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The assumed computationally difficulty of factoring large integers forms the basis of security for RSA public-key cryptography, which specifically relies on products of two large primes or semi-primes. The best-known factoring algorithms…

Cryptography and Security · Computer Science 2019-10-24 Michele Mosca , Sebastian R. Verschoor

We give precise quantum resource estimates for Shor's algorithm to compute discrete logarithms on elliptic curves over prime fields. The estimates are derived from a simulation of a Toffoli gate network for controlled elliptic curve point…

Quantum Physics · Physics 2017-11-01 Martin Roetteler , Michael Naehrig , Krysta M. Svore , Kristin Lauter

Post-Quantum Cryptography PQC attempts to find cryptographic protocols resistant to attacks using Shors polynomial time algorithm for numerical field problems or Grovers algorithm to find the unique input to a black-box function that…

Cryptography and Security · Computer Science 2020-08-04 Pedro Hecht

Sapphire is an attractive material in photonic, optoelectronic, and transparent ceramic applications that stand to benefit from surface functionalization effects stemming from micro/nanostructures. Here we investigate the use of ultrafast…

Materials Science · Physics 2024-11-19 Joshua Cheung , Kun-Chieh Chien , Peter Sokalski , Li Shi , Chih-Hao Chang

Surface quantum error-correcting codes are the leading proposal for fault-tolerance within quantum computers. We present OpenSurgery, a scalable tool for the preparation of circuits protected by the surface code operated through lattice…

Quantum Physics · Physics 2020-08-27 Alexandru Paler , Austin G. Fowler

Quantum computer is no longer a hypothetical idea. It is the worlds most important technology and there is a race among countries to get supremacy in quantum technology. Its the technology that will reduce the computing time from years to…

Cryptography and Security · Computer Science 2022-04-07 Manish Kumar

We propose a framework for constructing efficient code-based encryption schemes from codes that do not hide any structure in their public matrix. The framework is in the spirit of the schemes first proposed by Alekhnovich in 2003 and based…

Cryptography and Security · Computer Science 2016-12-19 Carlos Aguilar , Olivier Blazy , Jean-Christophe Deneuville , Philippe Gaborit , Gilles Zémor

Lattice-based cryptography relies on generating random bases which are difficult to fully reduce. Given a lattice basis (such as the private basis for a cryptosystem), all other bases are related by multiplication by matrices in…

Cryptography and Security · Computer Science 2021-05-20 Tamar Lichter Blanks , Stephen D. Miller

The migration of computation to the cloud has raised concerns regarding the security and privacy of sensitive data, as their need to be decrypted before processing, renders them susceptible to potential breaches. Fully Homomorphic…

Post-quantum cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using for instance Shor's polynomial time algorithm for numerical field problems like integer factorization (IFP) or the discrete logarithm (DLP).…

Cryptography and Security · Computer Science 2024-12-31 Pedro Hecht

Shor's factoring algorithm (SFA), by its ability to efficiently factor large numbers, has the potential to undermine contemporary encryption. At its heart is a process called order finding, which quantum mechanics lets us perform…

Quantum Physics · Physics 2017-03-03 Frédéric Grosshans , Thomas Lawson , François Morain , Benjamin Smith

This work aims to improve the practicality of gadget-based cryptosystems, with a focus on hash-and-sign signatures. To this end, we develop a compact gadget framework in which the used gadget is a square matrix instead of the short and fat…

Cryptography and Security · Computer Science 2023-05-23 Yang Yu , Huiwen Jia , Xiaoyun Wang

Post-quantum cryptography has gained attention due to the need for secure cryptographic systems in the face of quantum computing. Code-based and lattice-based cryptography are two prominent approaches, both heavily studied within the NIST…

Cryptography and Security · Computer Science 2024-10-16 Anna-Lena Horlemann , Karan Khathuria , Marc Newman , Amin Sakzad , Carlos Vela Cabello

Traditional financial institutions face inefficiencies that can be addressed by distributed ledger technology. However, a primary barrier to adoption is the privacy concerns surrounding publicly available transaction data. Existing private…

Cryptography and Security · Computer Science 2026-03-06 Yeoh Wei Zhu , Naresh Goud Boddu , Yao Ma , Shaltiel Eloul , Giulio Golinelli , Yash Satsangi , Rob Otter , Kaushik Chakraborty

The convergence of the Internet of Things (IoT) and quantum computing is redefining the security paradigm of interconnected digital systems. Classical cryptographic algorithms such as RSA, Elliptic Curve Cryptography (ECC), and Advanced…

Cryptography and Security · Computer Science 2026-05-29 Jaydip Sen

Quantum computing is a significant risk to classical cryptographic, especially RSA, which depends on the difficulty of factoring large numbers. Classical factorization methods, such as Trial Division and Pollard's Rho, are inefficient for…

Other Computer Science · Computer Science 2026-02-20 Md. Ismiel Hossen Abir

Masking is a well-known and provably secure countermeasure against side-channel attacks. However, due to additional redundant computations, integrating masking schemes is expensive in terms of performance. The performance overhead of…

Cryptography and Security · Computer Science 2023-11-15 Suparna Kundu , Angshuman Karmakar , Ingrid Verbauwhede

Quantum error correction is necessary for large-scale quantum computing. A promising quantum error correcting code is the surface code. For this code, fault-tolerant quantum computing (FTQC) can be performed via lattice surgery, i.e.,…

Quantum Physics · Physics 2024-09-04 Daniel Bochen Tan , Murphy Yuezhen Niu , Craig Gidney

We introduce LightSABRE, a significant enhancement of the SABRE algorithm that advances both runtime efficiency and circuit quality. LightSABRE addresses the increasing demands of modern quantum hardware, which can now accommodate complex…

Quantum Physics · Physics 2024-09-16 Henry Zou , Matthew Treinish , Kevin Hartman , Alexander Ivrii , Jake Lishman

Homomorphic encryption (HE), which allows computations on encrypted data, is an enabling technology for confidential cloud computing. One notable example is privacy-preserving Prediction-as-a-Service (PaaS), where machine-learning…

Cryptography and Security · Computer Science 2023-05-02 Francesco Intoci , Sinem Sav , Apostolos Pyrgelis , Jean-Philippe Bossuat , Juan Ramon Troncoso-Pastoriza , Jean-Pierre Hubaux
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