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Hypernetworks were recently shown to improve the performance of message passing algorithms for decoding error correcting codes. In this work, we demonstrate how hypernetworks can be applied to decode polar codes by employing a new…

Information Theory · Computer Science 2020-02-11 Eliya Nachmani , Lior Wolf

This paper addresses the problem of learning binary hash codes for large scale image search by proposing a novel hashing method based on deep neural network. The advantage of our deep model over previous deep model used in hashing is that…

Computer Vision and Pattern Recognition · Computer Science 2015-08-31 Thanh-Toan Do , Anh-Zung Doan , Ngai-Man Cheung

In this paper, we demonstrate some applications of compressive sensing over networks. We make a connection between compressive sensing and traditional information theoretic techniques in source coding and channel coding. Our results provide…

Information Theory · Computer Science 2010-12-07 Soheil Feizi , Muriel Medard , Michelle Effros

Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a…

Information Theory · Computer Science 2022-09-13 Issam Maarouf , Andreas Lenz , Lorenz Welter , Antonia Wachter-Zeh , Eirik Rosnes , Alexandre Graell i Amat

A new algorithm for efficient exact maximum likelihood decoding of polar codes (which may be CRC augmented), transmitted over the binary erasure channel, is presented. The algorithm applies a matrix triangulation process on a sparse polar…

Information Theory · Computer Science 2021-06-29 Yonatan Urman , David Burshtein

We compare the performance of short-length linear binary codes on the binary erasure channel and the binary-input Gaussian channel. We use a universal decoder that can decode any linear binary block code: Gaussian-elimination based…

Information Theory · Computer Science 2016-11-09 J. Van Wonterghem , A. Alloum , J. J. Boutros , M. Moeneclaey

In this paper, we use reinforcement learning to find effective decoding strategies for binary linear codes. We start by reviewing several iterative decoding algorithms that involve a decision-making process at each step, including…

Information Theory · Computer Science 2019-12-10 Fabrizio Carpi , Christian Häger , Marco Martalò , Riccardo Raheli , Henry D. Pfister

We propose a general method for semantic representation of images and other data using progressive coding. Semantic coding allows for specific pieces of information to be selectively encoded into a set of measurements that can be highly…

Signal Processing · Electrical Eng. & Systems 2023-09-29 Eva Riherd , Raghu Mudumbai , Weiyu Xu

In this paper, we propose a methodology to compute the optimal finite-length coding rate for random linear network coding schemes over a line network. To do so, we first model the encoding, reencoding, and decoding process of different…

Networking and Internet Architecture · Computer Science 2018-05-16 Tan Do-Duy , M. Ángeles Vázquez-Castro

Practically good error-correcting codes should have good parameters and efficient decoding algorithms. Some algebraically defined good codes such as cyclic codes, Reed-Solomon codes, and Reed-Muller codes have nice decoding algorithms.…

Information Theory · Computer Science 2019-11-19 Lucky Galvez , Jon-Lark Kim

In this paper, we analyze the coding delay and the average coding delay of random linear network codes (a.k.a. dense codes) and chunked codes (CC), which are an attractive alternative to dense codes due to their lower complexity, over line…

Information Theory · Computer Science 2012-07-26 Anoosheh Heidarzadeh , Amir H. Banihashemi

For a packet erasure broadcast channel with three receivers, we propose a new coding algorithm that makes use of feedback to dynamically adapt the code. Our algorithm is throughput optimal, and we conjecture that it also achieves an…

Information Theory · Computer Science 2008-09-29 Jay Kumar Sundararajan , Devavrat Shah , Muriel Médard

Practical random network coding based schemes for multicast include a header in each packet that records the transformation between the sources and the terminal. The header introduces an overhead that can be significant in certain…

Information Theory · Computer Science 2010-06-03 Shizheng Li , Aditya Ramamoorthy

We consider lossy source compression of a binary symmetric source using polar codes and the low-complexity successive encoding algorithm. It was recently shown by Arikan that polar codes achieve the capacity of arbitrary symmetric…

Information Theory · Computer Science 2009-03-03 Satish Babu Korada , Rudiger Urbanke

We consider communication over a noisy network under randomized linear network coding. Possible error mechanism include node- or link- failures, Byzantine behavior of nodes, or an over-estimate of the network min-cut. Building on the work…

Information Theory · Computer Science 2007-11-27 Andrea Montanari , Ruediger Urbanke

We consider a transmitter that encodes data packets using network coding and broadcasts coded packets. A receiver employing network decoding recovers the data packets if a sufficient number of error-free coded packets are gathered. The…

Information Theory · Computer Science 2024-02-13 Ioannis Chatzigeorgiou , Dmitry Savostyanov

We introduce a novel algorithm for decoding binary linear codes by linear programming. We build on the LP decoding algorithm of Feldman et al. and introduce a post-processing step that solves a second linear program that reweights the…

Information Theory · Computer Science 2011-03-16 Amin Khajehnejad , Alexandros G. Dimakis , Babak Hassibi , Benjamin Vigoda , William Bradley

The class of joint decoder of probabilistic fingerprinting codes is of utmost importance in theoretical papers to establish the concept of fingerprint capacity. However, no implementation supporting a large user base is known to date. This…

Information Theory · Computer Science 2023-07-26 Peter Meerwald , Teddy Furon

The problem of blind identification of channel codes at a receiver involves identifying a code chosen by a transmitter from a known code-family, by observing the transmitted codewords through the channel. Most existing approaches for…

Information Theory · Computer Science 2026-03-04 Pramod Singh , Prasad Krishnan , Arti Yardi

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