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Most classical and post-quantum cryptographic assumptions, including integer factorization, discrete logarithms, and Learning with Errors (LWE), rely on algebraic structures such as rings or vector spaces. While mathematically powerful,…

Cryptography and Security · Computer Science 2025-05-29 Mohamed Aly Bouke

Charles, Goren, and Lauter [J. Cryptology 22(1), 2009] explained how one can construct hash functions using expander graphs in which it is hard to find paths between specified vertices. The set of solutions to the classical Markoff equation…

Number Theory · Mathematics 2023-12-20 Joseph H. Silverman

Approximate dynamic programming (ADP) faces challenges in dealing with constraints in control problems. Model predictive control (MPC) is, in comparison, well-known for its accommodation of constraints and stability guarantees, although its…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

This paper investigates a new class of non-convex optimization, which provides a unified framework for linear precoding in single/multi-user multiple-input multiple-output (MIMO) channels with arbitrary input distributions. The new…

Signal Processing · Electrical Eng. & Systems 2020-04-08 Juening Jin , Yahong Rosa~Zheng , Wen Chen , Chengshan Xiao

A new quantum cryptography implementation is presented that combines one-way operation with an autocompensating feature that has hitherto only been available in implementations that require the signal to make a round trip between the users.…

Convex quadratic programming (QP) is an important class of optimization problem with wide applications in practice. The classic QP solvers are based on either simplex or barrier method, both of which suffer from the scalability issue…

Optimization and Control · Mathematics 2025-07-16 Haihao Lu , Jinwen Yang

In their 2022 study, Kuang et al. introduced Multivariable Polynomial Public Key (MPPK) cryptography, leveraging the inversion relationship between multiplication and division for quantum-safe public key systems. They extended MPPK into…

Cryptography and Security · Computer Science 2024-06-07 Randy Kuang , Maria Perepechaenko , Mahmoud Sayed , Dafu Lou

Quantum computers, that may become available one day, would impact many scientific fields, most notably cryptography since many asymmetric primitives are insecure against an adversary with quantum capabilities. Cryptographers are already…

Quantum Physics · Physics 2017-03-08 Marc Kaplan , Gaëtan Leurent , Anthony Leverrier , María Naya-Plasencia

Currently, the progress of quantum secure direct communication (QSDC) is impeded by a fundamental trade off among control efficiency, security, and scalability. This study proposes an innovative controlled QSDC protocol based on a…

Quantum Physics · Physics 2025-12-18 Ni-Shi Lu , Ping Zhou

Tamper-detection codes (TDCs) are fundamental objects at the intersection of cryptography and coding theory. A TDC encodes messages in such a manner that tampering the codeword causes the decoder to either output the original message, or…

Quantum Physics · Physics 2025-11-27 Thiago Bergamaschi , Naresh Goud Boddu

Powerful quantum computers in the future may be able to break the security used for communication between vehicles and other devices (Vehicle-to-Everything, or V2X). New security methods called post-quantum cryptography can help protect…

Cryptography and Security · Computer Science 2026-02-03 Poushali Sengupta , Mayank Raikwar , Sabita Maharjan , Frank Eliassen , Yan Zhang

We present a layered and modular network architecture that combines Quantum Key Distribution (QKD) and Post-Quantum Cryptography (PQC) to provide scalable end-to-end security across long distance multi-hop, trusted-node quantum networks. To…

Quantum Physics · Physics 2026-05-14 Paul Spooren , Andreas Neuhold , Sebastian Ramacher , Thomas Hühn

Aiming at a ternary quantum logic circuit, four symmetric ternary quantum homomorphic encryption schemes, based on ternary quantum one-time protocol, were presented. First, for a one-qutrit rotation gate, a homomorphic quantum encryption…

Quantum Physics · Physics 2015-05-13 Yuqi Wang , Kun She , Qingbin Luo , Fan Yang , Chao Zhao

Lexicographic depth first search (LexDFS) is a graph search protocol which has already proved to be a powerful tool on cocomparability graphs. Cocomparability graphs have been well studied by investigating their complements (comparability…

Data Structures and Algorithms · Computer Science 2014-04-25 Ekkehard Köhler , Lalla Mouatadid

Probabilistic model checking aims to prove whether a Markov decision process (MDP) satisfies a temporal logic specification. The underlying methods rely on an often unrealistic assumption that the MDP is precisely known. Consequently,…

Optimization and Control · Mathematics 2021-07-02 Murat Cubuktepe , Nils Jansen , Sebastian Junges , Joost-Pieter Katoen , Ufuk Topcu

We propose new provable practical deterministic polynomial time algorithm for the braid Wang, Xu, Li, Lin and Wang Double shielded public key cryptosystems. We show that a linear decomposition attack based on the decomposition method…

Group Theory · Mathematics 2020-10-19 Vitaly Roman'kov

This paper introduces a hybrid encryption framework combining classical cryptography (EdDSA, ECDH), post-quantum cryptography (ML-DSA-6x5, ML-KEM-768), and Quantum Key Distribution (QKD) via Guardian to counter quantum computing threats.…

Cryptography and Security · Computer Science 2025-09-16 Amal Raj , Vivek Balachandran

The rise of quantum computers exposes vulnerabilities in current public key cryptographic protocols, necessitating the development of secure post-quantum (PQ) schemes. Hence, we conduct a comprehensive study on various PQ approaches,…

Cryptography and Security · Computer Science 2023-10-19 Saleh Darzi , Kasra Ahmadi , Saeed Aghapour , Attila Altay Yavuz , Mehran Mozaffari Kermani

When applying eigenvalue decomposition on the quadratic term matrix in a type of linear equally constrained quadratic programming (EQP), there exists a linear mapping to project optimal solutions between the new EQP formulation where $Q$ is…

Optimization and Control · Mathematics 2020-10-22 Shi Yu

Secure multi-party quantum computation (MPQC) protocol is a versatile tool that enables error-free distributed quantum computation to a group of $n$ mutually distrustful quantum nodes even when some of the quantum nodes do not follow the…

Quantum Physics · Physics 2022-11-03 Petr A. Mishchenko , Keita Xagawa
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