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arXiv · 1108.2886

Homological Error Correcting Codes and Systolic Geometry

Ethan Fetaya
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Abstract

In my masters thesis I prove a square root bound on the distance of homological codes that come from two dimensional surfaces, as a result of the systolic inequality. I also give a detailed version of M.H. Freedman's proof that due to systolic freedom, this bound does not hold in higher dimensions.

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Ethan Fetaya. 2011-08-14. Homological Error Correcting Codes and Systolic Geometry. https://arxiv.org/abs/1108.2886

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