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Minimal codes are a class of linear codes which gained interest in the last years, thanks to their connections to secret sharing schemes. In this paper we provide the weight distribution and the parameters of families of minimal codes…

Combinatorics · Mathematics 2020-04-30 Daniele Bartoli , Matteo Bonini , Marco Timpanella

Network coding is an efficient means to improve the spectrum efficiency of satellite communications. However, its resilience to eavesdropping attacks is not well understood. This paper studies the confidentiality issue in a bidirectional…

Information Theory · Computer Science 2016-11-17 Ashkan Kalantari , Gan Zheng , Zhen Gao , Zhu Han , Björn Ottersten

In this work, we introduce a new technique for taking a single-secret sharing scheme with a general access structure and transforming it into an individually secure multi-secret sharing scheme where every secret has the same general access…

Information Theory · Computer Science 2024-05-14 Cailyn Bass , Alejandro Cohen , Rafael G. L. D'Oliveira , Muriel Médard

We consider the leakage resilience of AG code-based ramp secret sharing schemes extending the leakage resilience of linear threshold secret sharing schemes over prime fields done by Benhamouda et al. Since there is not any explicit…

Information Theory · Computer Science 2021-06-01 Ivan Tjuawinata , Chaoping Xing

Authentication and encryption are traditionally treated as two separate processes in wireless networks, this paper integrates user authentication into the process of solving eavesdropping attacks. A compressed sensing (CS)-based framework…

Cryptography and Security · Computer Science 2020-12-18 Chaoqing Tang

A new nonlinear Rao-Nam like symmetric key encryption scheme is presented in this paper. QC-LDPC lattices that are practically implementable in high dimensions due to their low complexity encoding and decoding algorithms, are used in our…

Information Theory · Computer Science 2019-06-17 Khadijeh Bagheri , Taraneh Eghlidos , Mohammad-Reza Sadeghi , Daniel Panario

This letter focuses on the physical layer security over two-user multiple-input multiple-output (MIMO) non-orthogonal multiple access (NOMA) networks. A linear precoding technique is designed to ensure the confidentiality of the message of…

Information Theory · Computer Science 2020-08-14 Yue Qi , Mojtaba Vaezi

Coded caching is a technique that generalizes conventional caching and promises significant reductions in traffic over caching networks. However, the basic coded caching scheme requires that each file hosted in the server be partitioned…

Information Theory · Computer Science 2018-02-20 Li Tang , Aditya Ramamoorthy

Recently, physical layer security in the optical layer has gained significant traction. Security treats in optical networks generally impact the reliability of optical transmission. Linear Network Coding (LNC) can protect from both the…

Cryptography and Security · Computer Science 2015-10-26 Anna Engelmann , Admela Jukan

Random linear network coding can be used in peer-to-peer networks to increase the efficiency of content distribution and distributed storage. However, these systems are particularly susceptible to Byzantine attacks. We quantify the impact…

Networking and Internet Architecture · Computer Science 2016-11-17 MinJi Kim , Luísa Lima , Fang Zhao , Joao Barros , Muriel Medard , Ralf Koetter , Ton Kalker , Keesook Han

This paper considers the multiple-access relay channel in a setting where two source nodes transmit packets to a destination node, both directly and via a relay node, over packet erasure channels. Intra-session network coding is used at the…

Information Theory · Computer Science 2022-03-08 Amjad Saeed Khan , Ioannis Chatzigeorgiou

Multilevel diversity coding is a classical coding model where multiple mutually independent information messages are encoded, such that different reliability requirements can be afforded to different messages. It is well known that {\em…

Information Theory · Computer Science 2020-06-11 Tao Guo , Chao Tian , Tie Liu , Raymond W. Yeung

A general lossless joint source-channel coding (JSCC) scheme based on linear codes and random interleavers for multiple-access channels (MACs) is presented and then analyzed in this paper. By the information-spectrum approach and the…

Information Theory · Computer Science 2009-03-31 Shengtian Yang , Yan Chen , Peiliang Qiu

We show strongly secret achievable rate regions for two different wiretap multiple-access channel coding problems. In the first problem, each encoder has a private message and both together have a common message to transmit. The encoders…

Information Theory · Computer Science 2014-06-05 Moritz Wiese , Holger Boche

Very recently, an operator channel was defined by Koetter and Kschischang when they studied random network coding. They also introduced constant dimension codes and demonstrated that these codes can be employed to correct errors and/or…

Information Theory · Computer Science 2007-09-10 Shu-Tao Xia , Fang-Wei Fu

Suppose Alice wishes to send messages to Bob through a communication channel C_1, but her transmissions also reach an eavesdropper Eve through another channel C_2. The goal is to design a coding scheme that makes it possible for Alice to…

Information Theory · Computer Science 2015-03-13 Hessam Mahdavifar , Alexander Vardy

The global interest in quantum networks stems from the security guaranteed by the laws of physics. Deploying quantum networks means facing the challenges of scaling up the physical hardware and, more importantly, of scaling up all other…

As a special class of linear codes, minimal linear codes have important applications in secret sharing and secure two-party computation. Constructing minimal linear codes with new and desirable parameters has been an interesting research…

Information Theory · Computer Science 2018-03-28 Ziling Heng , Cunsheng Ding , Zhengchun Zhou

Mart{\'\i}nez-Pe{\~n}as and Kschischang (IEEE Trans.\ Inf.\ Theory, 2019) proposed lifted linearized Reed--Solomon codes as suitable codes for error control in multishot network coding. We show how to construct and decode \ac{LILRS} codes.…

Information Theory · Computer Science 2023-07-13 Hannes Bartz , Sven Puchinger

One of the fundamental challenges in the design of distributed wireless networks is the large dynamic range of network state. Since continuous tracking of global network state at all nodes is practically impossible, nodes can only acquire…

Information Theory · Computer Science 2017-04-18 Alireza Vahid , Vaneet Aggarwal , A. Salman Avestimehr , Ashutosh Sabharwal