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In poly alphabetic substitution the plain texts letters are enciphered differently according to their position. The name poly alphabetic suggests that there are more than one key so we have used two keys combination instead of just one, in…

Cryptography and Security · Computer Science 2013-02-21 Avinash Sharma , Anurag Bhatnagar , Nikhar Tak , Anuradha Sharma , Jitendra Avasthi , Prerna sharma

This paper proposes a new homomorphic functional encryption using modular multiplications over a hidden ring. Unlike traditional homomorphic encryption where users can only passively perform ciphertext addition or multiplication, the…

Cryptography and Security · Computer Science 2023-01-31 Randy Kuang , Maria Perepechaenko , Ryan Toth

This paper presents a new fast public key cryptosystem namel : a key exchange algorithm, a public key encryption algorithm and a digital signature algorithm, based on the difficulty to invert the following function: $$F(x) =(a\times…

Cryptography and Security · Computer Science 2021-04-27 Samir Bouftass

We consider a key exchange procedure whose security is based on the difficulty of computing discrete logarithms in a group, and where exponentiation is hidden by a conjugation. We give a platform-dependent cryptanalysis of this protocol.…

Cryptography and Security · Computer Science 2012-09-28 Mohammad Eftekhari

A new model of multi-party secret key agreement is proposed, in which one terminal called the communicator can transmit public messages to other terminals before all terminals agree on a secret key. A single-letter characterization of the…

Information Theory · Computer Science 2015-12-01 Jingbo Liu , Paul Cuff , Sergio Verdu

We analyse the impact of log a-posteriori early termination on the decoding throughput of reconciliation for continuous-variable quantum key distribution. Increases in decoded secret key rate throughput of up to 182% are reported in both…

In the papers by Alvarez et al. and Pathak and Sanghi a non-commutative based public key exchange is described. A similiar version of it has also been patented (US7184551). In this paper we present a polynomial time attack that breaks the…

Information Theory · Computer Science 2019-02-13 Giacomo Micheli

Cloud-based and distributed computations are of growing interest in modern control systems. However, these technologies require performing computations on not necessarily trustworthy platforms and, thus, put the confidentiality of sensitive…

Cryptography and Security · Computer Science 2023-04-14 Nils Schlüter , Philipp Binfet , Moritz Schulze Darup

E-values have gained prominence as flexible tools for statistical inference and risk control, enabling anytime- and post-hoc-valid procedures under minimal assumptions. However, many real-world applications fundamentally rely on sensitive…

Methodology · Statistics 2025-10-22 Daniel Csillag , Diego Mesquita

In this Letter, we present quantum secret sharing and secret splitting protocols with single photons running forth and back between the participating parties. The protocol has a high intrinsic efficiency, namely all photons except those…

Quantum Physics · Physics 2009-11-11 Fu-Guo Deng , Hong-Yu Zhou , Gui Lu Long

This paper considers the problem of secret communication over a multiple access channel with generalized feedback. Two trusted users send independent confidential messages to an intended receiver, in the presence of a passive eavesdropper.…

Information Theory · Computer Science 2016-11-18 Xiaojun Tang , Ruoheng Liu , Predrag Spasojevic , H. Vincent Poor

The wide deployment of the generative pre-trained transformer (GPT) has raised privacy concerns for both clients and servers. While cryptographic primitives can be employed for secure GPT inference to protect the privacy of both parties,…

Cryptography and Security · Computer Science 2025-05-22 Zhengyi Li , Yue Guan , Kang Yang , Yu Feng , Ning Liu , Yu Yu , Jingwen Leng , Minyi Guo

Cryptographic protocols are often based on the two main resources: private randomness and private key. In this paper, we develop a relationship between these two resources. First, we show that any state containing perfect, directly…

Quantum Physics · Physics 2020-07-21 Karol Horodecki , Ryszard P. Kostecki , Roberto Salazar , Michał Studziński

In this note, we characterize the form of an invertible quantum operation, i.e., a completely positive trace preserving linear transformation (a CPTP map) whose inverse is also a CPTP map. The precise form of such maps becomes important in…

Quantum Physics · Physics 2018-03-22 Ashwin Nayak , Pranab Sen

Mutual information is one of the essential building blocks of information theory. Yet, it is only finitely defined for distributions with fast decaying tails on a countable joint alphabet of two random elements. The unboundedness of mutual…

Information Theory · Computer Science 2019-07-15 Zhiyi Zhang

We investigate probabilistic transformations of quantum states from a `source' set to a `target' set of states. Such transforms have many applications. They can be used for tasks which include state-dependent cloning or quantum state…

Quantum Physics · Physics 2015-06-05 Vedran Dunjko , Erika Andersson

Secure multi-party computation is a central problem in modern cryptography. An important sub-class of this are problems of the following form: Alice and Bob desire to produce sample(s) of a pair of jointly distributed random variables. Each…

Information Theory · Computer Science 2010-02-10 Vinod Prabhakaran , Manoj Prabhakaran

We propose a discrete fractional random transform based on a generalization of the discrete fractional Fourier transform with an intrinsic randomness. Such discrete fractional random transform inheres excellent mathematical properties of…

Mathematical Physics · Physics 2007-05-23 Zhengjun Liu , Haifa Zhao , Shutian Liu

Recently, a quantum key exchange protocol has been described, which served as basis for securing an actual bank transaction by means of quantum cryptography [quant-ph/0404115]. Here we show, that the authentication scheme applied is…

Quantum Physics · Physics 2007-05-23 Thomas Beth , Joern Mueller-Quade , Rainer Steinwandt

The present article is devoted to the investigation of some properties of the generalized shift operator of numbers represented in terms of numeral systems with a variable alphabet.

General Mathematics · Mathematics 2019-11-28 Symon Serbenyuk