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Threshold cryptography has gained momentum in the last decades as a mechanism to protect long term secret keys. Rather than having a single secret key, this allows to distribute the ability to perform a cryptographic operation such as…

Cryptography and Security · Computer Science 2024-08-30 Florian Le Mouël , Maxime Godon , Renaud Brien , Erwan Beurier , Nora Boulahia-Cuppens , Frédéric Cuppens

Cryptographic systems are derived using units in group rings. Combinations of types of units in group rings give units not of any particular type. This includes cases of taking powers of units and products of such powers and adds the…

Group Theory · Mathematics 2020-04-14 Barry Hurley , Ted Hurley

We give new arguments in support of \emph{signed quantum key establishment}, where quantum cryptography is used in a public-key infrastructure that provides the required authentication. We also analyze more thoroughly than previous works…

Quantum Physics · Physics 2013-03-13 Lawrence M. Ioannou , Michele Mosca

Unclonable encryption, introduced by Broadbent and Lord (TQC'20), is an encryption scheme with the following attractive feature: given a ciphertext, an adversary cannot create two ciphertexts both of which decrypt to the same message as the…

Cryptography and Security · Computer Science 2021-09-16 Prabhanjan Ananth , Fatih Kaleoglu

The iterative conditional branchings appear in various sensitive algorithms, like the modular exponentiation in the RSA cryptosystem or the scalar multiplication in ellipticcurve cryptography. In this paper, we abstract away the desirable…

Cryptography and Security · Computer Science 2021-03-09 Yoann Marquer , Tania Richmond , Pascal Véron

The theory of finite simple groups is a (rather unexplored) area likely to provide interesting computational problems and modelling tools useful in a cryptographic context. In this note, we review some applications of finite non-abelian…

Group Theory · Mathematics 2023-08-29 María Isabel González Vasco , Delaram Kahrobaei , Eilidh McKemmie

A new proposal for group key exchange is introduced which proves to be both efficient and secure and compares favorably with state of the art protocols.

Information Theory · Computer Science 2016-10-31 Juan Antonio Lopez-Ramos , Joachim Rosenthal , Davide Schipani , Reto Schnyder

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

The rise of pre-trained unified foundation models breaks down the barriers between different modalities and tasks, providing comprehensive support to users with unified architectures. However, the backdoor attack on pre-trained models poses…

Cryptography and Security · Computer Science 2023-02-27 Zenghui Yuan , Yixin Liu , Kai Zhang , Pan Zhou , Lichao Sun

We introduce a formal notion of defendability against backdoors using a game between an attacker and a defender. In this game, the attacker modifies a function to behave differently on a particular input known as the "trigger", while…

Machine Learning · Computer Science 2025-02-12 Paul Christiano , Jacob Hilton , Victor Lecomte , Mark Xu

Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using Shor polynomial time algorithm for numerical field problems or Grover search algorithm. A mostly overlooked but valuable line of solutions…

Cryptography and Security · Computer Science 2018-10-26 Pedro Hecht

Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using Shor polynomial time algorithm for numerical field problems or Grover search algorithm. A mostly overlooked but valuable line of solutions…

Cryptography and Security · Computer Science 2019-04-23 P. Hecht

We provide a new property, called Non-Type-Preserving, for a mixing layer which guarantees protection against algebraic attacks based on the imprimitivity of the group generated by the round functions. Our main result is to present…

Group Theory · Mathematics 2019-01-16 Riccardo Aragona , Alessio Meneghetti

We obfuscate words of a given length in a free monoid on two generators with a simple factorization algorithm (namely $SL_2(\mathbb{N})$) to create a public-key encryption scheme. We provide a reference implementation in Python and…

Cryptography and Security · Computer Science 2024-09-13 Robert Hines

Quantum-proof randomness extractors are an important building block for classical and quantum cryptography as well as device independent randomness amplification and expansion. Furthermore they are also a useful tool in quantum Shannon…

Quantum Physics · Physics 2017-05-05 Mario Berta , Omar Fawzi , Volkher B. Scholz

Blind signatures play an important role in both electronic cash and electronic voting systems. Blind signatures should be secure against various attacks (such as signature forgeries). The work puts a special attention to secret key exposure…

Cryptography and Security · Computer Science 2020-07-15 Huy Quoc Le , Dung Hoang Duong , Willy Susilo , Ha Thanh Nguyen Tran , Viet Cuong Trinh , Josef Pieprzyk , Thomas Plantard

The rapid proliferation of open-source language models significantly increases the risks of downstream backdoor attacks. These backdoors can introduce dangerous behaviours during model deployment and can evade detection by conventional…

This thesis introduces a formal general framework for scaling blockchain protocols by sharding. The framework is modular and it can be adjusted for different needs or sets of assumptions. We prove that sharded protocols obtained by…

Cryptography and Security · Computer Science 2019-09-04 Zuphit Fidelman

Ring signatures are a powerful primitive that allows a member to sign on behalf of a group, without revealing their identity. Recently, ring signatures have received additional attention as an ingredient for post-quantum deniable…

Cryptography and Security · Computer Science 2026-02-19 Marvin Beckmann , Christian Majenz

We show the following hold, unconditionally unless otherwise stated, relative to a random oracle: - There are NP search problems solvable by quantum polynomial-time machines but not classical probabilistic polynomial-time machines. - There…

Quantum Physics · Physics 2024-11-12 Takashi Yamakawa , Mark Zhandry