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Based on quantum encryption, we present a new idea for quantum public-key cryptography (QPKC) and construct a whole theoretical framework of a QPKC system. We show that the quantum-mechanical nature renders it feasible and reasonable to use…

Quantum Physics · Physics 2009-12-23 Fei Gao , Qiao-Yan Wen , Su-Juan Qin , Fu-Chen Zhu

We aim to advance the state-of-the-art in Quadratic Unconstrained Binary Optimization formulation with a focus on cryptography algorithms. As the minimal QUBO encoding of the linear constraints of optimization problems emerges as the…

Cryptography and Security · Computer Science 2026-04-16 Gregory Morse , Tamás Kozsik , Oskar Mencer , Peter Rakyta

We present novel homomorphic encryption schemes for integer arithmetic, intended for use in secure single-party computation in the cloud. These schemes are capable of securely computing only low degree polynomials homomorphically, but this…

Cryptography and Security · Computer Science 2017-02-27 James Dyer , Martin Dyer , Jie Xu

In this note, an intrinsic description of some families of linear codes with symmetries is given, showing that they can be described more generally as quasi group codes, that is, as linear codes allowing a group of permutation automorphisms…

Information Theory · Computer Science 2021-11-11 Martino Borello , Wolfgang Willems

Block Encoding (BE) is a crucial subroutine in many modern quantum algorithms, including those with near-optimal scaling for simulating quantum many-body systems, which often rely on Quantum Signal Processing (QSP). Currently, the primary…

In this expository article we present an overview of the current state-of-the-art in post-quantum group-based cryptography. We describe several families of groups that have been proposed as platforms, with special emphasis in polycyclic…

Cryptography and Security · Computer Science 2023-01-18 Delaram Kahrobaei , Ramón Flores , Marialaura Noce

The field of lightweight cryptography has been gaining popularity as traditional cryptographic techniques are challenging to implement in resource-limited environments. This research paper presents an approach to utilizing the ESP32…

Cryptography and Security · Computer Science 2023-02-28 Augustine Ukpebor , James Addy , Kamal Ali , Ali Abu-El Humos

Unitary $t$-designs are the bread and butter of quantum information theory and beyond. An important issue in practice is that of efficiently constructing good approximations of such unitary $t$-designs. Building on results by Aubrun (Comm.…

Quantum Physics · Physics 2020-09-02 Cécilia Lancien , Christian Majenz

Our goal is to provide different semiring-based formal tools for the specification of security requirements: we quantitatively enhance the open-system approach, according to which a system is partially specified. Therefore, we suppose the…

Logic in Computer Science · Computer Science 2015-09-30 Fabio Martinelli , Ilaria Matteucci , Francesco Santini

Starting from the one-way group action framework of Brassard and Yung (Crypto '90), we revisit building cryptography based on group actions. Several previous candidates for one-way group actions no longer stand, due to progress both on…

Cryptography and Security · Computer Science 2019-06-12 Zhengfeng Ji , Youming Qiao , Fang Song , Aaram Yun

We propose a QNSC pre-coding scheme based on probabilistic shaping of the basis, to reduce the probability of ciphertext bits that are easier to be intercepted. Experiment results show this scheme can improve the security performance by…

Cryptography and Security · Computer Science 2023-05-17 Sheng Liu , Shuang Wei , Wei Wang , Chao Lei , Tianhe Liu , Yajie Li , Yunbo Li , Dawei Ge , Dong Wang , Yongli Zhao , Dechao Zhang , Han Li , Jie Zhang

Local pseudorandom generators are a class of fundamental cryptographic primitives having very broad applications in theoretical cryptography. Following Couteau et al.'s work in ASIACRYPT 2018, this paper further studies the concrete…

Cryptography and Security · Computer Science 2021-03-05 Jing Yang , Qian Guo , Thomas Johansson , Michael Lentmaier

This article presents an encryption scheme based on the small Ree groups. We propose utilizing the small Ree group structure to enhance the overall security parameters of the encryption scheme. By extending the logarithmic signature to…

Cryptography and Security · Computer Science 2025-04-16 Gennady Khalimov , Yevgen Kotukh

We analyze a new group testing scheme, termed semi-quantitative group testing, which may be viewed as a concatenation of an adder channel and a discrete quantizer. Our focus is on non-uniform quantizers with arbitrary thresholds. For the…

Information Theory · Computer Science 2015-06-26 Amin Emad , Olgica Milenkovic

Nowadays random number generation plays an essential role in technology with important applications in areas ranging from cryptography, which lies at the core of current communication protocols, to Monte Carlo methods, and other…

One of the major open problems in symmetric cryptanalysis is to discover new specif i c types of invariant properties which can hold for a larger number of rounds of a block cipher. We have Generalised Linear Cryptanalysis (GLC) and…

Cryptography and Security · Computer Science 2019-02-08 Nicolas T. Courtois , Marios Georgiou

Quantum key distribution protocols based on equiangular spherical codes are introduced and their behavior under the intercept/resend attack investigated. Such protocols offer a greater range of secure noise tolerance and speed options than…

Quantum Physics · Physics 2021-09-30 Joseph M. Renes

Quantum bit-string commitment[A.Kent, Phys.Rev.Lett., 90, 237901 (2003)] or QBSC is a variant of bit commitment (BC). In this paper, we propose a new QBSC protocol that can be implemented using currently available technology, and prove its…

Quantum Physics · Physics 2009-11-10 Toyohiro Tsurumaru

In this thesis, we study algebraic coding theory based McEliece-type cryptosystems over quasi-cyclic codes. The main goal of this thesis is to construct a cryptosystem that resists quantum Fourier sampling making it quantum secure. We…

Information Theory · Computer Science 2018-05-28 Upendra Kapshikar

Numerical security proofs offer a versatile approach for evaluating the secret-key generation rate of quantum key distribution (QKD) protocols. However, existing methods typically require perfect source characterization, which is…

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