New upper bounds prove that for symmetric distributions, (c1 n, 0)-wise indistinguishability implies the c2 n-wise marginals are exponentially close in statistical distance for any constants c1 < c2.
and Thaler, Justin and Williamson, Christopher , title =
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Upper Bounds for Symmetric Approximate Bounded Indistinguishability
New upper bounds prove that for symmetric distributions, (c1 n, 0)-wise indistinguishability implies the c2 n-wise marginals are exponentially close in statistical distance for any constants c1 < c2.