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By resorting to basic features of topological knot theory we propose a (classical) cryptographic protocol based on the `difficulty' of decomposing complex knots generated as connected sums of prime knots and their mutants. The scheme…

Mathematical Physics · Physics 2011-12-26 Annalisa Marzuoli , Giandomenico Palumbo

Quantum computers create new security risks for today's encryption systems. This paper presents an improved version of the Advanced Encryption Standard (AES) that uses quantum technology to strengthen protection. Our approach offers two…

Quantum Physics · Physics 2025-10-02 Albert Nieto-Morales , Arit Kumar Bishwas , Joel Jacob Varghese

The problem of adopting quantum-resistant cryptographic network protocols or post-quantum cryptography (PQC) is critically important to democratizing quantum computing. The problem is urgent because practical quantum computers will break…

Networking and Internet Architecture · Computer Science 2024-08-09 Jakub Sowa , Bach Hoang , Advaith Yeluru , Steven Qie , Anita Nikolich , Ravishankar Iyer , Phuong Cao

We propose a homomorphic search protocol based on quantum homomorphic encryption, in which a client Alice with limited quantum ability can give her encrypted data to a powerful but untrusted quantum server and let the server search for her…

Quantum Physics · Physics 2020-03-24 Qing Zhou , Songfeng Lu

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

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

Due to Shor's algorithm, quantum computers are a severe threat for public key cryptography. This motivated the cryptographic community to search for quantum-safe solutions. On the other hand, the impact of quantum computing on secret key…

Quantum Physics · Physics 2022-07-13 Marc Kaplan , Gaëtan Leurent , Anthony Leverrier , María Naya-Plasencia

Quantum computing is reshaping the security landscape of modern telecommunications. The cryptographic foundations that secure todays 5G systems, including RSA, Elliptic Curve Cryptography (ECC), and Diffie-Hellman (DH), are all susceptible…

Cryptography and Security · Computer Science 2025-10-24 Vipin Rathi , Lakshya Chopra , Rudraksh Rawal , Nitin Rajput , Shiva Valia , Madhav Aggarwal , Aditya Gairola

We propose a new method for retrieving the algebraic structure of a generic alternant code given an arbitrary generator matrix, provided certain conditions are met. We then discuss how this challenges the security of the McEliece…

Information Theory · Computer Science 2025-05-16 Axel Lemoine

Homomorphic quantum error correction aims to protect quantum data against both unauthorized access and environmental noise during server-based processing. We investigate the algebraic compatibility between quantum homomorphic encryption and…

Quantum Physics · Physics 2026-05-26 Kornikar Sen , Miguel A. Martin-Delgado

Classification techniques can be used to analyze system behaviors, network protocols, and cryptographic primitives based on identifiable traits. While useful for defense, such classification can also be leveraged by attackers to infer…

Cryptography and Security · Computer Science 2026-01-13 Tushin Mallick , Cristina Nita-Rotaru , Ashish Kundu , Ramana Kompella

This review examines how quantum computing and artificial intelligence challenge current cryptographic systems. We analyze the literature to assess the resilience of algorithms against quantum attacks (Shor's and Grover's algorithms) and…

Cryptography and Security · Computer Science 2026-03-10 Viraaji Mothukuri , Reza M. Parizi

Rank Decoding (RD) is the main underlying problem in rank-based cryptography. Based on this problem and quasi-cyclic versions of it, very efficient schemes have been proposed recently, such as those in the ROLLO and RQC submissions, which…

Cryptography and Security · Computer Science 2021-02-10 Magali Bardet , Maxime Bros , Daniel Cabarcas , Philippe Gaborit , Ray Perlner , Daniel Smith-Tone , Jean-Pierre Tillich , Javier Verbel

Elliptic curve cryptography (ECC) is a remarkable mathematical tool that offers the same level of security as traditional public-key cryptography (PKC) with a significantly smaller key size and lower computational requirements. The use of…

Cryptography and Security · Computer Science 2023-07-20 Mahender Kumar

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

This study reports on an implementation of cryptographic pairings in a general purpose computer algebra system. For security levels equivalent to the different AES flavours, we exhibit suitable curves in parametric families and show that…

Number Theory · Mathematics 2014-07-23 Andreas Enge , Jérôme Milan

We investigate security properties of the Anshel-Anshel-Goldfeld commutator key-establishment protocol used with certain polycyclic groups. We show that despite low success of the length based attack the protocol can be broken by a…

Group Theory · Mathematics 2015-04-21 Matvei Kotov , Alexander Ushakov

We present quantum circuits to implement an exhaustive key search for the Advanced Encryption Standard (AES) and analyze the quantum resources required to carry out such an attack. We consider the overall circuit size, the number of qubits,…

Quantum Physics · Physics 2015-12-17 Markus Grassl , Brandon Langenberg , Martin Roetteler , Rainer Steinwandt

We present CryptoChaos, a novel hybrid cryptographic framework that synergizes deterministic chaos theory with cutting-edge cryptographic primitives to achieve robust, post-quantum resilient encryption. CryptoChaos harnesses the intrinsic…

Cryptography and Security · Computer Science 2025-04-14 Kevin Song , Noorullah Imran , Jake Y. Chen , Allan C. Dobbins

With the ever-growing concern for internet security, the field of quantum cryptography emerges as a promising solution for enhancing the security of networking systems. In this paper, 20 notable papers from leading conferences and journals…

Cryptography and Security · Computer Science 2023-06-16 Mst Shapna Akter
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