collection of secret messages to the second receiver (eavesdropper), which were not…

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

This paper deals with a universal coding problem for a certain kind of multiterminal source coding network called a generalized complementary delivery network. In this network, messages from multiple correlated sources are jointly encoded,…

Information Theory · Computer Science 2009-04-02 Akisato Kimura , Tomohiko Uyematsu , Shigeaki Kuzuoka , Shun Watanabe

The secure multiplex coding (SMC) is a technique to remove rate loss in the coding for wire-tap channels and broadcast channels with confidential messages caused by the inclusion of random bits into transmitted signals. SMC replaces the…

Information Theory · Computer Science 2016-09-28 Masahito Hayashi , Ryutaroh Matsumoto

We consider a network of two nodes separated by a noisy channel, in which the source and its reconstruction have to be strongly coordinated, while simultaneously satisfying the strong secrecy condition with respect to an outside observer of…

Information Theory · Computer Science 2020-09-04 Giulia Cervia , German Bassi , Mikael Skoglund

It is common in the study of secure multicast network coding in the presence of an eavesdropper that has access to $z$ network links, to assume that the source node is the only node that generates random keys. In this setting, the secure…

Information Theory · Computer Science 2019-07-09 Debaditya Chaudhuri , Michael Langberg , Michelle Effros

In network communications, information transmission often encounters wiretapping attacks. Secure network coding is introduced to prevent information from being leaked to adversaries. The investigation of performance bounds on the numbers of…

Information Theory · Computer Science 2015-05-07 Xuan Guang , Jiyong Lu , Fang-Wei Fu

The two-sender unicast index coding problem is the most fundamental multi-sender index coding problem. The two senders collectively cater to the demands of all the receivers, by taking advantage of the knowledge of their side-information.…

Information Theory · Computer Science 2019-04-05 Chinmayananda Arunachala , B. Sundar Rajan

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

The universal secure network coding presented by Silva et al. realizes secure and reliable transmission of a secret message over any underlying network code, by using maximum rank distance codes. Inspired by their result, this paper…

Information Theory · Computer Science 2013-04-03 Jun Kurihara , Tomohiko Uyematsu , Ryutaroh Matsumoto

We investigate the construction of weakly-secure index codes for a sender to send messages to multiple receivers with side information in the presence of an eavesdropper. We derive a sufficient and necessary condition for the existence of…

Information Theory · Computer Science 2016-11-17 Lawrence Ong , Badri N. Vellambi , Phee Lep Yeoh , Jörg Kliewer , Jinhong Yuan

Random linear network codes can be designed and implemented in a distributed manner, with low computational complexity. However, these codes are classically implemented over finite fields whose size depends on some global network parameters…

Information Theory · Computer Science 2010-08-04 Tracey Ho , Sidharth Jaggi , Svitlana Vyetrenko , Lingxiao Xia

We discuss secure transmission via an untrusted relay when we have a multiple access phase from two nodes to the relay and broadcast phase from the relay to the two nodes. To realize the security, we construct a code that securely transmits…

Information Theory · Computer Science 2024-09-10 Masahito Hayashi , Tadashi Wadayama , Angeles Vazquez-Castro

We investigate the security of generalized quantum multiple-access channels. We provide the formula for the achievable rate region of secure communication in the scenario of two senders and a single receiver. We explicitly specify a…

Quantum Physics · Physics 2021-06-28 Tamoghna Das , Karol Horodecki , Robert Pisarczyk
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