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The Points of Two Curves from the Hermitian Tower
Mancinelli, Alexander James
O'Sullivan, Michael EHui, StefenSadler, Melody
Codes obtained from algebraic curves are a particular type of error-correcting code studied by mathematicians and coding theorists. In this thesis I investigate a specific aspect of codes obtained from algebraic curves called the location set. The location set is needed to generate a code from a specific algebraic curve and is sometimes non-trivial. The primary result of this thesis is a description of the location sets for two curves corresponding to the tower of function fields introduced by A. Garcia and H. Stichtenoth. The codes generated from these curves are of interest since they are known to have good parameters.
Mathematics and Statistics
Master of Arts (M.A.) San Diego State University, 2013
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