Functional safety and survivability of information control elliptic-curve-based systems: models and methods

Authors

  • Marek A. ALEKSANDER State Higher Vocational School in Nowy Sacz
  • Mikolaj P. KARPINSKI University of Bielsko-Biala & State Higher Vocational School in Nowy Sacz
  • Grzegorz K. LITAWA National Ivan Puluj Technical University, Ukraine & State Higher Vocational School in Nowy Sacz

DOI:

https://doi.org/10.18372/2225-5036.19.4704

Keywords:

information control system, elliptic curve, functional safety, survivability, system of Rademacher-Krestenson’s residual classes

Abstract

There is an analysis of functional safety and survivability of information control systems relying on elliptic curve-based calculations. Time required for solving a discrete logarithm on GF(p) elliptic curves was worked out. Presented were aspects of the use of FPGA systems whose calculations were based on Rademacher-Krestenson’s remaining classes and parallel summing.

Author Biographies

Marek A. ALEKSANDER, State Higher Vocational School in Nowy Sacz

Date and place of birth: 1974, Nowy Sacz, Poland

Education: AGH University of Science and Technology in 2000 & Military University of Technology in 2004

Research interests: cryptology, mathematic modeling, wireless network security, electronics

Current position & Functions: director of Institute of Engineering

Publications: author and co-author of over 40 publications

E-mail: aleksmar@pwsz-ns.edu.pl

Mikolaj P. KARPINSKI, University of Bielsko-Biala & State Higher Vocational School in Nowy Sacz

Date and place of birth: 1958, Baley, Chita Oblast, Russia.

Education: Lviv Polytechnic Institute, 1980.

Research interests: cybersecurity, computer systems and wireless networks, especially their security, in particular cryptographic methods of information defense, lighting engineering and electric and photometric measurements.

Current position & Functions: Chairman of Computer Science Division since 2009.

Publications: over 100 scientific publications including monographs, papers in domestic & foreign scientific journals, international conferences proceedings, patents etc.

E-mail: mkarpinski@ath.bielsko.pl

Grzegorz K. LITAWA, National Ivan Puluj Technical University, Ukraine & State Higher Vocational School in Nowy Sacz

Date and place of birth: 1975, Stara Wies, Poland.

Education: University of Rzeszow in 2000, Pedagogical University of Cracow in 2001

Research interests: cryptography, cryptanalysis, calculations distracted, design of digital circuits with the use in cryptograph and computer network security.

Current position & Functions: Postgraduate student and assistant professor.

Publications: author and co-author of over 16 publications.

E-mail: glitawa@poczta.onet.pl

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How to Cite

ALEKSANDER, M. A., KARPINSKI, M. P., & LITAWA, G. K. (2013). Functional safety and survivability of information control elliptic-curve-based systems: models and methods. Ukrainian Scientific Journal of Information Security, 19(1), 51–56. https://doi.org/10.18372/2225-5036.19.4704

Issue

Vol. 19 No. 1 (2013)

Section

Cryptology

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