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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

We present a classification of quantum public-key encryption protocols. There are six elements in quantum public-key encryption: plaintext, ciphertext, public-key, private-key, encryption algorithm and decryption algorithm. According to the…

Quantum Physics · Physics 2016-01-20 Chenmiao Wu , Li Yang

Two different kinds of synchronization have been applied to cryptography: Synchronization of chaotic maps by one common external signal and synchronization of neural networks by mutual learning. By combining these two mechanisms, where the…

Statistical Mechanics · Physics 2009-11-10 Rachel Mislovaty , Einat Klein , Ido Kanter , Wolfgang Kinzel

At CRYPTO 2013, Boneh and Zhandry initiated the study of quantum-secure encryption. They proposed first indistinguishability definitions for the quantum world where the actual indistinguishability only holds for classical messages, and they…

Cryptography and Security · Computer Science 2017-01-24 Tommaso Gagliardoni , Andreas Hülsing , Christian Schaffner

Stream ciphers play important role in cryptography. In this paper we do a survey on stream ciphers.Various possible attacks are analyzed.

Cryptography and Security · Computer Science 2012-07-24 M. Sivasankar

We present a novel, computationally simple method of hiding any message in the stream of random bits by using a secret key. The method is called Bury Among Random Numbers (BARN). A stream of random bits is produced by extracting the entropy…

Cryptography and Security · Computer Science 2024-04-16 Jan J. Tatarkiewicz , Wieslaw B. Kuzmicz

Encryption study basically deals with three levels of algorithms. The first algorithm deals with encryption mechanism, second deals with decryption Mechanism and the third discusses about the generation of keys and sub keys used in the…

Networking and Internet Architecture · Computer Science 2010-07-05 Addepalli V. N Krishna , A Vinay Babu

Shor's factoring algorithm (SFA), by its ability to efficiently factor large numbers, has the potential to undermine contemporary encryption. At its heart is a process called order finding, which quantum mechanics lets us perform…

Quantum Physics · Physics 2017-03-03 Frédéric Grosshans , Thomas Lawson , François Morain , Benjamin Smith

Numerous methods have been considered to create a fast integer factorization algorithm. Despite its apparent simplicity, the difficulty to find such an algorithm plays a crucial role in modern cryptography, notably, in the security of RSA…

Numerical Analysis · Mathematics 2025-05-01 Justin Friedlander

Encryption schemes often derive their power from the properties of the underlying algebra on the symbols used. Inspired by group theoretic tools, we use the centralizer of a subgroup of operations to present a private-key quantum…

Quantum Physics · Physics 2020-02-21 Si-Hui Tan , Joshua A. Kettlewell , Yingkai Ouyang , Lin Chen , Joseph F. Fitzsimons

A new cryptographic tool, anonymous quantum key technique, is introduced that leads to unconditionally secure key distribution and encryption schemes that can be readily implemented experimentally in a realistic environment. If quantum…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

Passwords are a fragile, inadequate, and insecure tool for authenticating users, and are especially fraught with problems when used to secure access to network resources and services. In many cases, passwords provide a false sense of…

Cryptography and Security · Computer Science 2012-09-06 Travis Z. Suel

Two styles of definitions are usually considered to express that a security protocol preserves the confidentiality of a data s. Reachability-based secrecy means that s should never be disclosed while equivalence-based secrecy states that…

Cryptography and Security · Computer Science 2015-07-01 Veronique Cortier , Michael Rusinovitch , Eugen Zalinescu

In this paper, we propose a brand new public key encryption scheme in the Lie group that is a non-abelian group. In particular, we firstly investigate the intractability assumptions in the Lie group, including the non-abelian factoring…

Cryptography and Security · Computer Science 2016-05-24 Haibo Hong , Jun Shao , Licheng Wang , Haseeb Ahmad , Yixian Yang

Encrypted computation opens up promising avenues across a plethora of application domains, including machine learning, health-care, finance, and control. Arithmetic homomorphic encryption, in particular, is a natural fit for cloud-based…

Cryptography and Security · Computer Science 2024-10-29 Janis Adamek , Philipp Binfet , Nils Schlüter , Moritz Schulze Darup

Homomorphic encryption is a powerful cryptographic tool that enables secure computations on the private data. It evaluates any function for any operation securely on the encrypted data without knowing its corresponding plaintext. For…

Cryptography and Security · Computer Science 2025-09-18 Giovanni Giuseppe Grimaldi

NeuraCrypt (Yara et al. arXiv 2021) is an algorithm that converts a sensitive dataset to an encoded dataset so that (1) it is still possible to train machine learning models on the encoded data, but (2) an adversary who has access only to…

Cryptography and Security · Computer Science 2021-08-17 Nicholas Carlini , Sanjam Garg , Somesh Jha , Saeed Mahloujifar , Mohammad Mahmoody , Florian Tramer

A new asymmetric cryptosystem based on the Integer Factorization Problem is proposed. It posses an encryption and decryption speed of $O(n^2)$, thus making it the fastest asymmetric encryption scheme available. It has a simple mathematical…

Cryptography and Security · Computer Science 2012-10-24 M. R. K. Ariffin

We give a new class of security definitions for authentication in the quantum setting. These definitions capture and strengthen existing definitions of security against quantum adversaries for both classical message authentication codes…

Cryptography and Security · Computer Science 2016-09-15 Sumegha Garg , Henry Yuen , Mark Zhandry

We construct quantum public-key encryption from one-way functions. In our construction, public keys are quantum, but ciphertexts are classical. Quantum public-key encryption from one-way functions (or weaker primitives such as pseudorandom…

Quantum Physics · Physics 2024-05-27 Fuyuki Kitagawa , Tomoyuki Morimae , Ryo Nishimaki , Takashi Yamakawa