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The discrete logarithm problem in a finite group is the basis for many protocols in cryptography. The best general algorithms which solve this problem have time complexity of $\mathcal{O}(\sqrt{N}\log N)$, and a space complexity of…

Computational Complexity · Computer Science 2022-03-16 Simran Tinani , Joachim Rosenthal

Quantum information is well-known to achieve cryptographic feats that are unattainable using classical information alone. Here, we add to this repertoire by introducing a new cryptographic functionality called uncloneable encryption. This…

Quantum Physics · Physics 2021-06-25 Anne Broadbent , Sébastien Lord

In this paper, algorithms for multivariate public key cryptography and digital signature are described. Plain messages and encrypted messages are arrays, consisting of elements from a fixed finite ring or field. The encryption and…

Cryptography and Security · Computer Science 2018-07-24 Pulugurtha Krishna Subba Rao , Duggirala Meher Krishna , Duggirala Ravi

This work presents some novel techniques to enhance an encryption scheme motivated by classical McEliece cryptosystem. Contributions include: (1) using masking matrices to hide sensitive data, (2) allowing both legitimate parties to…

Cryptography and Security · Computer Science 2024-01-30 Amir K. Khandani

We consider the secure computation problem in a minimal model, where Alice and Bob each holds an input and wish to securely compute a function of their inputs at Carol without revealing any additional information about the inputs. For this…

Information Theory · Computer Science 2021-11-24 Yizhou Zhao , Hua Sun

In the context of superintelligent AI systems, the term "oracle" has two meanings. One refers to modular systems queried for domain-specific tasks. Another usage, referring to a class of systems which may be useful for addressing the value…

Artificial Intelligence · Computer Science 2018-01-03 Gopal P. Sarma , Nick J. Hay

A new cryptographic approach -- Iterated Random Encryption (IRE) -- is presented here. Although it is very simple, and easy to implement, it provides a very high level of security. According to this approach, a sequence of operations…

Cryptography and Security · Computer Science 2018-10-30 Osvaldo Skliar , Sherry Gapper , Ricardo E. Monge

Performing smart computations in a context of cloud computing and big data is highly appreciated today. Fully homomorphic encryption (FHE) is a smart category of encryption schemes that allows working with the data in its encrypted form. It…

Cryptography and Security · Computer Science 2018-04-20 Ahmed El-Yahyaoui , Mohamed Dafir Ech-Chrif El Kettani

Recent progress in (Large) Language Models (LMs) has enabled the development of autonomous LM-based agents capable of executing complex tasks with minimal supervision. These agents have started to be integrated into systems with significant…

Cryptography and Security · Computer Science 2026-03-04 Federico Villa , F. Betül Durak , Tadayoshi Kohno , Tapdig Maharramli , Franziska Roesner

A fruitful way of obtaining meaningful, possibly concrete, algorithmically random numbers is to consider a potential behaviour of a Turing machine and its probability with respect to a measure (or semi-measure) on the input space of binary…

Computational Complexity · Computer Science 2017-06-13 George Barmpalias , Douglas Cenzer , Christopher P. Porter

We present a secure and private blockchain-based Verifiable Random Function (VRF) scheme addressing some limitations of classical VRF constructions. Given the imminent quantum computing adversarial scenario, conventional cryptographic…

Cryptography and Security · Computer Science 2024-02-08 Bong Gon Kim , Dennis Wong , Yoon Seok Yang

Post-quantum cryptography studies the security of classical, i.e. non-quantum cryptographic protocols against quantum attacks. Until recently, the considered adversaries were assumed to use quantum computers and behave like classical…

Cryptography and Security · Computer Science 2013-07-16 Maria Velema

Chaotic cryptography describes the use of chaos theory (in particular physical dynamical systems working in chaotic regime as part of communication techniques and computation algorithms) to perform different cryptographic tasks in a…

Chaotic Dynamics · Physics 2012-03-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

Advanced Encryption Standard (AES) algorithm is considered as a secured algorithm. Still, some security issues lie in the S-Box and the key used. In this paper, we have tried to give focus on the security of the key used. Here, the proposed…

Cryptography and Security · Computer Science 2013-07-12 Chittaranjan Pradhan , Ajay Kumar Bisoi

In this paper, an algorithm is aimed to make a cryptosystem for gray level images based on voice features, secret sharing scheme and electromagnetic rotor machine. Here, Shamir secret sharing (k n) threshold scheme is used to secure a key…

Cryptography and Security · Computer Science 2020-11-04 Ashish Kumar , N S Raghava

Functional encryption is a powerful cryptographic primitive that enables fine-grained access to encrypted data and underlies numerous applications. Although the ideal security notion for FE (simulation security) has been shown to be…

Cryptography and Security · Computer Science 2026-01-27 Mohammed Barhoush , Arthur Mehta , Anne Müller , Louis Salvail

One-time programs (Goldwasser, Kalai and Rothblum, CRYPTO 2008) are functions that can be run on any single input of a user's choice, but not on a second input. Classically, they are unachievable without trusted hardware, but the…

Cryptography and Security · Computer Science 2025-08-29 Aparna Gupte , Jiahui Liu , Justin Raizes , Bhaskar Roberts , Vinod Vaikuntanathan

The purpose of the paper is to give new key agreement protocols (a multi-party extension of the protocol due to Anshel-Anshel-Goldfeld and a generalization of the Diffie-Hellman protocol from abelian to solvable groups) and a new…

Group Theory · Mathematics 2007-05-23 Dimitri Grigoriev , Ilia Ponomarenko

Privacy-preserving machine learning has become an important long-term pursuit in this era of artificial intelligence (AI). Fully Homomorphic Encryption (FHE) is a uniquely promising solution, offering provable privacy and security…

Cryptography and Security · Computer Science 2026-03-30 Cory Brynds , Parker McLeod , Lauren Caccamise , Asmita Pal , Dewan Saiham , Sazadur Rahman , Joshua San Miguel , Di Wu

Threats from the internet, particularly malicious software (i.e., malware) often use cryptographic algorithms to disguise their actions and even to take control of a victim's system (as in the case of ransomware). Malware and other threats…

Cryptography and Security · Computer Science 2015-03-05 Diane Duros Hosfelt