Homological Error Correcting Codes and Systolic Geometry

Details Homological Error Correcting Codes and Systolic Geometry Homological Error Correcting Codes and Systolic Geometry

2011-08-14

arxiv.org/abs/1108.2886v1

Mathematics

Differential Geometry

Scientific paper

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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