SÝS, Marek, Zdeněk ŘÍHA and Václav MATYÁŠ. Algorithm 970: Optimizing the NIST Statistical Test Suite and the Berlekamp-Massey Algorithm. ACM Transactions on Mathematical Software. Association for Computing Machinery, 2017, vol. 43, No 3, p. 27-37. ISSN 0098-3500. Available from: https://dx.doi.org/10.1145/2988228.
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Basic information
Original name Algorithm 970: Optimizing the NIST Statistical Test Suite and the Berlekamp-Massey Algorithm
Authors SÝS, Marek (703 Slovakia, belonging to the institution), Zdeněk ŘÍHA (203 Czech Republic, belonging to the institution) and Václav MATYÁŠ (203 Czech Republic, guarantor, belonging to the institution).
Edition ACM Transactions on Mathematical Software, Association for Computing Machinery, 2017, 0098-3500.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10201 Computer sciences, information science, bioinformatics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 2.905
RIV identification code RIV/00216224:14330/17:00094584
Organization unit Faculty of Informatics
Doi http://dx.doi.org/10.1145/2988228
UT WoS 000395512100010
Keywords in English Berlekamp-Massey algorithm; NIST STS; statistical randomness testing; design; algorithms; performance
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Václav Matyáš, M.Sc., Ph.D., učo 344. Changed: 2/2/2021 10:32.
Abstract
The NIST Statistical Test Suite (NIST STS) is one of the most popular tools for the analysis of randomness. This test battery is widely used, but its implementation is quite inefficient. A complete randomness analysis using the NIST STS can take hours on a standard computer when the tested data volume is on the order of GB. We improved the most time-consuming test (Linear Complexity) from the previous most efficient implementation of the NIST STS. We also optimized other tests and achieved an overall speedup of 50.6x compared with the reference implementation. This means that 20 MB of data can be tested within a minute using our new optimized version of the NIST STS. To speed up the Linear Complexity test, we proposed a new version of the Berlekamp-Massey algorithm that computes only the linear complexity of a sequence. This new variant does not construct a linear feedback shift register and is approximately 187x faster than the original NIST implementation of the Berlekamp-Massey algorithm.
Links
EE2.3.30.0037, research and development projectName: Zaměstnáním nejlepších mladých vědců k rozvoji mezinárodní spolupráce
GA16-08565S, research and development projectName: Rozvoj kryptoanalytických metod prostřednictvím evolučních výpočtů
Investor: Czech Science Foundation
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