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After three rounds of post-quantum cryptography (PQC) strict evaluations conducted by NIST, CRYSTALS-Kyber was successfully selected in July 2022 and standardized in August 2024. It becomes urgent to further evaluate Kyber's physical…

Cryptography and Security · Computer Science 2025-03-14 Kai Wang , Dejun Xu , Jing Tian

Blockchains have gained substantial attention from academia and industry for their ability to facilitate decentralized trust and communications. However, the rapid progress of quantum computing poses a significant threat to the security of…

Cryptography and Security · Computer Science 2024-09-04 Zebo Yang , Haneen Alfauri , Behrooz Farkiani , Raj Jain , Roberto Di Pietro , Aiman Erbad

By combining the one-way coupled chaotic map lattice system with a bit-reverse operation, we construct a new cryptosystem which is extremely sensitive to the system parameters even for low-dimensional systems. The security of this new…

Chaotic Dynamics · Physics 2007-05-23 Xingang Wang , Meng Zhan , Xiaofeng Gong , Choy-Heng Lai

The subset cover problem for $k \geq 1$ hash functions, which can be seen as an extension of the collision problem, was introduced in 2002 by Reyzin and Reyzin to analyse the security of their hash-function based signature scheme HORS. The…

Quantum Physics · Physics 2023-06-14 Samuel Bouaziz--Ermann , Alex B. Grilo , Damien Vergnaud

The learning parity with noise (LPN) problem is a well-established computational challenge whose difficulty is critical to the security of several post-quantum cryptographic primitives such as HQC and Classic McEliece. Classically, the…

Cryptography and Security · Computer Science 2026-03-03 Daniel Shiu

Quantum algorithms can break factoring and discrete logarithm based cryptography and weaken symmetric cryptography and hash functions. In order to estimate the real-world impact of these attacks, apart from tracking the development of…

Quantum Physics · Physics 2019-02-11 Vlad Gheorghiu , Michele Mosca

The software engineering community is facing challenges from quantum computers (QCs). In the era of quantum computing, Shor's algorithm running on QCs can break asymmetric encryption algorithms that classical computers practically cannot.…

Software Engineering · Computer Science 2023-05-16 Lei Zhang , Andriy Miranskyy , Walid Rjaibi , Greg Stager , Michael Gray , John Peck

The discrete Gaussian $D_{L- t, s}$ is the distribution that assigns to each vector $x$ in a shifted lattice $L - t$ probability proportional to $e^{-\pi \|x\|^2/s^2}$. It has long been an important tool in the study of lattices. More…

Computational Complexity · Computer Science 2019-01-28 Noah Stephens-Davidowitz

Quantum heuristics have shown promise in solving various optimization problems, including lattice protein folding. Equally relevant is the inverse problem, protein design, where one seeks sequences that fold to a given target structure. The…

We show polynomial-time quantum algorithms for the following problems: (*) Short integer solution (SIS) problem under the infinity norm, where the public matrix is very wide, the modulus is a polynomially large prime, and the bound of…

Quantum Physics · Physics 2021-10-07 Yilei Chen , Qipeng Liu , Mark Zhandry

Analyzing the security of cryptosystems under attacks based on the malicious modification of memory registers is a research topic of high importance. This type of attacks may affect the randomness of the secret parameters by forcing a…

Cryptography and Security · Computer Science 2017-12-29 Domingo Gomez-Perez , Guénaël Renault

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

This article presets a review of the achievements rapidly developing field of cryptography - public-key cryptography based on the lattice theory. Paper contains the necessary basic concepts and the major problems of the lattice theory, as…

Cryptography and Security · Computer Science 2010-09-14 V. S. Usatyuk

Security of currently deployed public key cryptography algorithms is foreseen to be vulnerable against quantum computer attacks. Hence, a community effort exists to develop post-quantum cryptography (PQC) algorithms, i.e., algorithms that…

Cryptography and Security · Computer Science 2021-01-28 Malik Imran , Zain Ul Abideen , Samuel Pagliarini

The advent of quantum computing poses significant threats to classical public-key cryptographic primitives such as RSA and elliptic-curve cryptography. As many critical network and security protocols depend on these primitives for key…

Networking and Internet Architecture · Computer Science 2026-03-31 Tushin Mallick , Ashish Kundu , Ramana Kompella

Many modern asymmetric encryption methods rely on prime numbers, as they have distinctive properties. For instance, the security of RSA cryptosystem relies on the computational difficulty of factoring a large composite number in its prime…

Cryptography and Security · Computer Science 2026-05-19 Anas A. Abudaqa , Nujud Alyami , Mostefa Kara , Farid Binbeshr , Muhammad Imam , Amjad Abuhassan

In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the…

High Energy Physics - Lattice · Physics 2023-08-10 Lena Funcke , Tobias Hartung , Karl Jansen , Stefan Kühn

The Chrysalis project is a proposed method for post-quantum cryptography using the Riemann sphere. To this end, Riemann primitives are introduced in addition to a novel implementation of this new method. Chrysalis itself is the first…

Cryptography and Security · Computer Science 2023-07-26 Ian Malloy

As quantum computing technology matures, it poses a threat to the security of mainstream asymmetric cryptographic methods. In response, the National Institute of Standards and Technology released the final version of post-quantum…

Cryptography and Security · Computer Science 2024-10-08 Abel C. H. Chen

Efficiently solving the Shortest Vector Problem (SVP) in two-dimensional lattices holds practical significance in cryptography and computational geometry. While simpler than its high-dimensional counterpart, two-dimensional SVP motivates…

Computational Geometry · Computer Science 2025-07-02 Lihao Zhao , Chengliang Tian , Jingguo Bi , Guangwu Xu , Jia Yu