Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: The spectral test of the Boolean function linearity
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
The paper discusses the problem of recognizing the Boolean function linearity. A spectral method of the analysis of Boolean functions using the Walsh transform is described. Linearity and nonlinearity play important roles in the design of digital circuits. ; The analysis of the distribution of spectral coefficients allows us to determine various combinatorial properties of Boolean functions, such as redundancy, monotonicity, self-duality, correcting capability, etc., which seems more difficult be performed by means of other methods. ; In particular, the basic synthesis method described in the paper allows us to compute the spectral coefficients in an iterative manner. The method can be easily used in investigations of large Boolean functions (of many variables), which seems very attractive for modern digital technologies. Experimental results demonstrate the efficiency of the approach.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 13, number 4 (2003) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2003)
Last modified:
Jul 14, 2025
In our library since:
Oct 19, 2021
Number of object content hits:
185
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65929
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 1 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 2 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 3 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13, number 4 (2003)
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| Edition name | Date |
|---|---|
| The spectral test of the Boolean function linearity | Jul 14, 2025 |
Objects Similar
Porwik, Piotr Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
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Tomaszewski, Sebastian P. Celik, Ilgaz U. Antoniou, George E. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Doroz, Rafał Wróbel, Krzysztof Porwik, Piotr Aitouche, Abdel - ed.
