Browsing by Subject "coding theory"
Now showing items 1-8 of 8
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(2012-07-16)This dissertation considers several coding techniques based on Reed-Solomon (RS) and low-density parity-check (LDPC) codes. These two prominent families of error-correcting codes have attracted a great amount of interest ...
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(2014-04-29)The evolution of data storage technologies has been extraordinary. Hard disk drives that fit in current personal computers have the capacity that requires tons of transistors to achieve in 1970s. Today, we are at the ...
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(2020-10-13)This dissertation leverages the connection between coding theory and classical sparse recovery problems like sparse Fourier and Hadamard transform computations to understand properties of existing recovery algorithms under ...
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(2009-05-15)In 1998, J. P. Hansen introduced the construction of an error-correcting code over a finite field Fq from a convex integral polytope in R2. Given a polytope P ⊂ R2, there is an associated toric variety XP , and Hansen used ...
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(2015-11-30)In this thesis, we produce our work on two of the state-of-the-art techniques in modern coding theory: polar codes and spatially-coupled LDPC codes. Polar codes were introduced in 2009 and proven to achieve the symmetric ...
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(2017-05-05)The wireless landscape is shifting to include more networks with massive numbers of unattended devices, seeking to distribute their information sporadically. This paradigm shift has spawned a lot of interest in the adaptation ...
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(Texas A&M University, 2008-10-10)It is conjectured that quantum computers are able to solve certain problems more quickly than any deterministic or probabilistic computer. For instance, Shor's algorithm is able to factor large integers in polynomial ...
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(2015-09-28)Storage systems are experiencing a historical paradigm shift from hard disk to nonvolatile memories due to its advantages such as higher density, smaller size and non-volatility. On the other hand, Solid Storage Disk (SSD) ...