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Showing 1 to 2 of 2 for “"algebraic geometric codes"”.
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Algebraic geometric codes over rings
The techniques of algebraic geometry have been widely and successfully applied to the study of linear codes over finite fields since the early 1980's. Recently, there has been an increased interest in the study of linear codes over finite rings. In this thesis, we combine these two approaches to …
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Improved Bounds for Codes and Secret Sharing Schemes from Algebraic Curves
The main goal of this work is to improve algebraic geometric/number theoretic constructions of error-correcting codes and secret sharing schemes. For both objects we define parameters that indicate their effectiveness in applications. We explore infeasibility bounds, showing that objects with …