Oded Goldreich, Avi Wigderson

We present three explicit constructions of hash functions,

which exhibit a trade-off between the size of the family

(and hence the number of random bits needed to generate a member of the family),

and the quality (or error parameter) of the pseudo-random property it

achieves. Unlike previous constructions, ...
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Noga Alon, Oded Goldreich, Yishay Mansour

We say that a distribution over $\{0,1\}^n$

is almost $k$-wise independent

if its restriction to every $k$ coordinates results in a

distribution that is close to the uniform distribution.

A natural question regarding almost $k$-wise independent

distributions is how close they are to some $k$-wise

independent distribution. We show ...
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