Challenge codes for physically unclonable functions with gaussian delays: A maximum entropy problem

Alexander Schaub; Olivier Rioul; Jean Luc Danger; Sylvain Guilley; Joseph Boutros

doi:10.3934/amc.2020060

Challenge codes for physically unclonable functions with gaussian delays: A maximum entropy problem

Alexander Schaub
, Olivier Rioul
, Jean Luc Danger
, Sylvain Guilley
, Joseph Boutros

Institut Polytechnique de Paris
Secure-IC SAS
Texas A&M University at Qatar

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

2 Citations (Scopus)

Résumé

Motivated by a security application on physically unclonable functions, we evaluate the probability distributions and Rényi entropies of signs of scalar products of i.i.d. Gaussian random variables against binary codewords in {±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 entropies up to n = 10.

langue originale	Anglais
Pages (de - à)	491-505
Nombre de pages	15
journal	Advances in Mathematics of Communications
Volume	14
Numéro de publication	3
Les DOIs	https://doi.org/10.3934/amc.2020060
état	Publié - 1 août 2020

Accès au document

10.3934/amc.2020060

Contient cette citation

@article{d6ed0f934ecf405c94eec9adeb59d6d4,

title = "Challenge codes for physically unclonable functions with gaussian delays: A maximum entropy problem",

abstract = "Motivated by a security application on physically unclonable functions, we evaluate the probability distributions and R{\'e}nyi entropies of signs of scalar products of i.i.d. Gaussian random variables against binary codewords in \{±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 entropies up to n = 10.",

keywords = "Boolean threshold functions, Entropy, Multivariate Gaussian distribution",

author = "Alexander Schaub and Olivier Rioul and Danger, \{Jean Luc\} and Sylvain Guilley and Joseph Boutros",

year = "2020",

month = aug,

day = "1",

doi = "10.3934/amc.2020060",

language = "English",

volume = "14",

pages = "491--505",

journal = "Advances in Mathematics of Communications",

issn = "1930-5346",

publisher = "American Institute of Mathematical Sciences",

number = "3",

}

TY - JOUR

T1 - Challenge codes for physically unclonable functions with gaussian delays

T2 - A maximum entropy problem

AU - Schaub, Alexander

AU - Rioul, Olivier

AU - Danger, Jean Luc

AU - Guilley, Sylvain

AU - Boutros, Joseph

PY - 2020/8/1

Y1 - 2020/8/1

N2 - Motivated by a security application on physically unclonable functions, we evaluate the probability distributions and Rényi entropies of signs of scalar products of i.i.d. Gaussian random variables against binary codewords in {±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 entropies up to n = 10.

AB - Motivated by a security application on physically unclonable functions, we evaluate the probability distributions and Rényi entropies of signs of scalar products of i.i.d. Gaussian random variables against binary codewords in {±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 entropies up to n = 10.

KW - Boolean threshold functions

KW - Entropy

KW - Multivariate Gaussian distribution

U2 - 10.3934/amc.2020060

DO - 10.3934/amc.2020060

M3 - Article

AN - SCOPUS:85088052201

SN - 1930-5346

VL - 14

SP - 491

EP - 505

JO - Advances in Mathematics of Communications

JF - Advances in Mathematics of Communications

IS - 3

ER -

Challenge codes for physically unclonable functions with gaussian delays: A maximum entropy problem

Résumé

Accès au document

Empreinte digitale

Contient cette citation