Challenge Codes for Physically Unclonable Functions with Gaussian Delays: A Maximum Entropy Problem
Résumé
In this paper, motivated by a security application on physically unclonable functions, we evaluate the distributions and Rényi entropies of signs of scalar products of i.i.d. Gaussian random variables against binary codewords 2 {±1} n. The exact distributions are determined for small values of n and upper bounds are provided by linking this problem to the study of Boolean threshold functions. Finally, Monte-Carlo simulations are used to approximate the distribution up to n = 10.
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