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Cryptographic Protocols (CP) are distributed algorithms intended for secure communication in an insecure environment. They are used, for example, in electronic payments, electronic voting procedures, systems of confidential data processing,…

Cryptography and Security · Computer Science 2021-09-21 Andrew M. Mironov

According to actual needs, generalized signcryption scheme can flexibly work as an encryption scheme, a signature scheme or a signcryption scheme. In this paper, firstly, we give a security model for identity based generalized signcryption…

Cryptography and Security · Computer Science 2010-04-09 Gang Yu , Xiaoxiao Ma , Yong Shen , Wenbao Han

In this paper we develop the formalism of rational complex Bezier curves. This framework is a simple extension of the CAD paradigm, since it describes arc of curves in terms of control polygons and weights, which are extended to complex…

Numerical Analysis · Mathematics 2025-12-10 A. Canton , L. Fernandez-Jambrina , M. J. Vazquez-Gallo

A fast algorithm (linear in the degrees of freedom) for the solution of linear variable-coefficient rational-order fractional integral and differential equations is described. The approach is related to the ultraspherical method for…

Numerical Analysis · Mathematics 2017-12-04 Nicholas Hale , Sheehan Olver

In this paper, we define a new product over $\mathbb{R}^{\infty}$, which allows us to obtain a group isomorphic to $\mathbb R^*$ with the usual product. This operation unexpectedly offers an interpretation of the R\'edei rational functions,…

Number Theory · Mathematics 2011-03-22 Stefano Barbero , Umberto Cerruti , Nadir Murru

We consider an application to the discrete log problem using completely regular semigroups which may provide a more secure symmetric cryptosystem than the classic system based on groups. In particular we describe a scheme that would appear…

Group Theory · Mathematics 2019-02-18 James Renshaw

We propose a Fourier domain asymmetric cryptosystem for multimodal biometric security. One modality of biometrics (such as face) is used as the plaintext, which is encrypted by another modality of biometrics (such as fingerprint). A private…

Cryptography and Security · Computer Science 2018-10-18 Debesh Choudhury

In two-party secret sharing scheme, values are typically encoded as unsigned integers $\mathsf{uint}(x)$, whereas real-world applications often require computations on signed real numbers $\mathsf{Real}(x)$. To enable secure evaluation of…

Cryptography and Security · Computer Science 2025-09-03 Hao Guo , Zhaoqian Liu , Liqiang Peng , Shuaishuai Li , Ximing Fu , Weiran Liu , Lin Qu

While modern masking schemes provide provable security against passive side-channel analysis (SCA), such as power analysis, single faults can be employed to recover the secret key of ciphers even in masked implementations. In this paper, we…

Cryptography and Security · Computer Science 2019-11-27 Keyvan Ramezanpour , Paul Ampadu , William Diehl

Outsourcing data storage to the remote cloud can be an economical solution to enhance data management in the smart grid ecosystem. To protect the privacy of data, the utility company may choose to encrypt the data before uploading them to…

Cryptography and Security · Computer Science 2018-11-01 Jiangnan Li , Xiangyu Niu , Jinyuan Stella Sun

In this paper we present new arithmetical and algebraic results following the work of Babindamana and al. on hyperbolas and describe in the new results an approach to attacking a RSA-type modulus based on continued fractions, independent…

Cryptography and Security · Computer Science 2023-05-10 Gilda Rech Bansimba , Regis Freguin Babindamana , Basile Guy R. Bossoto

In recent years there has been a great deal of work done on secret sharing scehemes. Secret Sharing Schemes allow for the division of keys so that an authorised set of users may access information. In this paper we wish to present a…

Cryptography and Security · Computer Science 2007-05-23 Liam Wagner

Most common public key cryptosystems and public key exchange protocols presently in use, such as the RSA algorithm, Diffie-Hellman, and elliptic curve methods are number theory based and hence depend on the structure of abelian groups. The…

Cryptography and Security · Computer Science 2011-03-23 Benjamin Fine , Maggie Habeeb , Delaram Kahrobaei , Gerhard Rosenberger

This paper studies how a system operator and a set of agents securely execute a distributed projected gradient-based algorithm. In particular, each participant holds a set of problem coefficients and/or states whose values are private to…

Cryptography and Security · Computer Science 2018-05-24 Yang Lu , Minghui Zhu

Sensitive applications running on the cloud often require data to be stored in an encrypted domain. To run data mining algorithms on such data, partially homomorphic encryption schemes (allowing certain operations in the ciphertext domain)…

Cryptography and Security · Computer Science 2023-08-08 Tikaram Sanyashi , Bernard Menezes

We propose an image encryption scheme based on quasi-resonant Rossby/drift wave triads (related to elliptic surfaces) and Mordell elliptic curves (MECs). By defining a total order on quasi-resonant triads, at a first stage we construct…

Cryptography and Security · Computer Science 2020-05-12 Ikram Ullah , Umar Hayat , Miguel D. Bustamante

The security of code-based cryptography relies primarily on the hardness of generic decoding with linear codes. The best generic decoding algorithms are all improvements of an old algorithm due to Prange: they are known under the name of…

Cryptography and Security · Computer Science 2017-02-09 Thomas Debris-Alazard , Jean-Pierre Tillich

In recent years, neural networks have been used to implement symmetric cryptographic functions for secure communications. Extending this domain, the proposed approach explores the application of asymmetric cryptography within a neural…

Cryptography and Security · Computer Science 2024-07-15 Mina Cecilie Wøien , Ferhat Ozgur Catak , Murat Kuzlu , Umit Cali

An efficient technique of computing on encrypted data allows a client with limited capability to perform complex operations on a remote fault-tolerant server without leaking anything about the input or output. Quantum computing provides…

Quantum Physics · Physics 2025-09-25 Mohit Joshi , Manoj Kumar Mishra , S. Karthikeyan

The secure instantiation of the random oracle is one of the major open problems in modern cryptography. We investigate this problem using concepts and methods of algorithmic randomness. In modern cryptography, the random oracle model is…

Cryptography and Security · Computer Science 2019-09-04 Kohtaro Tadaki , Norihisa Doi
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