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We extend Rabin's cryptosystem to general number fields. We show that decryption of a random plaintext is as hard as the integer factorisation problem, provided the modulus in our scheme has been chosen carefully. We investigate the…

Cryptography and Security · Computer Science 2025-06-12 Alessandro Cobbe , Andreas Nickel , Akay Schuster

The Rabin public-key cryptosystem is revisited with a focus on the problem of identifying the encrypted message unambiguously for any pair of primes. In particular, a deterministic scheme using quartic reciprocity is described that works…

Number Theory · Mathematics 2013-11-05 Michele Elia , Matteo Piva , Davide Schipani

The square root modulo problem is a known primitive in designing an asymmetric cryptosystem. It was first attempted by Rabin. Decryption failure of the Rabin cryptosystem caused by the 4-to-1 decryption output is overcome efficiently in…

Information Theory · Computer Science 2012-11-15 M. R. K. Ariffin , M. A. Asbullah , N. A. Abu

In this paper we present a new efficient algorithm for factoring the RSA and the Rabin moduli in the particular case when the difference between their two prime factors is bounded. As an extension, we also give some theoretical results on…

Cryptography and Security · Computer Science 2013-03-22 Omar Khadir

We introduce a new probabilistic public-key cryptosystem which combines the main ingredients of the well-known RSA and Rabin cryptosystems. We investigate the security and performance of our new scheme in comparison to the other two.

Cryptography and Security · Computer Science 2024-03-26 Soeren Kleine , Andreas Nickel , Torben Ritter , Krishnan Shankar

The Rabin cryptosystem has been proposed protect the unique ID (UID) in radio-frequency identification tags. The Rabin cryptosystem is a type of lightweight public key system that is theoretetically quite secure; however it is vulnerable to…

Cryptography and Security · Computer Science 2016-03-02 Masahiro Kaminaga , Hideki Yoshikawa , Arimitsu Shikoda , Toshinori Suzuki

We propose the use of the cubic transformation for public-key applications and digital signatures. Transformations modulo a prime p or a composite n=pq, where p and q are primes, are used in such a fashion that each transformed value has…

Cryptography and Security · Computer Science 2007-07-16 Subhash Kak

We propose a framework for constructing efficient code-based encryption schemes from codes that do not hide any structure in their public matrix. The framework is in the spirit of the schemes first proposed by Alekhnovich in 2003 and based…

Cryptography and Security · Computer Science 2016-12-19 Carlos Aguilar , Olivier Blazy , Jean-Christophe Deneuville , Philippe Gaborit , Gilles Zémor

We introduce Rabia, a simple and high performance framework for implementing state-machine replication (SMR) within a datacenter. The main innovation of Rabia is in using randomization to simplify the design. Rabia provides the following…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Haochen Pan , Jesse Tuglu , Neo Zhou , Tianshu Wang , Yicheng Shen , Xiong Zheng , Joseph Tassarotti , Lewis Tseng , Roberto Palmieri

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

This paper proposes a new signature scheme based on two hard problems : the cube root extraction modulo a composite moduli (which is equivalent to the factorisation of the moduli, IFP) and the discrete logarithm problem(DLP). By combining…

Cryptography and Security · Computer Science 2012-09-24 Abdoul Aziz Ciss , Ahmed Youssef Ould Cheikh

We show how to produce a fast quantum Rabi model with trapped ions. Its importance resides not only in the acceleration of the phenomena that may be achieved with these systems, from quantum gates to the generation of nonclassical states of…

Quantum Physics · Physics 2016-08-30 H. M. Moya-Cessa

This paper introduces a new public key cryptosystem based on two hard problems : the cube root extraction modulo a composite moduli (which is equivalent to the factorisation of the moduli) and the discrete logarithm problem. These two hard…

Cryptography and Security · Computer Science 2012-09-25 Abdoul Aziz Ciss , Ahmed Youssef Ould Cheikh , Djiby Sow

Rabin encryption and a secure ownership transfer protocol based on the difficulty of factorization of a public key use a small public exponent. Such encryption requires random number padding. The Coppersmith's shortpad attack works…

Cryptography and Security · Computer Science 2019-03-19 Masahiro Kaminaga , Toshinori Suzuki , Masaharu Fukase

In this paper, we describe a robust quantum cryptography scheme with a heralded single photon source based on the decoy-state method, which has been shown by numerical simulations to be advantageous compared with many other practical…

Information security is a crucial need in the modern world. Data security is a real concern, and many customers and organizations need to protect their sensitive information from unauthorized parties and attackers. In previous years,…

Cryptography and Security · Computer Science 2023-07-19 Sara Benatmane , Nuh Aydin , Behloul Djilali , Prokash Barman

A diagonalization scheme for the Rabi Hamiltonian, which describes a qubit interacting with a single-mode radiation field via a dipole interaction, is proposed. It is shown that the Rabi Hamiltonian can be solved almost exactly using a…

Quantum Physics · Physics 2015-05-18 Feng Pan , Xin Guan , Yin Wang , J. P. Draayer

Oblivious transfer between two untrusting parties is an important primitive in cryptography. There are different variants of oblivious transfer. In Rabin oblivious transfer, the sender Alice holds a bit, and the receiver Bob either obtains…

Quantum Physics · Physics 2024-10-08 Lara Stroh , James T. Peat , Mats Kroneberg , Ittoop V. Puthoor , Erika Andersson

We present a compact quantum circuit for factoring a large class of integers, including some whose classical hardness is expected to be equivalent to RSA (but not including RSA integers themselves). Most notably, we factor $n$-bit integers…

We present a code-based public-key cryptosystem, in which we use Reed-Solomon codes over an extension field as secret codes and disguise it by considering its shortened expanded code over the base field. Considering shortened expanded codes…

Cryptography and Security · Computer Science 2020-05-12 Karan Khathuria , Joachim Rosenthal , Violetta Weger
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