Locally testable code: Difference between revisions

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== Limits ==
It remains an open question whether there are any locally testable codes of linear size, but there are several constructions that are considered "nearly linear":<ref name=shortLTC>{{cite web|url=http://eccc.hpi-web.de/eccc-reports/2005/TR05-014/index.html|title=Short Locally Testable Codes and Proofs (Survey)|first=Oded|last=Goldreich|idciteseerx = {{citeseerx|10.1.1.110.2530}}}}</ref>
 
# Polynomial arbitrarily close to linear; for any <math>\epsilon>0</math>, <math>n=k^{1+\epsilon}</math>.