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The signature is a representation of a path as an infinite sequence of its iterated integrals. Under certain assumptions, the signature characterizes the path, up to translation and reparameterization. Therefore, a crucial question of…

Methodology · Statistics 2023-09-20 Adeline Fermanian , Jiawei Chang , Terry Lyons , Gérard Biau

Cryptographic primitives have been used for various non-cryptographic objectives, such as eliminating or reducing randomness and interaction. We show how to use cryptography to improve the time complexity of solving computational problems.…

Cryptography and Security · Computer Science 2025-04-23 Vinod Vaikuntanathan , Or Zamir

We introduce a framework for graphical security proofs in device-independent quantum cryptography using the methods of categorical quantum mechanics. We are optimistic that this approach will make some of the highly complex proofs in…

Quantum Physics · Physics 2019-05-29 Spencer Breiner , Carl A. Miller , Neil J. Ross

Cryptography is the science of encrypting the information so that it is rendered unreadable for an intruder. Cryptographic techniques are of utmost importance in today's world as the information to be sent might be of invaluable importance…

Cryptography and Security · Computer Science 2015-06-19 Arjun Puri , Sudesh Kumar

Proof of work blockchain protocols using multiple hash types are considered. It is proven that the security region of such a protocol cannot be the AND of a 51\% attack on all the hash types. Nevertheless, a protocol called Merged Bitcoin…

Cryptography and Security · Computer Science 2026-01-15 Christopher Blake , Chen Feng , Xuachao Wang , Qianyu Yu

This paper describes a novel bit level stream cipher based symmetric key cryptographic technique. At first, sender and receiver agree upon a symmetric key. Then the symmetric key is formed using Greatest Common Divisor (G.C.D) of sum of…

Cryptography and Security · Computer Science 2016-05-11 Sarbajit Manna , Saurabh Dutta

In this uncertain world, data uncertainty is inherent in many applications and its importance is growing drastically due to the rapid development of modern technologies. Nowadays, researchers have paid more attention to mine patterns in…

Homomorphic encryption is an encryption method that enables computing over encrypted data. This has a wide range of real world ramifications such as being able to blindly compute a search result sent to a remote server without revealing its…

Cryptography and Security · Computer Science 2016-06-13 Sudharaka Palamakumbura , Hamid Usefi

The extension of persistent homology to multi-parameter setups is an algorithmic challenge. Since most computation tasks scale badly with the size of the input complex, an important pre-processing step consists of simplifying the input…

Algebraic Topology · Mathematics 2019-03-19 Ulderico Fugacci , Michael Kerber

Asymmetric password based key exchange is a key exchange protocol where a client and a server share a low entropic password while the server additionally owns a high entropic secret for a public key. There are simple solutions for this…

Cryptography and Security · Computer Science 2010-09-28 Shaoquan Jiang

This review is aimed to evaluate the importance of Symmetric Key Cryptography for Security in Distributed Systems. Businesses around the world as well as research and other such areas rely heavily on distributed systems these days. Hence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-05 Ramesh Babu , George Abraham , Kiransinh Borasia

Human users have a tough time remembering long cryptographic keys. Hence, researchers, for so long, have been examining ways to utilize biometric features of the user instead of a memorable password or passphrase, in an effort to generate…

Cryptography and Security · Computer Science 2010-03-09 A. Jagadeesan , K. Duraiswamy

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

Quantum encryption is a well studied problem for both classical and quantum information. However, little is known about quantum encryption schemes which enable the user, under different keys, to learn different functions of the plaintext,…

Cryptography and Security · Computer Science 2017-03-02 Aditya Ahuja

This paper presents efficient algorithms, designed to leverage SIMD for performing Montgomery reductions and additions on integers larger than 512 bits. The existing algorithms encounter inefficiencies when parallelized using SIMD due to…

Cryptography and Security · Computer Science 2023-09-01 Pengchang Ren , Reiji Suda , Vorapong Suppakitpaisarn

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

This paper proposes a general optimization strategy, which combines results from different optimization or parameter estimation methods to overcome shortcomings of a single method. Shotgun optimization is developed as a framework which…

Computation · Statistics 2017-11-15 Biljana Jonoska Stojkova , David A. Campbell

Due to resource constraints of the sensor nodes, traditional public key cryptographic techniques are not feasible in most sensor network architectures. Several symmetric key distribution mechanisms are proposed for establishing pairwise…

Cryptography and Security · Computer Science 2011-03-24 Ashok Kumar Das

Due to their immutable log of information, blockchains can be considered as a transparency-enhancing technology. The immutability, however, also introduces threats and challenges with respect to privacy laws and illegal content. Introducing…

Cryptography and Security · Computer Science 2021-07-01 Erik Daniel , Florian Tschorsch

Threshold digital signatures enable a distributed execution of signature functionalities and will play a crucial role in the security of emerging decentralized next-generation networked systems and applications. In this paper, we provide a…

Cryptography and Security · Computer Science 2024-09-18 Kiarash Sedghighadikolaei , Attila Altay Yavuz