Abstract--Informally, an error-correcting code has "nice" listdecodability properties if every Hamming ball of "large" radius has a "small" number of ...
We show that Yao’s XOR Lemma, and its essentially equivalent rephrasing as a Direct Product Lemma, can be re-interpreted as a way of obtaining error-correcting codes with good l...
We design the first efficient algorithms and prove new combinatorial bounds for list decoding tensor products of codes and interleaved codes. ? We show that for every code, the rat...
We introduce a unifying framework for proving that predicate P is hard-core for a one-way function f, and apply it to a broad family of functions and predicates, reproving old res...
We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...