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Homological Error Correcting Codes and Systolic Geometry
[article]
2011
arXiv
pre-print
Preserved Fulltext
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.
arXiv:1108.2886v1
fatcat:wbxkxximtre2jisbijhtdppkla