Simple Matrix Scheme for Encryption

2013 ◽  
pp. 231-242 ◽  
Author(s):  
Chengdong Tao ◽  
Adama Diene ◽  
Shaohua Tang ◽  
Jintai Ding
Keyword(s):  
Simple Matrix ◽  
Matrix Scheme

scholarly journals A Multivariate Signature Based On Block Matrix Multiplication

2020 ◽  
Author(s):  
Adama Diene ◽  
Shaima Abdullah Thabet ◽  
Yahya Yusuf
Keyword(s):  
Low Cost ◽  
Matrix Multiplication ◽  
Public Key ◽  
Quadratic Polynomials ◽  
Public Key Cryptosystems ◽  
Simple Matrix ◽  
Matrix Scheme ◽  
Multivariate Public Key ◽  
Computational Resources ◽  
Theoretical Results

An oil and vinegar scheme is a signature scheme based on multivariate quadratic polynomials over finite fields. The system of polynomials contains $n$ variables, divided into two groups: $v$ vinegar variables and $o$ oil variables. The scheme is called balanced (OV) or unbalanced (UOV), depending on whether $v = 0$ or not, respectively. These schemes are very fast and require modest computational resources, which make them ideal for low-cost devices such as smart cards. However, the OV scheme has been already proven to be insecure and the UOV scheme has been proven to be very vulnerable for many parameter choices. In this paper, we propose a new multivariate public key signature whose central map consists of a set of polynomials obtained from the multiplication of block matrices. Our construction is motivated by the design of the Simple Matrix Scheme for Encryption and the UOV scheme. We show that it is secure against the Separation Method, which can be used to attack the UOV scheme, and against the Rank Attack, which is one of the deadliest attacks against multivariate public-key cryptosystems. Some theoretical results on matrices with polynomial entries are also given, to support the construction of the scheme.

Properties of a Dielectric Elastomer Actuator Modified by Dispersion of Functionalised Carbon Nanotubes

2012 ◽  
Vol 79 ◽  
pp. 41-46 ◽  
Author(s):  
Fabia Galantini ◽  
Sabrina Bianchi ◽  
Valter Castelvetro ◽  
Irene Anguillesi ◽  
Giuseppe Gallone
Keyword(s):  
Carbon Nanotubes ◽  
Dielectric Constant ◽  
Mechanical Performance ◽  
Broad Class ◽  
Dielectric Elastomer ◽  
Low Dielectric ◽  
Dielectric Elastomer Actuators ◽  
Electromechanical Transduction ◽  
The Matrix ◽  
Simple Matrix

Among the broad class of electro-active polymers, dielectric elastomer actuators represent a rapidly growing technology for electromechanical transduction. In order to further develop this applied science, the high driving voltages currently needed must be reduced. For this purpose, one of the most promising and adopted approach is to increase the dielectric constant while maintaining both low dielectric losses and high mechanical compliance. In this work, a dielectric elastomer was prepared by dispersing functionalised carbon nanotubes into a polyurethane matrix and the effects of filler dispersion into the matrix were studied in terms of dielectric, mechanical and electro-mechanical performance. An interesting increment of the dielectric constant was observed throughout the collected spectrum while the loss factor remained almost unchanged with respect to the simple matrix, indicating that conductive percolation paths did not arise in such a system. Consequences of the chemical functionalisation of carbon nanotubes with respect to the use of unmodified filler were also studied and discussed along with rising benefits and drawbacks for the whole composite material.

Quantum Mechanics in Simple Matrix Form

1986 ◽  
Vol 54 (12) ◽  
pp. 1154-1155 ◽  
Author(s):  
Thomas F. Jordan ◽  
Kannan Jagannathan
Keyword(s):  
Quantum Mechanics ◽  
Matrix Form ◽  
Simple Matrix

Combinatorial Rank Attacks Against the Rectangular Simple Matrix Encryption Scheme

2020 ◽  
pp. 307-322
Author(s):  
Daniel Apon ◽  
Dustin Moody ◽  
Ray Perlner ◽  
Daniel Smith-Tone ◽  
Javier Verbel
Keyword(s):  
Encryption Scheme ◽  
Simple Matrix

Contracting for Work in Tourism and Catering in Greece: Beyond a State/Market Dichotomy

2021 ◽  
Author(s):  
Gregoris Ioannou
Keyword(s):  
Social Relations ◽  
Social Power ◽  
Power Dynamics ◽  
Market Forces ◽  
Employment Relations ◽  
Legal Rules ◽  
The Social ◽  
Spatial Parameters ◽  
Simple Matrix

Abstract Drawing on a case study of contemporary employment relations in tourism and catering in Greece, this paper seeks to contribute to our empirical understanding of employment law. Which factors determine the ways in which the law is perceived by employers and workers and complied with, breached or avoided? The main argument of the paper is that not only market forces are relevant here; several other factors need to be taken into consideration, which when combined with market forces can re-regulate as well as deregulate the field of employment. These tend to be informal, locally embedded and influenced by wider social relations. By constructing a simple matrix of employment settings based on locale and seasonality on one axis, and size of enterprise and scope of services provided on the other, the paper demonstrates how organisational and spatial parameters and the social environment interact with market forces and legal forces to shape prevailing norms and to influence the behaviour of parties to the contract for work. It further demonstrates that the structuring of the sectoral labour market is a process determined by broader social power dynamics. Beyond serving as part of the context within which contracting for work takes place, legal rules are a resource to be mobilised by both employers and workers.

The T-Matrix Scheme

1986 ◽  
pp. 144-180
Author(s):  
Alexander G. Ramm
Keyword(s):  
T Matrix ◽  
Matrix Scheme

scholarly journals Long Periodic Variation of Orbital Elements of A Satellite Perturbed by Discrete Gravity Anomalies

1978 ◽  
Vol 41 ◽  
pp. 240-240
Author(s):  
M.P. Ananda
Keyword(s):  
Gravity Field ◽  
Gravity Anomalies ◽  
Large Data ◽  
Periodic Variation ◽  
Static Case ◽  
Orbital Elements ◽  
Disturbing Potential ◽  
Data Set ◽  
Simple Matrix ◽  
Derivatives Of

AbstractA method for generating long periodic variations in satellite orbital elements when perturbed by discrete gravity anomalies is presented. The method consists of developing a disturbing potential as a function of orbital and gravity anomaly parameters, and generating partial derivatives of the potential with respect to the orbital elements. The partials are averaged over the period of the satellite to eliminate the short periodic variations. The averaged partials are substituted into the variation of parameter equations to give the mean orbital rates. Classically orbital elements are used in generating gravity field and thus the method is dynamic in nature. The problem is extremely cumbersome and complex when multi-state parameters have to be estimated from a considerably large data set. However, when mean orbital rates are used, the problem reduces to a simple linear static case, where only the gravity parameters have to be estimated, and it is a simple matrix inversion problem. Thus the method developed here was utilized in reducing Appolo 15 and 16 subsatellite radio tracking data to produce a lunar gravity field represented by point masses.

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