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Related papers: On Secrecy Capacity of Minimum Storage Regeneratin…

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The secrecy capacity of relay channels with orthogonal components is studied in the presence of an additional passive eavesdropper node. The relay and destination receive signals from the source on two orthogonal channels such that the…

Information Theory · Computer Science 2009-06-09 Vaneet Aggarwal , Lalitha Sankar , A. Robert Calderbank , H. Vincent Poor

This paper derives upper and lower bounds on the secrecy capacity-memory tradeoff of a wiretap erasure broadcast channel (BC) with Kw weak receivers and Ks strong receivers, where weak receivers, respectively strong receivers, have same…

Information Theory · Computer Science 2018-01-03 Sarah Kamel , Mireille Sarkiss , Michèle Wigger , Ghaya Rekaya-Ben Othman

We consider the rack-aware storage system where $n=\bar{n}u$ nodes are organized in $\bar{n}$ racks each containing $u$ nodes, and any $k=\bar{k}u+u_0~(0\leq u_0<u)$ nodes can retrieve the original data file. More importantly, the…

Information Theory · Computer Science 2021-03-30 Liyang Zhou , Zhifang Zhang

An $(n,k,d)$ cooperative regenerating code provides the optimal-bandwidth repair for any $t~(t\!>\!1)$ node failures in a cooperative way. In particular, an MSCR (minimum storage cooperative regenerating) code retains the same storage…

Information Theory · Computer Science 2018-10-11 Yaqian Zhang , Zhifang Zhang

This paper presents an explicit construction for an $((n,k,d=n-1), (\alpha,\beta))$ regenerating code over a field $\mathbb{F}_Q$ operating at the Minimum Storage Regeneration (MSR) point. The MSR code can be constructed to have rate $k/n$…

Information Theory · Computer Science 2016-09-20 Birenjith Sasidharan , Myna Vajha , P. Vijay Kumar

The newly presented $(k+2,k)$ Hadamard minimum storage regenerating (MSR) code is the first class of high rate storage code with optimal repair property for all single node failures. In this paper, we propose a new simple repair strategy,…

Information Theory · Computer Science 2013-12-19 Xiaohu Tang , Bin Yang , Jie Li

In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages to two receivers, while a wire-tapper also receives the transmitted signal. This model is motivated by wireless communications, where…

Information Theory · Computer Science 2009-10-20 Ghadamali Bagherikaram , Abolfazl S. Motahari , Amir K. Khandani

Regenerating codes are efficient methods for distributed storage in storage networks, where node failures are common. They guarantee low cost data reconstruction and repair through accessing only a predefined number of arbitrarily chosen…

Information Theory · Computer Science 2017-11-09 Kaveh Mahdaviani , Ashish Khisti , Soheil Mohajer

We consider the secure transmission of information over an ergodic fading channel in the presence of an eavesdropper. Our eavesdropper can be viewed as the wireless counterpart of Wyner's wiretapper. The secrecy capacity of such a system is…

Information Theory · Computer Science 2007-07-16 Praveen Kumar Gopala , Lifeng Lai , Hesham El Gamal

Erasure codes play an important role in storage systems to prevent data loss. In this work, we study a class of erasure codes called Multi-Erasure Locally Recoverable Codes (ME-LRCs) for flash memory array. Compared to previous related…

Information Theory · Computer Science 2017-01-24 Pengfei Huang , Eitan Yaakobi , Paul H. Siegel

The efficient coding hypothesis proposes that the response properties of sensory systems are adapted to the statistics of their inputs such that they capture maximal information about the environment, subject to biological constraints.…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Thomas Yerxa , Yilun Kuang , Eero Simoncelli , SueYeon Chung

This paper presents an explicit construction of a class of optimal-access, minimum storage regenerating (MSR) codes, for small values of the number $d$ of helper nodes. The construction is valid for any parameter set $(n,k,d)$ with $d \in…

Information Theory · Computer Science 2021-09-23 Myna Vajha , S. B. Balaji , P. Vijay Kumar

Cooperative MSR codes are a kind of storage codes which enable optimal-bandwidth repair of any $h\geq2$ node erasures in a cooperative way, while retaining the minimum storage as an $[n,k]$ MDS code. Each code coordinate (node) is assumed…

Information Theory · Computer Science 2026-01-15 Yaqian Zhang , Jingke Xu

Regenerating codes are a class of recently developed codes for distributed storage that, like Reed-Solomon codes, permit data recovery from any arbitrary k of n nodes. However regenerating codes possess in addition, the ability to repair a…

Information Theory · Computer Science 2015-03-17 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar , Kannan Ramchandran

Abundant high-rate (n, k) minimum storage regenerating (MSR) codes have been reported in the literature. However, most of them require contacting all the surviving nodes during a node repair process, resulting in a repair degree of d=n-1.…

Information Theory · Computer Science 2023-05-30 Jie Li , Yi Liu , Xiaohu Tang , Yunghsiang S. Han , Bo Bai , Gong Zhang

This thesis makes several significant contributions to the theory of both Regenerating (RG) and Locally Recoverable (LR) codes. The two principal contributions are characterizing the optimal rate of an LR code designed to recover from $t$…

Information Theory · Computer Science 2018-06-13 S. B. Balaji , P. Vijay Kumar

We consider the design of regenerating codes for distributed storage systems that enjoy the property of local, exact and uncoded repair, i.e., (a) upon failure, a node can be regenerated by simply downloading packets from the surviving…

Information Theory · Computer Science 2013-05-27 Oktay Olmez , Aditya Ramamoorthy

In this paper, we consider secure transmissions in ergodic Rayleigh fast-faded multiple-input multiple-output multiple-antenna-eavesdropper (MIMOME) wiretap channels with only statistical channel state information at the transmitter (CSIT).…

Information Theory · Computer Science 2014-05-13 Shih-Chun Lin , Cheng-Liang Lin

In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages for two respective receivers, while a wire-tapper also receives the transmitted signal. This model is motivated by wireless…

Information Theory · Computer Science 2008-07-30 Ghadamali Bagherikaram , Abolfazl S. Motahari , Amir K. Khandani

This paper presents flexible storage codes, a class of error-correcting codes that can recover information from a flexible number of storage nodes. As a result, one can make a better use of the available storage nodes in the presence of…

Information Theory · Computer Science 2021-06-23 Weiqi Li , Zhiying Wang , Taiting Lu , Hamid Jafarkhani