Abstract:The study of locally testable codes (LTCs) has benefited from a number of nontrivial constructions discovered in recent years. Yet, we still lack a good understanding of what makes a linear error correcting code locally testable and as a result we do not know what is the rate-limit of LTCs and whether asymptotically good linear LTCs with constant query complexity exist.In this paper, we provide a combinatorial characterization of smooth locally testable codes, which are locally testable codes whose associated … Show more
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