APPLIED NUMERICS AND CRYPTOLOGY RESEARCH GROUP

The group focuses over the past 10 years on applied cryptology and alternative arithmetics for numerical mathematics. We focus both on mathematical foundation of cryptology and alternative computer arithmetics and on practical verification of theoretical results in modern implementation platforms, such as FPGA, ASIC, GPU, and parallel clusters.
 

RESEARCH AREAS

  • Alternative arithmetics for numerical methods
  • Cryptanalysis
  • Cryptographic HW architectures
  • Forensic analysis
  • Physically uncloneable functions
  • Side channel attack analysis methods
  • True random number generators

 

COOPERATING INSTITUTIONS

 

GRANTS
P103/12/2377 (Czech Science Foundation): Study of properties of residual arithmetic for solving sets of linear equations, main investigator: prof. Ing. Róbert Lórencz, CSc., 01/2012 - 12/2014.
 
COST IC1204 (EU grant): Trustworthy Manufacturing and Utilization of Secure Devices, main investigator: prof. Ing. Róbert Lórencz, CSc., 12/2012 - 12/2016.
 

SELECTED PUBLICATIONS
PLATONOV, M., HLAVÁČ, J., and LÓRENCZ, R.: Using Power-Up SRAM State of Atmel ATmega1284P Microcontrollers as Physical Unclonable Function for Key Generation and Chip Identification. Information Security Journal: A Global Perspective, 2014, 22(5-6), 244-250.
 
BUČEK, J., KUBALÍK, P., LÓRENCZ, R., and ZAHRADNICKÝ, T.: Comparison of FPGA and ASIC Implementation of a Linear Congruence Solver. In: Proceedings of 16th Euromicro Conference on Digital System Design, 2013, pp. 284-287. ISBN 978-0-7695-5074-9.
 
HLAVÁČ, J. and BUCHOVECKÁ, S.: Frequency Injection Attack on a Random Number Generator. In: Proceedings of the 16th IEEE Symposium on Design and Diagnostics of Electronic Circuits and Systems, 2013, pp. 128-130. ISBN 978-1-4673-6133-0.
 
HLAVÁČ, J. and LÓRENCZ, R.: Arithmetic Unit for Computations in GF(p) with the Left-Shifting Multiplicative Inverse Algorithm. In: Proceedings of 2013 26th International Conference on Architecture of Computing Systems (ARCS), 2013, pp. 268-279. ISBN 978-3-642-36423-5.
 
ŠTĚPÁNEK, F., BUČEK, J., and NOVOTNÝ, M.: Differential Power Analysis under Constrained Budget: Low Cost Education of Hackers. In: Proceedings of 16th Euromicro Conference on Digital System Design, 2013, pp. 645-648. ISBN 978-0-7695-5074-9.
 
ZAHRADNICKÝ, T. and LÓRENCZ, R.: Architecture of a Parallel MOSFET Parameter Extraction System. In: Proceedings of 2013 26th International Conference on Architecture of Computing Systems (ARCS), 2013, pp. 329-340. ISBN 978-3-642-36423-5.
 
BUČEK, J., KUBALÍK, P., LÓRENCZ, R., and ZAHRADNICKÝ, T.: Dedicated Hardware Implementation of a Linear Congruence Solver in FPGA. In: The 19th IEEE International Conference on Electronics, Circuits, and Systems (ICECS 2012), 2012, pp. 689-692. ISBN 978-1-4673-1261-5.
 
HLAVÁČ, J., HADÁČEK, M., and LÓRENCZ, R.: True Random Number Generation on an Atmel AVR Microcontroller. In: 2010 2nd International Conference on Computer Engineering and Technology, IEEE, 2010, vol. 2, pp. 493-495. ISBN 978-1-4244-6350-3.
 
LÓRENCZ, R.: Method for Generating the Multiplicative Inverse in a Finite Field GF(p). Patent United States Patent and Trademark Office (USPTO), 7574469. 2009-08-11.
 

CONTACT
Prof. Ing. Róbert Lórencz, CSc.
e-mail: robert.lorencz@fit.cvut.cz

 



Last modified: 20.10.2014, 0:34