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cs.CC2024
Pseudorandomness, symmetry, smoothing: II
Harm Derksen, Peter Ivanov, Chin Ho Lee +1
We prove several new results on the Hamming weight of bounded uniform and small-bias distributions. We exhibit bounded-uniform distributions whose weight is anti-concentrated, matc…
cs.CC2024
Resilient functions: Optimized, simplified, and generalized
Peter Ivanov, Emanuele Viola
An -bit boolean function is resilient to coalitions of size if any fixed set of bits is unlikely to influence the function when the other bits are chosen uniformly…
cs.CC2024
Pseudorandomness, symmetry, smoothing: I
Harm Derksen, Peter Ivanov, Chin Ho Lee +1
We prove several new results about bounded uniform and small-bias distributions. A main message is that, small-bias, even perturbed with noise, does not fool several classes of tes…