On Uniform Reductions between Direct Product and XOR Lemmas

There is a close connection between Direct Product and XOR lemmas in the sense that in many settings, we can prove one given the other. The known reductions that are used for the above purpose are either in the non-uniform setting or give non-matching parameters. By non-matching parameter we mean that k-wise Direct Product lemma implies k′-wise XOR lemma… CONTINUE READING