Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Cryptographic schemes based on rapidly mixing Markov chains

2013/10/E/ST1/00359

Keywords:

cryptographic schemes Markov processes convergence to stationarity

Descriptors:

  • ST1_13: Probability and statistics
  • ST1_15: Mathematical aspects of computer science
  • ST6_5: Cryptography, security, privacy, quantum computing

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Politechnika Wrocławska, Wydział Podstawowych Problemów Techniki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Filip Zagórski 

Number of co-investigators in the project: 16

Call: SONATA BIS 3 - announced on 2013-06-14

Amount awarded: 888 000 PLN

Project start date (Y-m-d): 2014-06-13

Project end date (Y-m-d): 2017-12-12

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Laptop (6 000 PLN)
  2. Laptop (8 000 PLN)
  3. Serwer (15 000 PLN)

Information in the final report

  • Publication in academic press/journals (7)
  • Articles in post-conference publications (6)
  1. Monotonicity requirements for efficient exact sampling with Markov chains
    Authors:
    Paweł Lorek, Piotr Markowski
    Academic press:
    Markov Processes and Related Fields (rok: 2017, tom: v. 23 (3), strony: 485-514), Wydawca: Polymat Publishing Company
    Status:
    Published
  2. Strong stationary times and its use in cryptography
    Authors:
    Paweł Lorek, Michał Kulis, Filip Zagórski
    Academic press:
    IEEE Transactions on Dependable and Secure Computing (rok: 2019, tom: vol. 16, no. 5, strony: 805-818), Wydawca: IEEE Computer Society
    Status:
    Published
    DOI:
    10.1109/TDSC.2017.2751475 - link to the publication
  3. Absorption time and absorption probabilities for a family of multidimensional gambler models
    Authors:
    Paweł Lorek, Piotr Markowski
    Academic press:
    Latin American Journal of Probability and Mathematical Statistics , Wydawca: ALEA
    Status:
    Submitted
  4. Antiduality and Mobius monotonicity: Generalized Coupon Collector Problem
    Authors:
    Paweł Lorek
    Academic press:
    ESAIM: Probabililty and Statistics (rok: 2019, tom: 23, strony: 739-769), Wydawca: EDP Sciences
    Status:
    Published
    DOI:
    10.1051/ps/2019004 - link to the publication
  5. Generalized Gambler's ruin problem: explicit formulas via Siegmund duality
    Authors:
    Paweł Lorek
    Academic press:
    Methodology and Computing in Applied Probability (rok: 2017, tom: 19(2), strony: 603-613), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11009-016-9507-6 - link to the publication
  6. Siegmund duality for Markov chains on partially ordered state spaces
    Authors:
    Paweł Lorek
    Academic press:
    Probability in the Engineering and Informational Sciences (rok: 2018, tom: 32 issue 4, strony: 495-521), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0269964817000341 - link to the publication
  7. On testing pseudorandom generators via statistical tests based on the arcsine law
    Authors:
    Paweł Lorek, Grzegorz Łos, Filip Zagórski, Karol Gotfryd
    Academic press:
    Journal of Computational and Applied Mathematics (rok: 2020, tom: 380, strony: 112968), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2020.112968 - link to the publication
  1. RiffleScrambler – A Memory-Hard Password Storing Function
    Authors:
    Karol Gotfryd, Paweł Lorek, Filip Zagórski
    Conference:
    European Symposium on Research in Computer Security ESORICS 2018 (rok: 2018, ), Wydawca: Springer
    Data:
    konferencja wrzesień
    Status:
    Published
  2. Towards Extending Noiseless Privacy - Dependent Data and More Practical Approach
    Authors:
    Krzysztof Grining, Marek Klonowski
    Conference:
    ASIA CCS '17: Proceedings of the 2017 ACM on Asia Conference on Computer and Communications Security (rok: 2017, ), Wydawca: ACM
    Data:
    konferencja 2-4 IV 2017
    Status:
    Published
  3. Randomized stopping times and provably secure pseudorandom permutation generator
    Authors:
    Michał Kulis, Paweł Lorek, Filip Zagórski
    Conference:
    Mycrypt 2016: Paradigm-shifting Crypto (rok: 2016, ), Wydawca: Springer
    Data:
    konferencja 1-2 XII
    Status:
    Published
  4. Leakage-Resilient Riffle Shuffle
    Authors:
    Paweł Lorek, Michał Kulis, Filip Zagórski
    Conference:
    MACIS 2017: Mathematical Aspects of Computer and Information Sciences (rok: 2017, ), Wydawca: Springer
    Data:
    konferencja 15-17 XI
    Status:
    Published
  5. GraFPE - PRP-secure format preserving encryption scheme
    Authors:
    Adam Budziak, Paweł Lorek, Marcin Słowik Filip Zagórski
    Conference:
    Eurocrypt (rok: 2021, ), Wydawca: Springer
    Data:
    konferencja czerwiec
    Status:
    Submitted
  6. Statistical Testing of PRNG: Generalized Gambler's Ruin Problem
    Authors:
    Paweł Lorek, Marcin Słowik, Filip Zagórski
    Conference:
    MACIS 2017: Mathematical Aspects of Computer and Information Sciences (rok: 2017, ), Wydawca: Springer
    Data:
    konferencja 15-17 XI
    Status:
    Published