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Foundations and Trends® in Communications and Information Theory, 2018 Index coding is a canonical problem in network information theory that studies the fundamental limit and optimal coding schemes for broadcasting multiple messages to receivers with different side information. The index coding problem provides a simple yet rich model for several important engineering tasks such as satellite communication, content ...
Fatemeh Arbabjolfaei, Young-Han Kim 0001
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Index Coding—An Interference Alignment Perspective [PDF]
IEEE Transactions on Information Theory, 2014 The index coding problem is studied from an interference alignment perspective providing new results as well as new insights into, and generalizations of, previously known results.
Viveck R Cadambe, Syed A Jafar
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A Code and Rate Equivalence Between Secure Network and Index Coding
IEEE Journal on Selected Areas in Information Theory, 2021 Establishing code equivalences between index coding and network coding provides important insights for code design. Previous works showed an equivalence relation between any index-coding instance and a network-coding instance, for which a code for one ...
, Badri N Vellambi, Jörg Kliewer
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On Toeplitz codes of index t and isometry codes
Discrete Mathematics, 2023A square matrix is called Toeplitz, when it is in the following form: \[ A=\begin{pmatrix} a & a_1 & a_2 & \cdots & a_{n-2} & a_{n-1} \\ b_1 & a & a_1 & \ddots & \ddots & a_{n-2} \\ b_2 & b_1 & a & \ddots & \ddots & \vdots \\ \vdots & \ddots & \ddots& \ddots & \ddots & a_2 \\ b_{n-2} & \ddots & \ddots & \ddots & a & a_1 \\ b_{n-1} & b_{n-2} & \cdots ...
Shitao Li, Minjia Shi, Huizhou Liu
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Simplified Composite Coding for Index Coding
2018 IEEE International Symposium on Information Theory (ISIT), 2018Simplification methods are introduced for composite coding, which is an existing layered random coding technique for the index coding problem. As the problem size grows, the original number of composite indices grows exponentially and the number of possible decoding configurations (decoding sets) grows super exponentially, leading to considerably high ...
Yucheng Liu 0005 +3 more
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2012 IEEE Global Communications Conference (GLOBECOM), 2012
We explore degrees of freedom (DoF) characterizations of partially connected wireless networks, especially cellular networks, with no channel state information at the transmitters (no CSIT), and show that the problem is intimately connected to the index coding problem typically considered in network coding literature, albeit with significant additional
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We explore degrees of freedom (DoF) characterizations of partially connected wireless networks, especially cellular networks, with no channel state information at the transmitters (no CSIT), and show that the problem is intimately connected to the index coding problem typically considered in network coding literature, albeit with significant additional
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Optimal Error Correcting Index Codes for Some Generalized Index Coding Problems
IEEE Transactions on Communications, 2019 The index coding with side-information problem introduced by Birk and Kol has been generalized to the case, where the transmissions are subjected to errors by Dau et al.. Lower and upper bounds on the optimal number of transmissions required to correct a
Nujoom Sageer Karat, B Sundar Rajan
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Error Correction for Index Coding With Side Information
IEEE Transactions on Information Theory, 2013 A problem of index coding with side information was first considered by Birk and Kol in 1998. In this study, a generalization of index coding scheme, where transmitted symbols are subject to errors, is studied. Error-correcting methods for such a scheme,
Son Hoang Dau +2 more
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Bipartite Index coding Protocol
2014 7th Advanced Satellite Multimedia Systems Conference and the 13th Signal Processing for Space Communications Workshop (ASMS/SPSC), 2014In literature, the capacity of the Broadcast Packet Erasure Channel (BPEC) with feedback was derived and protocols were proposed. Out of these protocols, only few can be put in practice, because of their limitations. Mainly, these techniques impose impractical feedback assumption, which requests the feedback to be at the end of each time-slot.
Muhammad, Muhammad, schwarz, stefanie
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Lossless Vector-Quantised Index Coding with Index-Pattern Coding Scheme
2013 Conference on Technologies and Applications of Artificial Intelligence, 2013In this paper, an efficient new on-line lossless compression algorithm is presented to encode image VQ. The proposed coding technique exploits the correlation of neighboring index-pairs not in the original vector-quantized index map but in the principal index-pattern table which is generated from the two dimensional histogram of index-patterns in the ...
Yung-Chih Liu +3 more
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