Kolmogorov One-Way Functions Revisited
Department Matemática, Instituto Superior Técnico, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal
Centro de Matemática, Aplicações Fundamentais e Investigação Operacional (CMAF-CIO), Campo Grande 016, 1749-016 Lisboa, Portugal
Department Informática, Faculdade de Ciências, Campo Grande 016, 1749-016 Lisboa, Portugal
LASIGE, Faculdade de Ciências, U Lisboa, Portugal; Campo Grande 016, 1749-016 Lisboa, Portugal
Instituto de Telecomunicações, Avenida Rovisco Pais, 1, 1049-001 Lisboa, Portugal
Current address: Campo Grande 016, 1749-016 Lisboa, Portugal
Author to whom correspondence should be addressed.
Received: 29 March 2018 / Revised: 20 April 2018 / Accepted: 25 April 2018 / Published: 28 April 2018
We study characterizations of one-way functions in terms of time-bounded Kolmogorov complexity. As the main contribution, we propose definitions for strong and weak Kolmogorov one-way functions and show that these are equivalent to classical strong and weak one-way functions, respectively. The new definitions were motivated by the fact that the expected value approach is not able to characterize strong one-way functions as we prove in the paper.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
Casal, F.; Rasga, J.; Souto, A. Kolmogorov One-Way Functions Revisited. Cryptography 2018, 2, 9.
Casal F, Rasga J, Souto A. Kolmogorov One-Way Functions Revisited. Cryptography. 2018; 2(2):9.
Casal, Filipe; Rasga, João; Souto, André. 2018. "Kolmogorov One-Way Functions Revisited." Cryptography 2, no. 2: 9.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
Multiple requests from the same IP address are counted as one view.