scholarly journals On Public-key Cryptosystem Based on the Problem of Solving a Non-Linear System of Polynomial Equations

2020 ◽  
Vol 8 ◽  
pp. 106-110
Author(s):  
Nacer Ghadbane
Keyword(s):  
Linear System ◽  
Public Key ◽  
Public Key Cryptosystem ◽  
Polynomial Equations ◽  
The Public ◽  
Public Key Cryptosystems ◽  
Multivariate Cryptography ◽  
Non Linear ◽  
System Of Polynomial Equations ◽  
Non Linear System

The basic idea behind multivariate cryptography is to choose a system of polynomials which can be easily inverted (central map). After that one chooses two affine invertible maps to hide the structure of the central map. Fellows and Koblitz outlined a conceptual key cryptosystem based on the hardness of POSSO. Let Fp s be a finite field of p s elements, where p is a prime number, and s ∈ N, s ≥ 1. In this paper, we used the act of GLn (Fp s ) on the set F n p s and the transformations group, to present the public key cryptosystems based on the problem of solving a non-linear system of polynomial equations

scholarly journals Public Key Cryptosystem Based on Polynomial Composition

2019 ◽  
Vol 2 (2) ◽  
pp. 69
Author(s):  
Maxrizal Maxrizal ◽  
Baiq Desy Aniska Prayanti
Keyword(s):  
Matrix Polynomial ◽  
Special Functions ◽  
Public Key ◽  
Public Key Cryptosystem ◽  
Literature Study ◽  
The Public ◽  
Public Key Cryptosystems ◽  
Polynomial Decomposition ◽  
Polynomial Composition

The public key cryptosystem is an extension of an asymmetric key cryptosystem. The public key cryptosystems have been developed based on the concepts of matrix, polynomial and polynomial decomposition. In this study, we will introduce the public key cryptosystem over polynomial composition. This research is a literature study. The results show that the polynomial composition can be used in public-key cryptosystems by modifying special functions to apply commutative properties<em>.</em>

A novel LSSVM-L Hammerstein model structure for system identification and nonlinear model predictive control of CSTR servo and regulatory control

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Akshaykumar Naregalkar ◽  
Subbulekshmi Durairaj
Keyword(s):  
Linear System ◽  
Regulatory Control ◽  
Hammerstein Model ◽  
Support Vector ◽  
Model Structure ◽  
Linear Dynamics ◽  
Vector Machines ◽  
Non Linear ◽  
Laguerre Filters ◽  
Non Linear System

Abstract A continuous stirred tank reactor (CSTR) servo and the regulatory control problem are challenging because of their highly non-linear nature, frequent changes in operating points, and frequent disturbances. System identification is one of the important steps in the CSTR model-based control design. In earlier work, a non-linear system model comprises a linear subsystem followed by static nonlinearities and represented with Laguerre filters followed by the LSSVM (least squares support vector machines). This model structure solves linear dynamics first and then associated nonlinearities. Unlike earlier works, the proposed LSSVM-L (least squares support vector machines and Laguerre filters) Hammerstein model structure solves the nonlinearities associated with the non-linear system first and then linear dynamics. Thus, the proposed Hammerstein’s model structure deals with the nonlinearities before affecting the entire system, decreasing the model complexity and providing a simple model structure. This new Hammerstein model is stable, precise, and simple to implement and provides the CSTR model with a good model fit%. Simulation studies illustrate the benefit and effectiveness of the proposed LSSVM-L Hammerstein model and its efficacy as a non-linear model predictive controller for the servo and regulatory control problem.

On a non-linear system for shape memory alloys

1990 ◽  
Vol 2 (1) ◽  
pp. 65-76 ◽  
Author(s):  
Ph. B�nilan ◽  
D. Blanchard ◽  
H. Ghidouche
Keyword(s):  
Linear System ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Non Linear ◽  
Non Linear System
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