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Simple Constructions of Almost k-wise Independent Random Variables
1992
Random structures & algorithms (Print)
Oded Goldreicht We present three alternative simple constructions of small probability spaces on n bits for which any k bits are almost independent. The number of bits used to specify a point in the sample space is O(loglogn+k+log $), where c is the statistical difference between of the distribution induced on any k bit locations and the uniform distribution. This is asymptotically comparable to the construction recently presented by Naor and Naor (our constant is better as long as E < 2k/n).
doi:10.1002/rsa.3240030308
fatcat:qoi76lbbefbhdfcslprogdg6ry