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This paper presents a new weak Galerkin (WG) method for elliptic interface problems on general curved polygonal partitions. The method's key innovation lies in its ability to transform the complex interface jump condition into a more…

Numerical Analysis · Mathematics 2023-10-12 Dan Li , Chunmei Wang , Shangyou Zhang

The development of large quantum computers will have dire consequences for cryptography. Most of the symmetric and asymmetric cryptographic algorithms are vulnerable to quantum algorithms. Grover's search algorithm gives a square root time…

Cryptography and Security · Computer Science 2022-02-08 Ritik Bavdekar , Eashan Jayant Chopde , Ashutosh Bhatia , Kamlesh Tiwari , Sandeep Joshua Daniel , Atul

The Discrete Logarithm Problem is well-known among cryptographers, for its computational hardness that grants security to some of the most commonly used cryptosystems these days. Still, many of these are limited to a small number of…

Cryptography and Security · Computer Science 2010-02-19 Martin Schaffer , Stefan Rass

Most common public key cryptosystems and public key exchange protocols presently in use, such as the RSA algorithm, Diffie-Hellman, and elliptic curve methods are number theory based and hence depend on the structure of abelian groups. The…

Cryptography and Security · Computer Science 2011-03-23 Benjamin Fine , Maggie Habeeb , Delaram Kahrobaei , Gerhard Rosenberger

Electronic whistleblowing systems are widely used due to their efficiency and convenience. The key to designing such systems lies in protecting the identity privacy of whistleblowers, preventing malicious whistleblowing, and ensuring the…

Cryptography and Security · Computer Science 2025-09-23 Huifang Yu , Jiaxing Jie , Lei Li

Whilst many key exchange and digital signature systems still rely on NIST P-256 (secp256r1) and secp256k1, offering around 128-bit security, there is an increasing demand for transparent and reproducible curves at the 256-bit security…

Cryptography and Security · Computer Science 2026-04-21 Víctor Duarte Melo , William J. Buchanan

In this paper, we study the problem of sampling random supersingular elliptic curves with unknown endomorphism rings. This problem has recently gained considerable attention as many isogeny-based cryptographic protocols require such…

Quantum Physics · Physics 2026-03-24 Maher Mamah , Jake Doliskani , David Jao

We propose a new quantum key distribution scheme that uses the blind polarization basis. In our scheme the sender and the receiver share key information by exchanging qubits with arbitrary polarization angles without basis reconciliation.…

Quantum Physics · Physics 2007-05-23 Won-Ho Kye , Chil-Min Kim , M. S. Kim , Young-Jai Park

The recent discovery of fully-homomorphic classical encryption schemes has had a dramatic effect on the direction of modern cryptography. Such schemes, however, implicitly rely on the assumptions that solving certain computation problems…

Quantum Physics · Physics 2018-10-31 Yingkai Ouyang , Si-Hui Tan , Joseph Fitzsimons

In this paper we proposed two identification schemes based on the root problem. The proposed schemes are secure against passive attacks assuming that the root problem (RP) is hard in braid groups.

Cryptography and Security · Computer Science 2007-05-23 Sunder Lal , Atul Chaturvedi

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

Precise suites of benchmarks are required to assess the progress of early fault-tolerant quantum computers at economically impactful applications such as cryptanalysis. Appropriate challenges exist for factoring but those for elliptic curve…

Quantum Physics · Physics 2026-03-27 Pierre-Luc Dallaire-Demers , William Doyle , Timothy Foo

Smart metering infrastructure (SMI) is the core component of the smart grid (SG) which enables two-way communication between consumers and utility companies to control, monitor, and manage the energy consumption data. Despite their salient…

Networking and Internet Architecture · Computer Science 2019-07-23 Sahil Garg , Kuljeet Kaur , Georges Kaddoum , François Gagnon , Syed Hassan Ahmed , Dushantha Nalin K. Jayakody

In this paper, we propose a novel biometric cryptosystem for vectorial biometrics named symmetric keyring encryption (SKE) inspired by Rivest's keyring model (2016). Unlike conventional biometric secret-binding primitives, such as fuzzy…

Computer Vision and Pattern Recognition · Computer Science 2018-10-01 Yen-Lung Lai , Jung-Yeon Hwang , Zhe Jin , Soohyong Kim , Sangrae Cho , Andrew Beng Jin Teoh

EdDSA is a standardised elliptic curve digital signature scheme introduced to overcome some of the issues prevalent in the more established ECDSA standard. Due to the EdDSA standard specifying that the EdDSA signature be deterministic, if…

Cryptography and Security · Computer Science 2023-10-11 Sam Grierson , Konstantinos Chalkias , William J Buchanan , Leandros Maglaras

In this work, we present homomorphic encryption-based vaults (Haults), a permissioned privacy-preserving smart wallet protocol for VM-enabled blockchains that keeps users' balances confidential, as well as the amounts transacted to other…

Cryptography and Security · Computer Science 2025-11-25 Xavier Salleras

This document focuses on developing a key expansion method based on the internet X.509 public key infrastructure and elliptic curve cryptography, which is applied in the context of anonymous voting. The method enables end entities to…

Cryptography and Security · Computer Science 2024-10-24 Abel C. H. Chen

In recent years, establishing secure visual communications has turned into one of the essential problems for security engineers and researchers. However, only limited novel solutions are provided for image encryption, and limiting the…

Cryptography and Security · Computer Science 2022-04-19 Navid Abapour , Mohsen Ebadpour

Blind Quantum Computation lets a limited-capability client delegate its complex computation to a remote server without revealing its data or computation. Several such protocols have been proposed under varied quantum computing models.…

Quantum Physics · Physics 2025-12-18 Mohit Joshi , Manoj Kumar Mishra , S. Karthikeyan

In this paper, we present a new ellipsoid-type algorithm for solving nonsmooth problems with convex structure. Examples of such problems include nonsmooth convex minimization problems, convex-concave saddle-point problems and variational…

Optimization and Control · Mathematics 2021-06-28 Anton Rodomanov , Yurii Nesterov