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As the quantum computing era approaches, securing classical cryptographic protocols becomes imperative. Public key cryptography is widely used for signature and key exchange but it is the type of cryptography more threatened by quantum…

Cryptography and Security · Computer Science 2026-01-19 Grazia D'Onghia , Diana Gratiela Berbecaru , Antonio Lioy

Public-key cryptosystems are suggested based on invariants of groups. We give also an overview of the known cryptosystems which involve groups.

Cryptography and Security · Computer Science 2007-05-23 D. Grigoriev

McEliece and Niederreiter cryptosystems are robust and versatile cryptosystems. These cryptosystems work with many linear error-correcting codes. They are popular these days because they can be quantum-secure. In this paper, we study the…

Cryptography and Security · Computer Science 2021-11-09 Upendra Kapshikar , Ayan Mahalanobis

Public-key cryptography has become a popular way to motivate the teaching of concepts in elementary number theory, abstract algebra, and introduction to proof courses, as well as in cryptography courses. Unfortunately, many experts expect…

History and Overview · Mathematics 2022-10-11 Joshua Holden

In this paper, we present a variant of Waters' Identity-Based Encryption scheme with a much smaller public-key size (only a few kilobytes). We show that this variant is semantically secure against passive adversaries in the standard…

Cryptography and Security · Computer Science 2007-05-23 David Naccache

This paper provides a simple variation of the basic ideas of the BB84 quantum cryptographic scheme leading to a method of key expansion. A secure random sequence (the bases sequence) determines the encoding bases in a proposed scheme. Using…

Quantum Physics · Physics 2009-10-30 Won Young Hwang , In Gyu Koh , Yeong Deok Han

Akiyama et al. (Int. J. Math. Indust., 2019) proposed a post-quantum key exchange protocol that is based on the hardness of solving a system of multivariate non-linear polynomial equations but has a design strategy different from ordinary…

Cryptography and Security · Computer Science 2022-05-20 Keita Suzuki , Koji Nuida

After some excitement generated by recently suggested public key exchange protocols due to Anshel-Anshel-Goldfeld and Ko-Lee et al., it is a prevalent opinion now that the conjugacy search problem is unlikely to provide sufficient level of…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain , Gabriel Zapata

Quantum Key Distribution (QKD) is currently being discussed as a technology to safeguard communication in a future where quantum computers compromise traditional public-key cryptosystems. In this paper, we conduct a comprehensive security…

Unclonable cryptography leverages the quantum no-cloning principle to copy-protect cryptographic functionalities. While most existing works address the basic single-copy security, the stronger notion of multi-copy security remains largely…

Quantum Physics · Physics 2025-10-15 Alper Çakan , Vipul Goyal , Fuyuki Kitagawa , Ryo Nishimaki , Takashi Yamakawa

We present a novel approach to post-quantum cryptography that employs directed-graph decryption of noise-enhanced high-memory convolutional codes. The proposed construction generates random-like generator matrices that effectively conceal…

Cryptography and Security · Computer Science 2025-12-04 Meir Ariel

The braid group is an important non commutative group, at the same time, it is an important tool in quantum field theory with better topological structure, and often used as a research carrier for anti-quantum cryptographic algorithms. This…

Cryptography and Security · Computer Science 2019-10-11 Xiaoming Chen , Weiqing You , Meng Jiao , Kejun Zhang , Shuang Qing , Zhiqiang Wang

We introduce the notion of a conditional encryption scheme as an extension of public key encryption. In addition to the standard public key algorithms ($\mathsf{KG}$, $\mathsf{Enc}$, $\mathsf{Dec}$) for key generation, encryption and…

Cryptography and Security · Computer Science 2026-03-24 Mohammad Hassan Ameri , Jeremiah Blocki

Public-key cryptosystems for quantum messages are considered from two aspects: public-key encryption and public-key authentication. Firstly, we propose a general construction of quantum public-key encryption scheme, and then construct an…

Quantum Physics · Physics 2012-05-11 Min Liang , Li Yang

While advances in quantum computing promise new opportunities for scientific advancement (e.g., material science and machine learning), many people are not aware that they also threaten the widely deployed cryptographic algorithms that are…

Computers and Society · Computer Science 2021-01-06 Matt Campagna , Brian LaMacchia , David Ott

With the rapid growth of cloud storage and cloud computing services, many organisations and users choose to store the data on a cloud server for saving costs. However, due to security concerns, data of users would be encrypted before…

Cryptography and Security · Computer Science 2021-02-02 Dung Hoang Duong , Partha Sarathi Roy , Willy Susilo , Kazuhide Fukushima , Shinsaku Kiyomoto , Arnaud Sipasseuth

In this paper we consider cryptographic applications of the arithmetic on the hyperoctahedral group. On an appropriate subgroup of the latter, we particularly propose to construct public key cryptosystems based on the discrete logarithm.…

Cryptography and Security · Computer Science 2017-06-16 Iharantsoa Vero Raharinirina

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

In this letter we propose Meta-key, a data-sharing mechanism that enables users share their encrypted data under a blockchain-based decentralized storage architecture. All the data-encryption keys are encrypted by the owner's public key and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-26 Dagang Li , Rong Du , Man Ho Au , Yue Fu

We introduce a new probabilistic public-key cryptosystem which combines the main ingredients of the well-known RSA and Rabin cryptosystems. We investigate the security and performance of our new scheme in comparison to the other two.

Cryptography and Security · Computer Science 2024-03-26 Soeren Kleine , Andreas Nickel , Torben Ritter , Krishnan Shankar
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