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We consider a one-time digital signature scheme recently proposed by Persichetti and show that a successful key recovery attack can be mounted with limited complexity. The attack we propose exploits a single signature intercepted by the…

Cryptography and Security · Computer Science 2019-01-25 Paolo Santini , Marco Baldi , Franco Chiaraluce

The security of public-key cryptosystems is mostly based on number theoretic problems like factorization and the discrete logarithm. There exists an algorithm which solves these problems in polynomial time using a quantum computer. Hence,…

Information Theory · Computer Science 2015-11-30 Sven Puchinger , Sven Müelich , Karim Ishak , Martin Bossert

We present novel homomorphic encryption schemes for integer arithmetic, intended for use in secure single-party computation in the cloud. These schemes are capable of securely computing only low degree polynomials homomorphically, but this…

Cryptography and Security · Computer Science 2017-02-27 James Dyer , Martin Dyer , Jie Xu

Quantum computers can break the RSA and El Gamal public-key cryptosystems, since they can factor integers and extract discrete logarithms. If we believe that quantum computers will someday become a reality, we would like to have…

Cryptography and Security · Computer Science 2010-10-19 Hang Dinh , Cristopher Moore , Alexander Russell

In the last decade, a number of public key cryptosystems based on com- binatorial group theoretic problems in braid groups have been proposed. We survey these cryptosystems and some known attacks on them. This survey includes: Basic facts…

Cryptography and Security · Computer Science 2009-09-29 David Garber

Whilst lattice-based cryptosystems are believed to be resistant to quantum attack, they are often forced to pay for that security with inefficiencies in implementation. This problem is overcome by ring- and module-based schemes such as…

Cryptography and Security · Computer Science 2022-06-10 Christian Porter , Andrew Mendelsohn , Cong Ling

Quantum secure signature schemes have a lot of attention recently, in particular because of the NIST call to standardize quantum safe cryptography. However, only few signature schemes can have concrete quantum security because of technical…

Quantum Physics · Physics 2017-09-21 André Chailloux , Thomas Debris-Alazard

Modern information communications use cryptography to keep the contents of communications confidential. RSA (Rivest-Shamir-Adleman) cryptography and elliptic curve cryptography, which are public-key cryptosystems, are widely used…

Cryptography and Security · Computer Science 2023-10-09 Yuri Lucas Direbieski , Hiroki Tanioka , Kenji Matsuura , Hironori Takeuchi , Masahiko Sano , Tetsushi Ueta

In this paper, we propose a quasigroup based block cipher design. The round functions of the encryption and decryption algorithms use quasigroup based string transformations. We show the robustness of the design against the standard…

Cryptography and Security · Computer Science 2021-12-15 Sharwan K. Tiwari , Ambrish Awasthi , Sucheta Chkrabarti , Sudha Yadav

Because of their interesting algebraic properties, several authors promote the use of generalized Reed-Solomon codes in cryptography. Niederreiter was the first to suggest an instantiation of his cryptosystem with them but Sidelnikov and…

Cryptography and Security · Computer Science 2014-03-31 Alain Couvreur , Philippe Gaborit , Valérie Gauthier-Umaña , Ayoub Otmani , Jean-Pierre Tillich

In this paper, we present a variant of Waters' Identity-Based Encryption scheme with a much smaller public-key size (only a few kilobytes). We show that this variant is semantically secure against passive adversaries in the standard…

Cryptography and Security · Computer Science 2007-05-23 David Naccache

Most modern cryptographic systems, such as RSA and the Diffie-Hellman Key Exchange, rely on "trapdoor" mathematical functions that are presumed to be computationally difficult with existing tools. However, quantum computers will be able to…

Cryptography and Security · Computer Science 2025-05-15 Alexander Meyer

This article introduces a novel cryptographic paradigm based on nonderived polyadic algebraic structures. Traditional cryptosystems rely on binary operations within groups, rings, or fields, whose well-understood properties can be exploited…

Cryptography and Security · Computer Science 2025-12-17 Steven Duplij , Na Fu , Qiang Guo

In 2002, Johnson et al. posed an open problem at the Cryptographers' Track of the RSA Conference: how to construct a secure homomorphic signature on a semigroup, rather than on a group. In this paper, we introduce, for the first time, a…

Cryptography and Security · Computer Science 2025-03-24 Heng Guo , Kun Tian , Fengxia Liu , Zhiyong Zheng

In this paper, we present a new diverse class of post-quantum group-based Digital Signature Schemes (DSS). The approach is significantly different from previous examples of group-based digital signatures and adopts the framework of group…

Cryptography and Security · Computer Science 2023-06-28 Christopher Battarbee , Delaram Kahrobaei , Ludovic Perret , Siamak F. Shahandashti

We consider the secure computation problem in a minimal model, where Alice and Bob each holds an input and wish to securely compute a function of their inputs at Carol without revealing any additional information about the inputs. For this…

Information Theory · Computer Science 2021-11-24 Yizhou Zhao , Hua Sun

The length-based approach is a heuristic for solving randomly generated equations in groups which possess a reasonably behaved length function. We describe several improvements of the previously suggested length-based algorithms, that make…

Cryptography and Security · Computer Science 2010-08-02 Dima Ruinskiy , Adi Shamir , Boaz Tsaban

We analyze the security and reliability of a recently proposed class of public-key cryptosystems against attacks by unauthorized parties who have acquired partial knowledge of one or more of the private key components and/or of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 N. S. Skantzos , D. Saad , Y. Kabashima

The modified Paillier cryptosystem has become extremely popular and applied in many fields, owning to its additive homomorphism. This cryptosystem provides weak private keys and a strong private key. A weak private key only can decrypt…

Cryptography and Security · Computer Science 2019-12-20 Xiaojuan Dong , Weiming Zhang , Mohsin Shah , Bei Wang , Nenghai Yu

A secure and reliable image encryption scheme is presented in this study. The encryption scheme hereby introduces a novel chaotic log-map, deep convolution neural network (CNN) model for key generation, and bit reversion operation for the…

Information Theory · Computer Science 2022-02-01 Uğur Erkan , Abdurrahim Toktas , Serdar Enginoğlu , Enver Karabacak , Dang N. H. Thanh