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A concept named induced trapdoor one-way quantum transformation (OWQT) has been introduced, and a theoretical framework of public-key encryption (PKE) of quantum message is presented based on it. Then several kinds of quantum public-key…

Quantum Physics · Physics 2011-07-13 Li Yang , Min Liang , Bao Li , Lei Hu , Deng-Guo Feng

The security of communication in everyday life becomes very important. On the other hand, all existing encryption protocols require from user additional knowledge end resources. In this paper we discuss the problem of public key…

Cryptography and Security · Computer Science 2015-03-12 Krzysztof Podlaski , Artur Hłobaż , Piotr Milczarski

Public-key cryptosystems for quantum messages are considered from two aspects: public-key encryption and public-key authentication. Firstly, we propose a general construction of quantum public-key encryption scheme, and then construct an…

Quantum Physics · Physics 2012-05-11 Min Liang , Li Yang

We offer a public key exchange protocol based on a semidirect product of two cyclic (semi)groups of matrices over Z_p. One of the (semi)groups is additive, the other one multiplicative. This allows us to take advantage of both operations on…

Cryptography and Security · Computer Science 2021-03-12 Nael Rahman , Vladimir Shpilrain

A multiparty computation protocol is described in which the parties can generate different probability events that is based on the sharing of a single anonymized random number, and also perform oblivious transfer. A method to verify the…

Cryptography and Security · Computer Science 2015-06-01 Subhash Kak

Oblivious transfer, a central functionality in modern cryptography, allows a party to send two one-bit messages to another who can choose one of them to read, remaining ignorant about the other, whereas the sender does not learn the…

Quantum Physics · Physics 2007-05-23 Stefan Wolf , Jürg Wullschleger

After some excitement generated by recently suggested public key exchange protocols due to Anshel-Anshel-Goldfeld and Ko-Lee et al., it is a prevalent opinion now that the conjugacy search problem is unlikely to provide sufficient level of…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain , Gabriel Zapata

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

The purpose of the paper is to give new key agreement protocols (a multi-party extension of the protocol due to Anshel-Anshel-Goldfeld and a generalization of the Diffie-Hellman protocol from abelian to solvable groups) and a new…

Group Theory · Mathematics 2007-05-23 Dimitri Grigoriev , Ilia Ponomarenko

We consider the problem of secret key extraction when $n$ honest parties and an eavesdropper share correlated information. We present a family of probability distributions and give the full characterization of its distillation properties.…

Cryptography and Security · Computer Science 2007-07-16 Lluis Masanes , Antonio Acin

Commutative encryption is a useful but rather strict notion in cryptography. In this paper, we deny a loose variation of commutative encryption-commutative-like encryption and give an example: the generalization of ElGamal scheme. The…

Cryptography and Security · Computer Science 2010-11-17 Wei Dai

Quantum key distribution relies on quantum mechanics to securely distribute cryptographic keys, offering security but necessitating complex infrastructure and significant resources for practical implementation. Quantum keyless private…

Quantum Physics · Physics 2026-03-02 Pedro Neto Mendes , Davide Rusca , Hugo Zbinden , Emmanuel Zambrini Cruzeiro

Since 1870s, scientists have been taking deep insight into Lie groups and Lie algebras. With the development of Lie theory, Lie groups have got profound significance in many branches of mathematics and physics. In Lie theory, exponential…

Cryptography and Security · Computer Science 2016-06-13 Haibo Hong , Licheng Wang , Jun Shao , Haseeb Ahmad , Yixian Yang

We present a key-exchange protocol that comprises two parties with chaotic dynamics that are mutually coupled and undergo a synchronization process, at the end of which they can use their identical dynamical state as an encryption key. The…

Other Condensed Matter · Physics 2009-11-10 Einat Klein , Rachel Mislovaty , Ido Kanter , Wolfgang Kinzel

Multi-secret sharing is an extension of secret sharing technique where several secrets are shared between the participants, each according to a specified access structure. The secrets can be reconstructed according to the access structure…

Cryptography and Security · Computer Science 2014-07-25 V. P. Binu , A. Sreekumar

We develop a simple compiler that generically adds publicly-verifiable deletion to a variety of cryptosystems. Our compiler only makes use of one-way functions (or one-way state generators, if we allow the public verification key to be…

Quantum Physics · Physics 2023-10-11 James Bartusek , Dakshita Khurana , Giulio Malavolta , Alexander Poremba , Michael Walter

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

In this paper, some more properties of the generalized principal pivot transform are derived. Necessary and sufficient conditions for the equality between Moore-Penrose inverse of a generalized principal pivot transform and its…

Functional Analysis · Mathematics 2021-08-13 K. Kamaraj , P. Sam Johnson , Sachin Manjunath Naik

An exact, one-to-one transform is presented that not only allows digital circular convolutions, but is free from multiplications and quantisation errors for transform lengths of arbitrary powers of two. The transform is analogous to the…

Numerical Analysis · Computer Science 2010-05-11 Shekhar S. Chandra

Based on quantum encryption, we present a new idea for quantum public-key cryptography (QPKC) and construct a whole theoretical framework of a QPKC system. We show that the quantum-mechanical nature renders it feasible and reasonable to use…

Quantum Physics · Physics 2009-12-23 Fei Gao , Qiao-Yan Wen , Su-Juan Qin , Fu-Chen Zhu
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