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In index coding, a server broadcasts multiple messages to their respective receivers, each with some side information that can be utilized to reduce the amount of communication from the server. Distributed index coding is an extension of…

Information Theory · Computer Science 2020-04-07 Yucheng Liu , Parastoo Sadeghi , Fatemeh Arbabjolfaei , Young-Han Kim

Linear Complementary Dual codes (LCD) are binary linear codes that meet their dual trivially. We construct LCD codes using orthogonal matrices, self-dual codes, combinatorial designs and Gray map from codes over the family of rings $R_k$.…

Information Theory · Computer Science 2015-06-08 Steven T. Dougherty , Jon-Lark Kim , Buket Ozkaya , Lin Sok , Patrick Solé

This letter investigates the role of index coding in the capacity of AWGN broadcast channels with receiver message side information. We first show that index coding is unnecessary where there are two receivers; multiplexing coding and…

Information Theory · Computer Science 2014-04-29 Behzad Asadi , Lawrence Ong , Sarah J. Johnson

The maximum size of a binary code is studied as a function of its length N, minimum distance D, and minimum codeword weight W. This function B(N,D,W) is first characterized in terms of its exponential growth rate in the limit as N tends to…

Information Theory · Computer Science 2010-09-21 Christine Bachoc , Venkat Chandar , Gerard Cohen , Patrick Sole , Aslan Tchamkerten

A key challenge for a common waveform for Integrated Sensing and Communications (ISAC) - widely seen as an attractive proposition to achieve high performance for both functionalities, while efficiently utilizing available resources -- lies…

Information Theory · Computer Science 2022-09-12 Sundar Aditya , Onur Dizdar , Bruno Clerckx , Xueru Li

This letter investigates a new class of index coding problems. One sender broadcasts packets to multiple users, each desiring a subset, by exploiting prior knowledge of linear combinations of packets. We refer to this class of problems as…

Information Theory · Computer Science 2016-11-18 Namyoon Lee , Alexandros G. Dimakis , Robert W. Heath

This paper studies the secrecy results for the two-way wiretap channel (TW-WC) with an external eavesdropper under a strong secrecy metric. Employing non-adaptive coding, we analyze the information leakage and the decoding error…

Information Theory · Computer Science 2024-09-10 Masahito Hayashi , Yanling Chen

In this paper we present regular bilayer LDPC convolutional codes for half-duplex relay channels. For the binary erasure relay channel, we prove that the proposed code construction achieves the capacities for the source-relay link and the…

Information Theory · Computer Science 2011-02-28 Zhongwei Si , Ragnar Thobaben , Mikael Skoglund

Constant dimension codes (CDCs) have become an important object in coding theory due to their application in random network coding. The multilevel construction is one of the most effective ways to construct constant dimension codes. The…

Information Theory · Computer Science 2025-11-03 Dengming Xu , Mengmeng LI

The model of identification via channels, introduced by Ahlswede and Dueck, has attracted increasing attention in recent years. One such promising direction is message identification via channels, introduced by Ahlswede and Dueck. Unlike in…

Information Theory · Computer Science 2024-10-01 Larissa Brüche , Marcel A. Mross , Yaning Zhao , Wafa Labidi , Christian Deppe , Eduard A. Jorswieck

This paper addresses the problem of reducing the delivery time of data messages to cellular users using instantly decodable network coding (IDNC) with physical-layer rate awareness. While most of the existing literature on IDNC does not…

Information Theory · Computer Science 2015-07-29 Ahmed Douik , Sameh Sorour , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

An index coding (IC) problem consisting of a server and multiple receivers with different side-information and demand sets can be equivalently represented using a fitting matrix. A scalar linear index code to a given IC problem is a matrix…

Information Theory · Computer Science 2017-04-04 Vamsi Krishna Gummadi , Ashok Choudhary , Prasad Krishnan

This paper introduces a new approach to proving that a sequence of deterministic linear codes achieves capacity on an erasure channel under maximum a posteriori decoding. Rather than relying on the precise structure of the codes, this…

Information Theory · Computer Science 2015-06-16 Santhosh Kumar , Henry D. Pfister

International Classification of Disease (ICD) coding procedure which refers to tagging medical notes with diagnosis codes has been shown to be effective and crucial to the billing system in medical sector. Currently, ICD codes are assigned…

Computation and Language · Computer Science 2021-04-22 Biplob Biswas , Thai-Hoang Pham , Ping Zhang

Polar codes are the first class of constructive channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels. But the analysis and construction of polar codes involve the complex iterative-calculation. In…

Information Theory · Computer Science 2019-11-26 Kai Niu , Yan Li , Weiling Wu

Binary constant-weight codes have been extensively studied, due to both their numerous applications and to their theoretical significance. In particular, constant-weight codes have been proposed for error correction in store and forward. In…

Information Theory · Computer Science 2017-09-12 Maximilien Gadouleau

All codes with minimum distance 8 and codimension up to 14 and all codes with minimum distance 10 and codimension up to 18 are classified. Nonexistence of codes with parameters [33,18,8] and [33,14,10] is proved. This leads to 8 new exact…

Information Theory · Computer Science 2016-11-18 Iliya Bouyukliev , Erik Jakobsson

This paper studies adaptive coding for the two-way wiretap channel. Especially, the strong secrecy metric is of our interest that is defined by the information leakage of transmitted messages to the eavesdropper. First, we consider an…

Information Theory · Computer Science 2024-06-25 Yanling Chen , Masahito Hayashi

An index coding scheme in which the source (transmitter) transmits binary symbols over a wireless fading channel is considered. Index codes with the transmitter using minimum number of transmissions are known as optimal index codes.…

Information Theory · Computer Science 2015-04-14 Anoop Thomas , Kavitha R. , Chandramouli A. , B. Sundar Rajan

Binary local features represent an effective alternative to real-valued descriptors, leading to comparable results for many visual analysis tasks, while being characterized by significantly lower computational complexity and memory…