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We propose variations of the class of hidden monomial cryptosystems in order to make it resistant to all known attacks. We use identities built upon a single bivariate polynomial equation with coefficients in a finite field. Indeed, it can…

Cryptography and Security · Computer Science 2007-05-23 Ilia Toli

We present three simple and efficient protocol constructions to solve Yao's Millionaire Problem when the parties involved are non-colluding and semi-honest. The first construction uses a partially homomorphic Encryption Scheme and is a…

Cryptography and Security · Computer Science 2013-10-31 Ashish Kumar , Anupam Gupta

This paper is an attempt to build a new public-key cryptosystem; similar to the McEliece cryptosystem, using permutation error-correcting codes. We study a public-key cryptosystem built using two permutation error-correcting codes. We show…

Information Theory · Computer Science 2023-09-11 Adarsh Srinivasan , Ayan Mahalanobis

In privacy under continual observation we study how to release differentially private estimates based on a dataset that evolves over time. The problem of releasing private prefix sums of $x_1,x_2,x_3,\dots \in\{0,1\}$ (where the value of…

Machine Learning · Computer Science 2024-01-17 Joel Daniel Andersson , Rasmus Pagh

Key substitution vulnerable signature schemes are signature schemes that permit an intruder, given a public verification key and a signed message, to compute a pair of signature and verification keys such that the message appears to be…

Cryptography and Security · Computer Science 2007-10-31 Yannick Chevalier , Mounira Kourjieh

We propose a definition for the information theoretic security of a quantum public-key encryption scheme, and present bit-oriented and two-bit-oriented encryption schemes satisfying our security definition via the introduction of a new…

Quantum Physics · Physics 2015-03-17 Jiangyou Pan , Li Yang

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

We propose a symmetric key homomorphic encryption scheme based on the evaluation of multivariate polynomials over a finite field. The proposed scheme is somewhat homomorphic with respect to addition and multiplication. Further, we define a…

Cryptography and Security · Computer Science 2019-02-18 Uddipana Dowerah , Srinivasan Krishnaswamy

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

Chosen-ciphertext security, which guarantees confidentiality of encrypted messages even in the presence of a decryption oracle, has become the defacto notion of security for public-key encryption under active attack. In this manuscript, for…

Cryptography and Security · Computer Science 2014-04-08 Roohallah Rastaghi

With the advantages of both classical and quantum secret sharing, many practical hybrid quantum secret sharing have been proposed. In this paper, we propose a hybrid quantum secret sharing scheme based on mutually unbiased bases and…

Quantum Physics · Physics 2020-06-24 Dan-Li Zhi , Zhu-Hui Li , Li-juan Liu , Zhao-Wei Han

Privacy techniques have been developed for data-driven systems, but systems with non-numeric data cannot use typical noise-adding techniques. Therefore, we develop a new mechanism for privatizing state trajectories of symbolic systems that…

Cryptography and Security · Computer Science 2026-04-01 Alexander Benvenuti , Huaiyuan Rao , Matthew Hale

We show that some problems in information security can be solved without using one-way functions. The latter are usually regarded as a central concept of cryptography, but the very existence of one-way functions depends on difficult…

Cryptography and Security · Computer Science 2013-01-23 Dima Grigoriev , Vladimir Shpilrain

The shuffle model of differential privacy was proposed as a viable model for performing distributed differentially private computations. Informally, the model consists of an untrusted analyzer that receives messages sent by participating…

Cryptography and Security · Computer Science 2020-09-29 Amos Beimel , Iftach Haitner , Kobbi Nissim , Uri Stemmer

This paper provides a simple variation of the basic ideas of the BB84 quantum cryptographic scheme leading to a method of key expansion. A secure random sequence (the bases sequence) determines the encoding bases in a proposed scheme. Using…

Quantum Physics · Physics 2009-10-30 Won Young Hwang , In Gyu Koh , Yeong Deok Han

This paper proposes an efficient secret key cryptosystem based on polar codes over Binary Erasure Channel. We introduce a method, for the first time to our knowledge, to hide the generator matrix of the polar codes from an attacker. In…

Cryptography and Security · Computer Science 2013-08-02 Reza Hooshmand , Masoumeh Koochak Shooshtari , Mohammad Reza Aref

Private Information Retrieval (PIR) schemes enable users to securely retrieve files from a server without disclosing the content of their queries, thereby preserving their privacy. In 2008, Melchor and Gaborit proposed a PIR scheme that…

Cryptography and Security · Computer Science 2025-05-12 Svenja Lage

We present a quantum public-key cryptosystem based on a classical NP-complete problem related with finding a code word of a given weight in a linear binary code.

Quantum Physics · Physics 2007-05-23 Li Yang

In this paper, we present an unconditionally secure $N$-party comparison scheme based on Shamir secret sharing, utilizing the binary representation of private inputs to determine the $\max$ without disclosing any private inputs or…

Cryptography and Security · Computer Science 2024-10-23 Seyed Reza Hoseini Najarkolaei , Mohammad Mahdi Mojahedian , Mohammad Reza Aref

In this paper, we study the Learning With Errors problem and its binary variant, where secrets and errors are binary or taken in a small interval. We introduce a new variant of the Blum, Kalai and Wasserman algorithm, relying on a…

Cryptography and Security · Computer Science 2015-07-01 Paul Kirchner , Pierre-Alain Fouque