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.
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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.
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