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In this paper, we leverage polar codes and the well-established channel polarization to design capacity-achieving codes with a certain constraint on the weights of all the columns in the generator matrix (GM) while having a low-complexity…

Information Theory · Computer Science 2023-03-17 James Chin-Jen Pang , Hessam Mahdavifar , S. Sandeep Pradhan

This paper studies a generalization of sparse superposition codes (SPARCs) for communication over the complex additive white Gaussian noise (AWGN) channel. In a SPARC, the codebook is defined in terms of a design matrix, and each codeword…

Information Theory · Computer Science 2021-06-25 Kuan Hsieh , Ramji Venkataramanan

It is known that a message can be transmitted safely against any wiretapper via a noisy channel without a secret key if the coding rate is less than the so-called secrecy capacity $C_S$, which is usually smaller than the channel capacity…

Information Theory · Computer Science 2007-07-16 Daisuke Kobayashi , Hirosuke Yamamoto , Tomohiro Ogawa

In this paper, a renewable, multi-use, multi-secret sharing scheme for general access structure based on one-way collision resistant hash function is presented in which each participant has to carry only one share. By applying…

Cryptography and Security · Computer Science 2019-07-09 Angsuman Das , Avishek Adhikari

In this paper, we study codes with sparse generator matrices. More specifically, low-density generator matrix (LDGM) codes with a certain constraint on the weight of the columns in the generator matrix are considered. In this paper, it is…

Information Theory · Computer Science 2022-06-28 James Chin-Jen Pang , Hessam Mahdavifar , S. Sandeep Pradhan

Sparse Matrix-Matrix multiplication is a key kernel that has applications in several domains such as scientific computing and graph analysis. Several algorithms have been studied in the past for this foundational kernel. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-10 Mehmet Deveci , Christian Trott , Sivasankaran Rajamanickam

Coded caching schemes with low subpacketization and small transmission rate are desirable in practice due to the requirement of low implementation complexity and efficiency of the transmission. Placement delivery arrays (PDA in short) can…

Information Theory · Computer Science 2020-08-25 Mingming Zhang , Minquan Cheng , Jinyu Wang , Xi Zhong , Yishan Chen

In this paper, we propose a construction for multi-kernel polar codes based on the maximization of the minimum distance. Compared to the original construction based on density evolution, our new design shows particular advantages for short…

Information Theory · Computer Science 2017-09-05 Valerio Bioglio , Frederic Gabry , Ingmar Land , Jean-Claude Belfiore

This paper introduces the notion of multiset codes as relevant to the problem of reliable information transmission over permutation channels. The motivation for studying permutation channels comes from the effect of out of order delivery of…

Information Theory · Computer Science 2013-02-01 Mladen Kovačević , Dejan Vukobratović

We construct a new protocol for attribute-based encryption with the use of the modification of the standard secret sharing scheme. In the suggested modification of the secret sharing scheme, only one master key for each user is required…

Cryptography and Security · Computer Science 2020-11-24 M. A. Kudinov , A. A. Chilikov , E. O. Kiktenko , A. K. Fedorov

In this paper, we investigate secure communication over sparse millimeter-wave (mm-Wave) massive multiple-input multiple-output (MIMO) channels by exploiting the spatial sparsity of legitimate user's channel. We propose a secure…

Information Theory · Computer Science 2019-11-19 Jindan Xu , Wei Xu , Derrick Wing Kwan Ng , A. Lee Swindlehurst

Developing computationally-efficient codes that approach the Shannon-theoretic limits for communication and compression has long been one of the major goals of information and coding theory. There have been significant advances towards this…

Information Theory · Computer Science 2019-11-05 Ramji Venkataramanan , Sekhar Tatikonda , Andrew Barron

To address the massive growth of data traffic over cellular networks, increasing spatial reuse of the frequency spectrum by the deployment of small base stations (SBSs) has been considered. For rapid deployment of SBSs in the networks,…

In this paper, we address the problem of achieving efficient code-based digital signatures with small public keys. The solution we propose exploits sparse syndromes and randomly designed low-density generator matrix codes. Based on our…

Cryptography and Security · Computer Science 2013-05-24 Marco Baldi , Marco Bianchi , Franco Chiaraluce , Joachim Rosenthal , Davide Schipani

Spatially-coupled (SC) codes, known for their threshold saturation phenomenon and low-latency windowed decoding algorithms, are ideal for streaming applications. They also find application in various data storage systems because of their…

Information Theory · Computer Science 2021-01-26 Siyi Yang , Ahmed Hareedy , Shyam Venkatasubramanian , Robert Calderbank , Lara Dolecek

We recently proved threshold saturation for spatially coupled sparse superposition codes on the additive white Gaussian noise channel. Here we generalize our analysis to a much broader setting. We show for any memoryless channel that…

Information Theory · Computer Science 2016-03-16 Jean Barbier , Mohamad Dia , Nicolas Macris

Network coding can significantly improve the transmission rate of communication networks with packet loss compared with routing. However, using network coding usually incurs high computational and storage costs in the network devices and…

Information Theory · Computer Science 2014-10-13 Shenghao Yang , Raymond W. Yeung

This paper studies channel coding for the discrete memoryless multiple-access channel with a given (possibly suboptimal) decoding rule. A multi-letter successive decoding rule depending on an arbitrary non-negative decoding metric is…

Information Theory · Computer Science 2017-12-08 Jonathan Scarlett , Alfonso Martinez , Albert Guillén i Fàbregas

The main aim of this paper is to construct a multi-secret sharing scheme for general access structure in a trusted dealer model using suitable hash function and Lagrange's interpolation method. Even though, the proposed scheme is a…

Cryptography and Security · Computer Science 2014-09-02 Partha Sarathi Roy , Avishek Adhikari

Learning compact binary codes for image retrieval problem using deep neural networks has recently attracted increasing attention. However, training deep hashing networks is challenging due to the binary constraints on the hash codes. In…

Computer Vision and Pattern Recognition · Computer Science 2019-09-02 Thanh-Toan Do , Tuan Hoang , Dang-Khoa Le Tan , Anh-Dzung Doan , Ngai-Man Cheung
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