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Related papers: A linear decomposition attack

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We show that a linear decomposition attack based on the decomposition method introduced by the first author in monography "Algebraic cryptography" and in a series of papers works by finding the exchanging key in the Abdrecut's protocol.

Group Theory · Mathematics 2015-07-07 Vitaliǐ Roman'kov , Anton Menshov

We present a structural attack on the DME cryptosystem with paramenters (3,2,q). The attack recovers 10 of the 12 coefficients of the first linear map. We also show that, if those 12 coefficients were known, the rest of the private key can…

Information Theory · Computer Science 2020-02-26 Martin Avendano , Miguel A. Marco-Buzunariz

Scientific collaborations benefit from collaborative learning of distributed sources, but remain difficult to achieve when data are sensitive. In recent years, privacy preserving techniques have been widely studied to analyze distributed…

Cryptography and Security · Computer Science 2022-06-30 Guanhong Miao , A. Adam Ding , Samuel S. Wu

Combining data from varied sources has considerable potential for knowledge discovery: collaborating data parties can mine data in an expanded feature space, allowing them to explore a larger range of scientific questions. However, data…

Machine Learning · Computer Science 2019-11-11 Erik-Jan van Kesteren , Chang Sun , Daniel L. Oberski , Michel Dumontier , Lianne Ippel

In all existing protocols of private communication with encryption and decryption, the pre-shared key can be used for only one time. We give a deterministic quantum key expansion protocol where the pre-shared key can be recycled. Our…

Quantum Physics · Physics 2007-05-23 X. B. Wang

Encryption schemes often derive their power from the properties of the underlying algebra on the symbols used. Inspired by group theoretic tools, we use the centralizer of a subgroup of operations to present a private-key quantum…

Quantum Physics · Physics 2020-02-21 Si-Hui Tan , Joshua A. Kettlewell , Yingkai Ouyang , Lin Chen , Joseph F. Fitzsimons

In this paper, we address the problem of secure distributed computation in scenarios where user data is not uniformly distributed, extending existing frameworks that assume uniformity, an assumption that is challenging to enforce in data…

Information Theory · Computer Science 2025-01-28 Saar Tarnopolsky , Zirui , Deng , Vinayak Ramkumar , Netanel Raviv , Alejandro Cohen

Reconstruction attacks allow an adversary to regenerate data samples of the training set using access to only a trained model. It has been recently shown that simple heuristics can reconstruct data samples from language models, making this…

Machine Learning · Computer Science 2022-02-16 Pierre Stock , Igor Shilov , Ilya Mironov , Alexandre Sablayrolles

Cancelable biometric schemes aim at generating secure biometric templates by combining user specific tokens, such as password, stored secret or salt, along with biometric data. This type of transformation is constructed as a composition of…

Cryptography and Security · Computer Science 2022-07-19 Axel Durbet , Pascal Lafourcade , Denis Migdal , Kevin Thiry-Atighehchi , Paul-Marie Grollemund

We show that an attack based on the linear decomposition method introduced by the author can be efficiently applied to the new version of the MOR scheme proposed in \cite{BMSS}. We draw attention to some inaccuracies in the description of…

Cryptography and Security · Computer Science 2019-11-05 Vitaly Roman'kov

In this paper we show that in the case where the public-key can be distinguished from a random code in Loidreau's encryption scheme, then Coggia-Couvreur attack can be extended to recover an equivalent secret key. This attack can be…

Cryptography and Security · Computer Science 2021-12-24 Pierre Loidreau , Ba-Duc Pham

The discrete logarithm in a finite group of large order has been widely applied in public key cryptosystem. In this paper, we will present a probabilistic algorithm for discrete logarithm.

Cryptography and Security · Computer Science 2009-03-21 An-Ping Li

Cryptographic protocols are the cornerstone of security in distributed systems. The formal analysis of their properties is accordingly one of the focus points of the security community, and is usually split among two groups. In the first…

Logic in Computer Science · Computer Science 2011-05-10 Yannick Chevalier

General cryptographic schemes are presented where keys can be one-time or ephemeral. Processes for key exchange are derived. Public key cryptographic schemes based on the new systems are easily established. Authentication and signature…

Cryptography and Security · Computer Science 2020-04-13 Ted Hurley

DAGS scheme is a key encapsulation mechanism (KEM) based on quasi-dyadic alternant codes that was submitted to NIST standardization process for a quantum resistant public key algorithm. Recently an algebraic attack was devised by Barelli…

Cryptography and Security · Computer Science 2021-03-05 Magali Bardet , Manon Bertin , Alain Couvreur , Ayoub Otmani

In this paper, we present a deterministic attack on (EC)DSA signature scheme, providing that several signatures are known such that the corresponding ephemeral keys share a certain amount of bits without knowing their value. By eliminating…

Cryptography and Security · Computer Science 2023-07-11 M. Adamoudis , K. A. Draziotis , D. Poulakis

Chebyshev polynomials have been recently proposed for designing public-key systems. Indeed, they enjoy some nice chaotic properties, which seem to be suitable for use in Cryptography. Moreover, they satisfy a semi-group property, which…

Cryptography and Security · Computer Science 2007-05-23 Pina Bergamo , Paolo D'Arco , Alfredo De Santis , Ljupco Kocarev

An improved design of a cryptosystem based on small Ree groups is proposed. We have changed the encryption algorithm and propose to use a logarithmic signature for the entire Ree group. This approach improves security against sequential key…

Cryptography and Security · Computer Science 2025-04-28 Gennady Khalimov , Yevgen Kotukh

Reducing the conditions under which a given set satisfies the stipulations of the subset sum proposition to a set of linear relationships, the question of whether a set satisfies subset sum may be answered in a polynomial number of steps by…

Data Structures and Algorithms · Computer Science 2017-05-16 Aubrey Alston

A recent paper by Coggia and Couvreur presents a polynomial time key-recovery attack on Loidreau's encryption scheme, based on rank-metric codes, for some parameters. The secret matrix component of Loidreau's scheme is chosen over a…

Information Theory · Computer Science 2021-11-29 Anirban Ghatak