Next Article in Journal
ReSOLV: Applying Cryptocurrency Blockchain Methods to Enable Global Cross-Platform Software License Validation
Previous Article in Journal
Robust Secure Authentication and Data Storage with Perfect Secrecy
Article Menu

Export Article

Open AccessArticle
Cryptography 2018, 2(2), 9;

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
Full-Text   |   PDF [289 KB, uploaded 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. View Full-Text
Keywords: Kolmogorov complexity; one-way functions; cryptography; complexity theory Kolmogorov complexity; one-way functions; cryptography; complexity theory
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.

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.

Article Metrics

Article Access Statistics



[Return to top]
Cryptography EISSN 2410-387X Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top