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A pseudorandom code is a keyed error-correction scheme with the property that any polynomial number of encodings appear random to any computationally bounded adversary. We show that the pseudorandomness of any code tolerating a constant…

Cryptography and Security · Computer Science 2025-10-01 Sanjam Garg , Sam Gunn , Mingyuan Wang

We take a critical look at the relationship between the security of cryptographic schemes in the Random Oracle Model, and the security of the schemes that result from implementing the random oracle by so called "cryptographic hash…

Cryptography and Security · Computer Science 2007-05-23 Ran Canetti , Oded Goldreich , Shai Halevi

The secure instantiation of the random oracle is one of the major open problems in modern cryptography. We investigate this problem using concepts and methods of algorithmic randomness. In modern cryptography, the random oracle model is…

Cryptography and Security · Computer Science 2019-09-04 Kohtaro Tadaki , Norihisa Doi

In his seminal work on recording quantum queries [Crypto 2019], Zhandry studied interactions between quantum query algorithms and the quantum oracle corresponding to random functions. Zhandry presented a framework for interpreting various…

Quantum Physics · Physics 2022-01-21 Ansis Rosmanis

The interest in post-quantum cryptography - classical systems that remain secure in the presence of a quantum adversary - has generated elegant proposals for new cryptosystems. Some of these systems are set in the random oracle model and…

Quantum Physics · Physics 2022-07-05 Dan Boneh , Özgür Dagdelen , Marc Fischlin , Anja Lehmann , Christian Schaffner , Mark Zhandry

The analysis of quantum algorithms which query random, invertible permutations has been a long-standing challenge in cryptography. Many techniques which apply to random oracles fail, or are not known to generalize to this setting. As a…

Quantum Physics · Physics 2025-09-24 Joseph Carolan

We consider a generalization of the standard oracle model in which the oracle acts on the target with a permutation selected according to internal random coins. We describe several problems that are impossible to solve classically but can…

Quantum Physics · Physics 2013-10-09 Aram W. Harrow , David J. Rosenbaum

In the permutation inversion problem, the task is to find the preimage of some challenge value, given oracle access to the permutation. This is a fundamental problem in query complexity, and appears in many contexts, particularly…

Quantum Physics · Physics 2024-04-23 Gorjan Alagic , Chen Bai , Alexander Poremba , Kaiyan Shi

We show the following hold, unconditionally unless otherwise stated, relative to a random oracle: - There are NP search problems solvable by quantum polynomial-time machines but not classical probabilistic polynomial-time machines. - There…

Quantum Physics · Physics 2024-11-12 Takashi Yamakawa , Mark Zhandry

The ability to deploy neural networks in real-world, safety-critical systems is severely limited by the presence of adversarial examples: slightly perturbed inputs that are misclassified by the network. In recent years, several techniques…

Machine Learning · Computer Science 2018-02-21 Nicholas Carlini , Guy Katz , Clark Barrett , David L. Dill

Cryptographic primitives have been used for various non-cryptographic objectives, such as eliminating or reducing randomness and interaction. We show how to use cryptography to improve the time complexity of solving computational problems.…

Cryptography and Security · Computer Science 2025-04-23 Vinod Vaikuntanathan , Or Zamir

Counterfactual explanations are emerging as an attractive option for providing recourse to individuals adversely impacted by algorithmic decisions. As they are deployed in critical applications (e.g. law enforcement, financial lending), it…

Machine Learning · Computer Science 2021-11-05 Dylan Slack , Sophie Hilgard , Himabindu Lakkaraju , Sameer Singh

Deep neural networks are powerful and popular learning models that achieve state-of-the-art pattern recognition performance on many computer vision, speech, and language processing tasks. However, these networks have also been shown…

Machine Learning · Computer Science 2016-12-20 Nina Narodytska , Shiva Prasad Kasiviswanathan

Type-two constructions abound in cryptography: adversaries for encryption and authentication schemes, if active, are modeled as algorithms having access to oracles, i.e. as second-order algorithms. But how about making cryptographic schemes…

Logic in Computer Science · Computer Science 2020-02-19 Boaz Barak , Raphaëlle Crubillé , Ugo Dal Lago

Randomization is an integral part of well-designed statistical trials, and is also a required procedure in legal systems, see Marcondes et al. (2019) This paper presents an easy to implement randomization protocol that assures, in a formal…

Cryptography and Security · Computer Science 2019-12-24 Olivia Saa , Julio Michael Stern

When the inverse of an algorithm is well-defined -- that is, when its output can be deterministically transformed into the input producing it -- we say that the algorithm is invertible. While one can describe an invertible algorithm using a…

Programming Languages · Computer Science 2022-12-07 Joachim Tilsted Kristensen , Robin Kaarsgaard , Michael Kirkedal Thomsen

We propose a generalization of Zhandry's compressed oracle method to random permutations, where an algorithm can query both the permutation and its inverse. We show how to use the resulting oracle simulation to bound the success probability…

Quantum Physics · Physics 2025-10-20 Christian Majenz , Giulio Malavolta , Michael Walter

The Feistel construction is a fundamental technique for building pseudorandom permutations and block ciphers. This paper shows that a simple adaptation of the construction is resistant, even to algorithm substitution attacks -- that is,…

Cryptography and Security · Computer Science 2024-04-16 Alexander Russell , Qiang Tang , Jiadong Zhu

A test oracle determines whether a system behaves correctly for a given input. Automatic testing techniques rely on an automated test oracle to test the system without user interaction. Important families of automated test oracles include…

Software Engineering · Computer Science 2022-10-21 Manuel Rigger , Zhendong Su

We consider the cryptographic problem of constructing an invertible random permutation from a public random function (i.e., which can be accessed by the adversary). This goal is formalized by the notion of indifferentiability of Maurer et…

Cryptography and Security · Computer Science 2011-06-02 Thomas Holenstein , Robin Künzler , Stefano Tessaro
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