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Jul 24, 2018 at 12:29 comment added András Salamon For the revised question, note that if the elements of a set are in the range $0$ to $2^{64}-1$, then the set size can be up to $2^{64}$ elements, so for set sizes that are greater than $2^{64}/64$, sending the characteristic vector is more efficient. As Yuval Filmus points out, the setup requires using worst-case analysis.
Jul 24, 2018 at 9:59 comment added Cryptonaut Sorry. I fixed my description of the disjointness problem.
Jul 24, 2018 at 9:59 history edited Cryptonaut CC BY-SA 4.0
fixed my description of disjointness
Jul 24, 2018 at 7:34 comment added D.W. As Yuval Filmus points out in his answer, your definition of $\text{Dis}$ is not the set disjointness problem. Perhaps you meant $1$ if $\exists i : a_i=b_i=1$; 0 otherwise.
Jul 24, 2018 at 6:36 answer added Yuval Filmus timeline score: 1
Jul 24, 2018 at 1:10 answer added D.W. timeline score: 1
Jul 24, 2018 at 0:13 history asked Cryptonaut CC BY-SA 4.0