Digital Library of Zielona Góra contains 63 052 digital objects
Object
Title: Efficient calculation of the Reed-Muller form by means of the Walsh transform
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
The paper describes a spectral method for combinational logic synthesis using the Walsh transform and the Reed-Muller form. A new algorithm is presented that allows us to obtain the mixed polarity Reed-Muller expansion of Boolean functions. ; The most popular minimisation (sub-minimisation) criterion of the Reed-Muller form is obtained by the exhaustive search of all the polarity vectors. This paper presents a non-exhaustive method for Reed-Muller expansions. ; The new method allows us to build the Reed-Muller form based on the analysis of Walsh-Hadamard coefficients. The presented method has much less complexity than the procedures which have been applied until now. Both the transforms and the presented Walsh-Hadamard spectral characterization of the Reed-Muller expansion are compared. An analysis of the properties of the spectra obtained from these transforms is made.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 12, number 4 (2002) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > 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) (2002)
Last modified:
Jul 14, 2025
In our library since:
Sep 3, 2021
Number of object content hits:
242
All available object's versions:
https://zbc.uz.zgora.pl/publication/65761
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 1 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 2 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 3 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 4 (2002)
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| Edition name | Date |
|---|---|
| Efficient calculation of the Reed-Muller form by means of the Walsh transform | Jul 14, 2025 |
Objects Similar
Porwik, Piotr Stanković, Radomir S. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Porwik, Piotr Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Doroz, Rafał Wróbel, Krzysztof Porwik, Piotr Aitouche, Abdel - ed.
