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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 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

Error control is significant to network coding, since when unchecked, errors greatly deteriorate the throughput gains of network coding and seriously undermine both reliability and security of data. Two families of codes, subspace and rank…

Information Theory · Computer Science 2012-05-04 Zhiyuan Yan , Hongmei Xie

Systems that employ network coding for content distribution convey to the receivers linear combinations of the source packets. If we assume randomized network coding, during this process the network nodes collect random subspaces of the…

Information Theory · Computer Science 2016-11-17 Mahdi Jafari Siavoshani , Christina Fragouli , Suhas Diggavi

We consider the basic bidirectional relaying problem, in which two users in a wireless network wish to exchange messages through an intermediate relay node. In the compute-and-forward strategy, the relay computes a function of the two…

Information Theory · Computer Science 2016-11-15 Shashank Vatedka , Navin Kashyap , Andrew Thangaraj

Security constraint results in \textit{rate-loss} in wiretap channels. In this paper we propose a coding scheme for two user Multiple Access Channel with Wiretap (MAC-WT), where previous messages are used as a key to enhance the secrecy…

Information Theory · Computer Science 2017-01-17 Shahid M. Shah , Vinod Sharma

We study information leakage in secure linear network coding schemes based on nested rank-metric codes. We show that the amount of information leaked to an adversary that observes a subset of network links is characterized by the…

Information Theory · Computer Science 2026-01-13 Eimear Byrne , Johan Vester Dinesen , Ragnar Freij-Hollanti , Camilla Hollanti

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

Future wireless networks must serve dense mobile networks with high data rates, keeping energy requirements to a possible minimum. The small cell-based network architecture and device-to-device (D2D) communication are already being…

Networking and Internet Architecture · Computer Science 2022-05-19 Vipindev Adat Vasudevan , Muhammad Tayyab , George P. Koudouridis , Xavier Gelabert , Ilias Politis

We consider the problem of designing codes for distributed storage that protect user data against eavesdroppers that can gain access to network links as well as individual nodes. Our goal is to achieve weak security (also known as block…

Information Theory · Computer Science 2017-10-19 Swanand Kadhe , Alex Sprintson

In this paper, we present an achievable security scheme for an interference channel with arbitrary number of users. In this model, each receiver should be able to decode its intended message while it cannot decode any meaningful information…

Cryptography and Security · Computer Science 2020-04-20 Parisa Babaheidarian , Somayeh Salimi , Panos Papadimitratos

Joint encryption-encoding schemes have been released to fulfill both reliability and security desires in a single step. Using Low Density Parity Check (LDPC) codes in joint encryption-encoding schemes, as an alternative to classical linear…

Information Theory · Computer Science 2019-02-22 Hossein Khayami , Taraneh Eghlidos , Mohammad Reza Aref

An attacker can gain information of a user by analyzing its network traffic. The size of transferred data leaks information about the file being transferred or the service being used, and this is particularly revealing when the attacker has…

Cryptography and Security · Computer Science 2022-09-12 Sebastian Simon , Cezara Petrui , Carlos Pinzón , Catuscia Palamidessi

A secret sharing scheme (SSS) was introduced by Shamir in 1979 using polynomial interpolation. Later it turned out that it is equivalent to an SSS based on a Reed-Solomon code. SSSs based on linear codes have been studied by many…

Information Theory · Computer Science 2017-01-17 Jon-Lark Kim , Nari Lee

A quantum encryption scheme (also called private quantum channel, or state randomization protocol) is a one-time pad for quantum messages. If two parties share a classical random string, one of them can transmit a quantum state to the other…

Quantum Physics · Physics 2007-05-23 Andris Ambainis , Adam Smith

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

By allowing intermediate nodes to perform non-trivial operations on packets, such as mixing data from multiple streams, network coding breaks with the ruling store and forward networking paradigm and opens a myriad of challenging security…

Cryptography and Security · Computer Science 2008-09-09 Luísa Lima , João P. Vilela , Paulo F. Oliveira , João Barros

Algebraic Manipulation Detection (AMD) codes is a cryptographic primitive that was introduced by Cramer, Dodis, Fehr, Padro and Wichs. They are keyless message authentication codes that protect messages against additive tampering by the…

Cryptography and Security · Computer Science 2025-05-12 Divesh Aggarwal , Tomasz Kazana , Maciej Obremski

A general class of authentication schemes for arbitrary quantum messages is proposed. The class is based on the use of sets of unitary quantum operations in both transmission and reception, and on appending a quantum tag to the quantum…

Quantum Physics · Physics 2015-06-26 Esther Perez , Marcos Curty , David J. Santos , Priscila Garcia-Fernandez

We present an approach to showing that a linear code is resilient to random errors. We use this approach to obtain decoding results for both transitive codes and Reed-Muller codes. We give three kinds of results about linear codes in…

Information Theory · Computer Science 2025-02-27 Anup Rao , Oscar Sprumont