SÝS, Marek, Dušan KLINEC, Karel KUBÍČEK and Petr ŠVENDA. BoolTest: The Fast Randomness Testing Strategy Based on Boolean Functions with Application to DES, 3-DES, MD5, MD6 and SHA-256. In E-Business and Telecommunications 14th International Joint Conference, ICETE 2017. Madrid: Springer, 2019, p. 123-149. ISBN 978-3-030-11038-3. Available from: https://dx.doi.org/10.1007/978-3-030-11039-0_7.
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Basic information
Original name BoolTest: The Fast Randomness Testing Strategy Based on Boolean Functions with Application to DES, 3-DES, MD5, MD6 and SHA-256
Name in Czech BoolTest: rychlé testovanie náhodnosti na bázy boolovských funkcií DES, 3-DES, MD5, MD6 and SHA-256
Authors SÝS, Marek (703 Slovakia, guarantor, belonging to the institution), Dušan KLINEC (703 Slovakia, belonging to the institution), Karel KUBÍČEK (203 Czech Republic, belonging to the institution) and Petr ŠVENDA (203 Czech Republic, belonging to the institution).
Edition Madrid, E-Business and Telecommunications 14th International Joint Conference, ICETE 2017, p. 123-149, 27 pp. 2019.
Publisher Springer
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10201 Computer sciences, information science, bioinformatics
Country of publisher Germany
Confidentiality degree is not subject to a state or trade secret
Publication form printed version "print"
WWW Webpage with paper supplementary materials
RIV identification code RIV/00216224:14330/19:00107243
Organization unit Faculty of Informatics
ISBN 978-3-030-11038-3
ISSN 1865-0929
Doi http://dx.doi.org/10.1007/978-3-030-11039-0_7
Keywords in English Statistical randomness testing; hypothesis testing; boolean function
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Changed by Changed by: RNDr. Pavel Šmerk, Ph.D., učo 3880. Changed: 28/4/2020 11:06.
Abstract
The output of modern cryptographic primitives like pseudorandom generators and block or stream ciphers is frequently required to be indistinguishable from a truly random data. The existence of any distinguisher provides a hint about the insufficient confusion and diffusion property of an analyzed function. In addition to targeted cryptoanalysis, statistical tests included in batteries such as NIST STS, Dieharder or TestU01 are frequently used to assess the indistinguishability property. However, the tests included in these batteries are either too simple to spot the common biases (like the Monobit test) or overly complex (like the Fourier Transform test) requiring an extensive amount of data. We propose a simple, yet surprisingly powerful method called BoolTest for the construction of distinguishers based on an exhaustive search for boolean function(s). The BoolTest typically constructs distinguisher with fewer input data required and directly identifies the function’s biased output bits. We analyze the performance on four input generation strategies: counter-based, low hamming weight, plaintextciphertext block combination and bit-flips to test strict avalanche criterion. The BoolTest detects bias and thus constructs distinguisher in a significantly higher number of rounds in the round-reduced versions of DES, 3-DES, MD5, MD6 and SHA-256 functions than the state-of-the-art batteries. Finally, we provide a precise interpretation of BoolTest verdict (provided in the form of Z-score) about the confidence of a distinguisher found. The BoolTest clear interpretation is a significant advantage over standard batteries consisting of multiple tests, where not only a statistical significance of a single test but also aggregated decision over multiple, potentially correlated tests, needs to be correctly performed.
Links
GA16-08565S, research and development projectName: Rozvoj kryptoanalytických metod prostřednictvím evolučních výpočtů
Investor: Czech Science Foundation
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