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A physically unclonable function (PUF) is an electronic circuit that produces an intrinsic identifier in response to a challenge. These identifiers depend on uncontrollable variations of the manufacturing process, which make them hard to…

Information Theory · Computer Science 2019-07-15 Alexander Schaub , Olivier Rioul , Joseph , Joseph J. Boutros

A Physical unclonable functions (PUF), alike a fingerprint, exploits manufacturing randomness to endow each physical item with a unique identifier. One primary PUF application is the secure derivation of volatile cryptographic keys using a…

Cryptography and Security · Computer Science 2018-11-21 Yansong Gao , Yang Su , Lei Xu , Damith C. Ranasinghe

A novel, non-trivial, probabilistic upper bound on the entropy of an unknown one-dimensional distribution, given the support of the distribution and a sample from that distribution, is presented. No knowledge beyond the support of the…

Information Theory · Computer Science 2007-07-13 Joseph DeStefano , Erik Learned-Miller

A Physically Unclonable Function (PUF) is a hardware security primitive used for authentication and key generation. It takes an input bit-vector challenge and produces a single-bit response, resulting in a challenge-response pair (CRP). The…

Cryptography and Security · Computer Science 2024-07-01 Vincent Dumoulin , Wenjing Rao , Natasha Devroye

Computing the partition function and the marginals of a global probability distribution are two important issues in any probabilistic inference problem. In a previous work, we presented sub-tree based upper and lower bounds on the partition…

Applications · Statistics 2011-03-03 Mehdi Molkaraie , Payam Pakzad

We address security and privacy problems for digital devices and biometrics from an information-theoretic optimality perspective, where a secret key is generated for authentication, identification, message encryption/decryption, or secure…

Signal Processing · Electrical Eng. & Systems 2021-01-11 Onur Günlü , Rafael F. Schaefer

Post-processing of the raw bits produced by a true random number generator (TRNG) is always necessary when the entropy per bit is insufficient for security applications. In this paper, we derive a tight bound on the output min-entropy of…

Cryptography and Security · Computer Science 2024-06-25 Miloš Grujić , Ingrid Verbauwhede

Physical Unclonable Functions evaluate manufacturing variations to generate secure cryptographic keys for embedded systems without secure key storage. It is explained how methods from coding theory are applied in order to ensure reliable…

Information Theory · Computer Science 2015-01-28 Sven Puchinger , Sven Müelich , Martin Bossert , Matthias Hiller , Georg Sigl

In this paper, we present a simple technique to approximate the performance union bound of a punctured turbo code. The bound approximation exploits only those terms of the transfer function that have a major impact on the overall…

Information Theory · Computer Science 2022-03-08 Ioannis Chatzigeorgiou , Miguel R. D. Rodrigues , Ian J. Wassell , Rolando Carrasco

This paper introduces a numerical framework for establishing lower bounds on the conditional von-Neumann entropy in device-independent quantum cryptography and randomness extraction scenarios. Leveraging a hierarchy of semidefinite programs…

Quantum Physics · Physics 2025-08-22 Gereon Koßmann , René Schwonnek

Entropy or randomness represents a foundational security property in security-related operations, such as key generation. Key generation in turn is central to security protocols such as authentication and encryption. Physical unclonable…

Cryptography and Security · Computer Science 2024-08-14 Jenilee Jao , Kristi Hoffman , Cheryl Reid , Ryan Thomson , Michael Thompson , Jim Plusquellic

Min-entropy sampling gives a bound on the min-entropy of a randomly chosen subset of a string, given a bound on the min-entropy of the whole string. K\"onig and Renner showed a min-entropy sampling theorem that holds relative to quantum…

Quantum Physics · Physics 2011-07-18 Jürg Wullschleger

It is shown that a class of optical physical unclonable functions (PUFs) can be learned to arbitrary precision with arbitrarily high probability, even in the presence of noise, given access to polynomially many challenge-response pairs and…

Machine Learning · Computer Science 2023-09-08 Apollo Albright , Boris Gelfand , Michael Dixon

The paper extends the widely used in optimisation theory decoupling techniques to infinite collections of functions. Extended concepts of uniform lower semicontinuity and firm uniform lower semicontinuity are discussed. The main theorems…

Optimization and Control · Mathematics 2025-06-23 Abderrahim Hantoute , Alexander Y. Kruger , Marco A. Lopez

For a system described by a multivariate probability density function obeying the fluctuation theorem, the average dissipation is lower-bounded by the degree of asymmetry of the marginal distributions (namely the relative entropy between…

Statistical Mechanics · Physics 2021-08-18 Michele Campisi , Lorenzo Buffoni

We locate the relevant degrees of freedom for the entanglement entropy on some 2+1 fuzzy models. It is found that the entropy is stored in the near boundary degrees of freedom. We give a simple analytical derivation for the area law using…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Djamel Dou

We consider the problem of coding for computing with maximal distortion, where the sender communicates with a receiver, which has its own private data and wants to compute a function of their combined data with some fidelity constraint…

Information Theory · Computer Science 2019-10-21 Sourya Basu , Daewon Seo , Lav R. Varshney

During the last years, Physically Unclonable Functions (PUFs) have become a very important research area in the field of hardware security due to their capability of generating volatile secret keys as well as providing a low-cost…

Cryptography and Security · Computer Science 2024-02-15 M. Garcia-Bosque , G. Díez-Señorans , C. Sánchez-Azqueta , S. Celma

Let X_1, ..., X_n be a sequence of n classical random variables and consider a sample of r positions selected at random. Then, except with (exponentially in r) small probability, the min-entropy of the sample is not smaller than, roughly, a…

Quantum Physics · Physics 2012-06-04 Robert Koenig , Renato Renner

We put forth a new computational notion of entropy, measuring the (in)feasibility of sampling high-entropy strings that are consistent with a given generator. Specifically, the i'th output block of a generator G has accessible entropy at…

Cryptography and Security · Computer Science 2021-08-24 Iftach Haitner , Omer Reingold , Salil Vadhan , Hoeteck Wee
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