A deterministic extractor for an elliptic curve is a function that converts a random point on the curve to a random-looking bit-string, which is statistically close to a uniformly random bit-string. The problem of converting random points of an elliptic curve into random bits has several cryptographic applications. In this talk, we propose two simple and efficient deterministic extractors for a...

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A recent Ontario arbitral award is reshaping the way employers and employees must approach the legal duty to accommodate employees with disabilities in the workplace. Entrenched in both federal and provincial human rights legislation, the duty to accommodate imposes a legal obligation on employers to accommodate employees with disabilities unless such accommodation would cause undue hardship on...

We analyze the distribution of ∑ m i=1 vixi where x1, . . . ,xm are fixed vectors from some lattice L ⊂ R (say Z) and v1, . . . , vm are chosen independently from a discrete Gaussian distribution over Z. We show that under a natural constraint on x1, . . . ,xm, if the vi are chosen from a wide enough Gaussian, the sum is statistically close to a discrete Gaussian over L. We also analyze the cas...

We propose two simple and efficient deterministic extractors for J(Fq), the Jacobian of a genus 2 hyperelliptic curve H defined over Fq, for some odd q. Our first extractor, SEJ, called sum extractor, for a given point D on J(Fq), outputs the sum of abscissas of rational points on H in the support of D, considering D as a reduced divisor. Similarly the second extractor, PEJ, called product extr...

Given two distributions over an n element set, we wish to check whether these distributions are statistically close by only sampling. We give a sublinear algorithm which uses O(n2/3ǫ−4 logn) independent samples from each distribution, runs in time linear in the sample size, makes no assumptions about the structure of the distributions, and distinguishes the cases when the distance between the d...

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