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Let $G$ be a group endowed with a solution to the conjugacy problem and with an algorithm which computes the centralizer in $G$ of any element of $G$. Let $H$ be a subgroup of $G$. We give some conditions on $H$, under which we provide a…

群论 · 数学 2007-05-23 Nuno Franco

The public key cryptosystem based on rank error correcting codes (the GPT cryptosystem) was proposed in 1991. Use of rank codes in cryptographic applications is advantageous since it is practically impossible to utilize combinatoric…

密码学与安全 · 计算机科学 2016-11-17 Ernst M. Gabidulin , Haitham Rashwan , Bahram Honary

Jailbreaking techniques pose a significant threat to the safety of Large Language Models (LLMs). Existing defenses typically focus on single-turn attacks, lack coverage across languages, and rely on limited taxonomies that either fail to…

计算与语言 · 计算机科学 2026-02-05 Francesco Giarrusso , Olga E. Sorokoletova , Vincenzo Suriani , Daniele Nardi

We give an algorithm to decide whether a given braid with four strings is a product of three factors which are conjugates of standard generators of the braid group. The algorithm is of polynomial time. It is based on the Garside theory. We…

群论 · 数学 2024-12-04 Stepan Yu. Orevkov

The study of the trapdoors that can be hidden in a block cipher is and has always been a high-interest topic in symmetric cryptography. In this paper we focus on Feistel-network-like ciphers in a classical long-key scenario and we…

群论 · 数学 2022-05-25 Riccardo Aragona , Marco Calderini , Roberto Civino

In this work, we introduce an active attack on a Group Key Exchange protocol by Burmester and Desmedt. The attacker obtains a copy of the shared key, which is created in a collaborative manner with the legal users in a communication group.

密码学与安全 · 计算机科学 2016-03-31 Mohamed Baouch , Juan Antonio López-Ramos , Reto Schnyder , Blas Torrecillas

In the recently emerging field of group-based cryptography, the Conjugacy Search Problem (CSP) has gained traction as a non-commutative replacement of the Discrete Log Problem (DLP). The problem of finding a secure class of nonabelian…

密码学与安全 · 计算机科学 2022-03-08 Simran Tinani

Graph-based Anomaly Detection (GAD) is becoming prevalent due to the powerful representation abilities of graphs as well as recent advances in graph mining techniques. These GAD tools, however, expose a new attacking surface, ironically due…

机器学习 · 计算机科学 2022-01-07 Yulin Zhu , Yuni Lai , Kaifa Zhao , Xiapu Luo , Mingquan Yuan , Jian Ren , Kai Zhou

Baldi et \textit{al.} proposed a variant of McEliece's cryptosystem. The main idea is to replace its permutation matrix by adding to it a rank 1 matrix. The motivation for this change is twofold: it would allow the use of codes that were…

密码学与安全 · 计算机科学 2012-05-01 Valérie Gauthier , Ayoub Otmani , Jean-Pierre Tillich

Verifiable learning advocates for training machine learning models amenable to efficient security verification. Prior research demonstrated that specific classes of decision tree ensembles -- called large-spread ensembles -- allow for…

机器学习 · 计算机科学 2024-02-26 Stefano Calzavara , Lorenzo Cazzaro , Claudio Lucchese , Giulio Ermanno Pibiri

We consider actions of a group or a semigroup on a set, which generalize the setup of discrete logarithm based cryptosystems. Such cryptographic group actions have gained increasing attention recently in the context of isogeny-based…

密码学与安全 · 计算机科学 2023-01-05 Oliver W. Gnilke , Jens Zumbrägel

In this paper, we propose a new key-based defense focusing on both efficiency and robustness. Although the previous key-based defense seems effective in defending against adversarial examples, carefully designed adaptive attacks can bypass…

计算机视觉与模式识别 · 计算机科学 2023-09-06 AprilPyone MaungMaung , Isao Echizen , Hitoshi Kiya

Large language models (LLMs) are vulnerable to jailbreak attacks - resulting in harmful, unethical, or biased text generations. However, existing jailbreaking methods are computationally costly. In this paper, we propose the weak-to-strong…

计算与语言 · 计算机科学 2025-07-25 Xuandong Zhao , Xianjun Yang , Tianyu Pang , Chao Du , Lei Li , Yu-Xiang Wang , William Yang Wang

As powerful Large Language Models (LLMs) are now widely used for numerous practical applications, their safety is of critical importance. While alignment techniques have significantly improved overall safety, LLMs remain vulnerable to…

机器学习 · 计算机科学 2024-10-28 Samuel Jacob Chacko , Sajib Biswas , Chashi Mahiul Islam , Fatema Tabassum Liza , Xiuwen Liu

We discuss the ``Infinitely Many Paraphrases'' attacks (IMP), a category of jailbreaks that leverages the increasing capabilities of a model to handle paraphrases and encoded communications to bypass their defensive mechanisms. IMPs'…

机器学习 · 计算机科学 2025-03-14 Oliver Goldstein , Emanuele La Malfa , Felix Drinkall , Samuele Marro , Michael Wooldridge

Post-Quantum Cryptography PQC attempts to find cryptographic protocols resistant to attacks using Shors polynomial time algorithm for numerical field problems or Grovers algorithm to find the unique input to a black-box function that…

密码学与安全 · 计算机科学 2020-08-04 Pedro Hecht

As large language models (LLMs) are increasingly deployed in critical applications, ensuring their robustness and safety alignment remains a major challenge. Despite the overall success of alignment techniques such as reinforcement learning…

机器学习 · 计算机科学 2025-08-21 Sajib Biswas , Mao Nishino , Samuel Jacob Chacko , Xiuwen Liu

We introduce a generalized Anshel-Anshel-Goldfeld (AAG) key establishment protocol (KEP) for magmas. This leads to the foundation of non-associative public-key cryptography (PKC), generalizing the concept of non-commutative PKC. We show…

密码学与安全 · 计算机科学 2012-11-01 Arkadius Kalka

We provide a simple description of the most general collective Gaussian attack in continuous-variable quantum cryptography. In the scenario of such general attacks, we analyze the asymptotic secret-key rates which are achievable with…

量子物理 · 物理学 2008-12-03 Stefano Pirandola , Samuel L. Braunstein , Seth Lloyd

While convenient, relying on LLM-powered code assistants in day-to-day work gives rise to severe attacks. For instance, the assistant might introduce subtle flaws and suggest vulnerable code to the user. These adversarial code-suggestions…

密码学与安全 · 计算机科学 2024-10-15 Karl Rubel , Maximilian Noppel , Christian Wressnegger