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A weight-distribution bound for entropy extractors using linear binary codes (1405.2820v1)
Published 12 May 2014 in cs.IT, math.IT, and math.PR
Abstract: We consider a bound on the bias reduction of a random number generator by processing based on binary linear codes. We introduce a new bound on the total variation distance of the processed output based on the weight distribution of the code generated by the chosen binary matrix. Starting from this result we show a lower bound for the entropy rate of the output of linear binary extractors.