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    • Division of Electrical, Electronics, and Computer Science (EECS)
    • Electrical Communication Engineering (ECE)
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    Insights into Network Coding Using Tools From Linear Algebra and Matroid Theory

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    Thesis full text (2.010Mb)
    Author
    Ambadi, Niranjana
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    Abstract
    Traditionally, the transmission of information through a network was carried out using store-and-forward techniques. This entails managing information bits in a network analogous to commodity flow, without mixing or combining them. Network Coding is the paradigm of information flow where coding at the intermediate nodes could achieve a network capacity that surpassed what could be achieved by routing. Index Coding can be perceived as a degenerate case of network coding where the network has a single link of finite capacity and all other infinite capacity links. The thesis addresses these topics under different sub-heads as follows: • Binary multicast networks and their solvability over higher finite fields • Minrank of unicast-uniprior index coding problems • Scalar Linear Codes for neighboring interference problem • Optimized Instantly Decodable Network Codes • The number of optimal index codes
    URI
    https://etd.iisc.ac.in/handle/2005/4513
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    • Electrical Communication Engineering (ECE) [402]

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