Deterministic and Las Vegas primality testing algorithms

Author(s):  
Martin Fürer
Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 150 ◽  
Author(s):  
Alexander Shelupanov ◽  
Oleg Evsyutin ◽  
Anton Konev ◽  
Evgeniy Kostyuchenko ◽  
Dmitry Kruchinin ◽  
...  

In Tomsk University of Control Systems and Radioelectronics (TUSUR) one of the main areas of research is information security. The work is carried out by a scientific group under the guidance of Professor Shelupanov. One of the directions is the development of a comprehensive approach to assessing the security of the information systems. This direction includes the construction of an information security threats model and a protection system model, which allow to compile a complete list of threats and methods of protection against them. The main directions of information security tools development are dynamic methods of biometrics, methods for generating prime numbers for data encryption, steganography, methods and means of data protection in Internet of Things (IoT) systems. The article presents the main results of research in the listed areas of information security. The resultant properties in symmetric cryptography are based on the properties of the power of the generating functions. The authors have obtained symmetric principles for the development of primality testing algorithms, as discussed in the Appendix.


10.1029/ft385 ◽  
1989 ◽  
Author(s):  
Christopher C. Barton ◽  
Paul A. Hsieh ◽  
Jacques Angelier ◽  
Francoise Bergerat ◽  
Catherine Bouroz ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document