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Codes With Locality For Distributed Data Storage
(2017-07-26)
This thesis deals with the problem of code design in the setting of distributed storage systems consisting of multiple storage nodes, storing many different data les. A primary goal in such systems is the efficient repair ...
Coding Schemes For Distributed Subspace Computation, Distributed Storage And Local Correctability
(2017-07-24)
In this thesis, three problems have been considered and new coding schemes have been devised for each of them. The first is related to distributed function computation, the second to coding for distributed storage and the ...
Classical Binary Codes And Subspace Codes in a Lattice Framework
(2017-10-10)
The classical binary error correcting codes, and subspace codes for error correction in random network coding are two different forms of error control coding. We identify common features between these two forms and study ...
Fundamentals Limits Of Communication In Interference Limited Environments
(2017-08-21)
In multiuser wireless communications, interference not only limits the performance of the system, but also allows users to eavesdrop on other users’ messages. Hence, interference management in multiuser wireless communication ...
Minimization Problems Based On A Parametric Family Of Relative Entropies
(2017-08-21)
We study minimization problems with respect to a one-parameter family of generalized relative entropies. These relative entropies, which we call relative -entropies (denoted I (P; Q)), arise as redundancies under mismatched ...