An improved test of Boolean functions for k-dimensionality
A probabilistic test of Boolean functions for k -dimensionality is constructed. The test has a less time complexity and a smaller first kind error probability (with the same upper bound for the second kind error probability) in comparison with a well-known previously proposed test.
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| Veröffentlicht in: | Cybernetics and systems analysis Jg. 49; H. 2; S. 183 - 190 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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01.03.2013
Springer Springer Nature B.V |
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| ISSN: | 1060-0396, 1573-8337 |
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| Abstract | A probabilistic test of Boolean functions for
k
-dimensionality is constructed. The test has a less time complexity and a smaller first kind error probability (with the same upper bound for the second kind error probability) in comparison with a well-known previously proposed test. |
|---|---|
| AbstractList | A probabilistic test of Boolean functions for k-dimensionality is constructed. The test has a less time complexity and a smaller first kind error probability (with the same upper bound for the second kind error probability) in comparison with a well-known previously proposed test. A probabilistic test of Boolean functions for k-dimensionality is constructed. The test has a less time complexity and a smaller first kind error probability (with the same upper bound for the second kind error probability) in comparison with a well-known previously proposed test. Keywords: testing property of Boolean functions, probabilistic algorithm, k-dimensional function, Walsh-Hadamard transform. A probabilistic test of Boolean functions for k -dimensionality is constructed. The test has a less time complexity and a smaller first kind error probability (with the same upper bound for the second kind error probability) in comparison with a well-known previously proposed test. |
| Audience | Academic |
| Author | Konyushok, S. N. Alekseychuk, A. N. |
| Author_xml | – sequence: 1 givenname: A. N. surname: Alekseychuk fullname: Alekseychuk, A. N. email: alex-crypto@mail.ru organization: Institute of Special Communication and Information Protection, National Technical University of Ukraine “Kyiv Polytechnic Institute” – sequence: 2 givenname: S. N. surname: Konyushok fullname: Konyushok, S. N. organization: Institute of Special Communication and Information Protection, National Technical University of Ukraine “Kyiv Polytechnic Institute” |
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| Cites_doi | 10.1109/TIT.2005.856958 10.1137/100785429 10.1090/mmono/241 |
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| DOI | 10.1007/s10559-013-9498-z |
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| References | Gopalan, O’Donnell, Servedio (CR1) 2011; 40 CR4 Alon, Kaufman, Krivelevich (CR8) 2005; 51 CR6 Logachev, Salnikov, Yashchenko (CR2) 2012 Yashchenko (CR3) 1997; 33 CR9 Alekseev (CR5) 2011; 12 Levin (CR7) 1993; 58 VV Yashchenko (9498_CR3) 1997; 33 EK Alekseev (9498_CR5) 2011; 12 OA Logachev (9498_CR2) 2012 N Alon (9498_CR8) 2005; 51 9498_CR9 P Gopalan (9498_CR1) 2011; 40 9498_CR4 LA Levin (9498_CR7) 1993; 58 9498_CR6 |
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| Snippet | A probabilistic test of Boolean functions for
k
-dimensionality is constructed. The test has a less time complexity and a smaller first kind error probability... A probabilistic test of Boolean functions for k-dimensionality is constructed. The test has a less time complexity and a smaller first kind error probability... |
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| SubjectTerms | Algorithms Analysis Artificial Intelligence Boolean Boolean functions Codes Complexity Control Cybernetics Errors Hypotheses Mathematical analysis Mathematics Mathematics and Statistics Probabilistic methods Probability Probability theory Processor Architectures Software Engineering/Programming and Operating Systems Studies Systems analysis Systems Theory Upper bounds |
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| Title | An improved test of Boolean functions for k-dimensionality |
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