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Given a cryptographic group action, we show that the Group Action Inverse Problem (GAIP) and other related problems cannot be NP-hard unless the Polynomial Hierarchy collapses. We show this via random self-reductions and the design of…

Computational Complexity · Computer Science 2022-03-01 Giuseppe D'Alconzo

Fully homomorphic encryption (FHE) allows an untrusted party to evaluate arithmetic cir- cuits, i.e., perform additions and multiplications on encrypted data, without having the decryp- tion key. One of the most efficient class of FHE…

Data Structures and Algorithms · Computer Science 2017-11-20 Hao Chen

Homomorphic encryption is a very useful gradient protection technique used in privacy preserving federated learning. However, existing encrypted federated learning systems need a trusted third party to generate and distribute key pairs to…

Cryptography and Security · Computer Science 2020-11-26 Hangyu Zhu , Rui Wang , Yaochu Jin , Kaitai Liang , Jianting Ning

The GVW algorithm is a signature-based algorithm for computing Gr\"obner bases. If the input system is not homogeneous, some J-pairs with higher signatures but lower degrees are rejected by GVW's Syzygy Criterion, instead, GVW have to…

Symbolic Computation · Computer Science 2014-04-16 Yao Sun , Dongdai Lin , Dingkang Wang

Machine learning and pattern recognition techniques have been successfully applied to algorithmic problems in free groups. In this paper, we seek to extend these techniques to finitely presented non-free groups, with a particular emphasis…

Group Theory · Mathematics 2018-02-22 Jonathan Gryak , Robert M. Haralick , Delaram Kahrobaei

The smart card based authentication protocols try to ensure secure and authorized communication between remote entities. In 2012, Wei et al. presented an improvement of Wu et al.'s two-factor authentication scheme for TMIS which is proven…

Cryptography and Security · Computer Science 2013-12-18 Dheerendra Mishra , Ankita Chaturvedi , Sourav Mukhopadhyay

User authentication is one of the most important part of information security. Computer security most commonly depends on passwords to authenticate human users. Password authentication systems will be either been usable but not secure, or…

Cryptography and Security · Computer Science 2013-11-19 Gloriya Mathew , Shiney Thomas

Double Blind Comparison is a new cryptographic primitive that allows a user who is in possession of a ciphertext to determine if the corresponding plaintext is identical to the plaintext for a different ciphertext held by a different user,…

Cryptography and Security · Computer Science 2011-05-18 William R. Lorimer

To detect frauds from some internal participants or external attackers, some verifiable threshold quantum secret sharing schemes have been proposed. In this paper, we present a new verifiable threshold structure based on a single qubit…

Cryptography and Security · Computer Science 2020-12-02 Dan-Li Zhi , Zhi-Hui Li , Zhao-Wei Han , Li-Juan Liu

Cryptography protects users by providing functionality for the encryption of data and authentication of other users. This technology lets the receiver of an electronic message verify the sender, ensures that a message can be read only by…

Cryptography and Security · Computer Science 2011-10-10 Penmetsa V. Krishna Raja , A. S. N. Chakravarthy , P. S. Avadhani

We study the problems of testing isomorphism of polynomials, algebras, and multilinear forms. Our first main results are average-case algorithms for these problems. For example, we develop an algorithm that takes two cubic forms $f, g\in…

Data Structures and Algorithms · Computer Science 2023-06-22 Joshua A. Grochow , Youming Qiao , Gang Tang

Generative AI has revolutionized modern machine learning by providing unprecedented realism, diversity, and efficiency in data generation. This technology holds immense potential for biometrics, including for securing sensitive and…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Babak Poorebrahim Gilkalaye , Shubhabrata Mukherjee , Reza Derakhshani

Key substitution vulnerable signature schemes are signature schemes that permit an intruder, given a public verification key and a signed message, to compute a pair of signature and verification keys such that the message appears to be…

Cryptography and Security · Computer Science 2007-10-31 Yannick Chevalier , Mounira Kourjieh

Applying the Fiat-Shamir transform on identification schemes is one of the main ways of constructing signature schemes. While the classical security of this transformation is well understood, it is only very recently that generic results…

Quantum Physics · Physics 2021-03-17 André Chailloux

We show that the Modified Matrix Modular Cryptosystem proposed by S.K. Rososhek is not secure against the attack based on the linear decomposition method. The security of the encryption scheme in the Rososhek's system is based on the mix of…

Cryptography and Security · Computer Science 2018-11-27 Vitaliĭ Roman'kov

In a variety of applications, there is a need to authenticate content that has experienced legitimate editing in addition to potential tampering attacks. We develop one formulation of this problem based on a strict notion of security, and…

Information Theory · Computer Science 2007-07-13 Emin Martinian , Gregory W. Wornell , Brian Chen

The synchronisation of Tree Parity Machines (TPMs), has proven to provide a valuable alternative concept for secure symmetric key exchange. Yet, from a cryptographer's point of view, authentication is at least as important as a secure…

Cryptography and Security · Computer Science 2007-05-23 Markus Volkmer , André Schaumburg

We give a quantum algorithm for a novel type of black-box problem: identifying a hidden $d$-regular base graph $G$ on $n$ vertices from oracle access to an obfuscated version of it, rather than traversing it. From $G$ we build the spired…

Quantum Physics · Physics 2026-05-13 Pawel Wocjan

In previous work, we developed a single Evolutionary Algorithm (EA) to solve random instances of the Anshel-Anshel-Goldfeld (AAG) key exchange protocol over polycyclic groups. The EA consisted of six simple heuristics which manipulated…

Group Theory · Mathematics 2021-12-02 Matthew J. Craven , John R. Woodward

Yeh et al. recently have proposed a mutual authentication protocol based on EPC Class-1 Gen.-2 standard [1]. They have claimed that their protocol is secure against adversarial attacks and also provides forward secrecy. In this paper we…

Cryptography and Security · Computer Science 2011-02-07 Mohammad Hassan Habibi , Mahmud Gardeshi , Mahdi R. Alaghband