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CLC number: TP391
On-line Access: 2024-08-27
Received: 2023-10-17
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Crosschecked: 2011-03-01
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Reed-Muller function optimization techniques with onset table
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Lun-yao Wang, Yin-shui Xia, Xie-xiong Chen, A. E. A. Almaini. Reed-Muller function optimization techniques with onset table[J]. Journal of Zhejiang University Science C, 2011, 12(4): 288-296.
@article{title="Reed-Muller function optimization techniques with onset table",
author="Lun-yao Wang, Yin-shui Xia, Xie-xiong Chen, A. E. A. Almaini",
journal="Journal of Zhejiang University Science C",
volume="12",
number="4",
pages="288-296",
year="2011",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.C1000193"
}
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%A Yin-shui Xia
%A Xie-xiong Chen
%A A. E. A. Almaini
%J Journal of Zhejiang University SCIENCE C
%V 12
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%P 288-296
%@ 1869-1951
%D 2011
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.C1000193
TY - JOUR
T1 - Reed-Muller function optimization techniques with onset table
A1 - Lun-yao Wang
A1 - Yin-shui Xia
A1 - Xie-xiong Chen
A1 - A. E. A. Almaini
J0 - Journal of Zhejiang University Science C
VL - 12
IS - 4
SP - 288
EP - 296
%@ 1869-1951
Y1 - 2011
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.C1000193
Abstract: By mapping a fixed polarity Reed-Muller (RM) expression into an onset table and studying the properties of the onset table, an algorithm is proposed to obtain a compact multi-level single-output mixed-polarity RM function by searching for and extracting the common variables using the onset table. Furthermore, by employing the multiplexer model, the algorithm is extended to optimize multi-level multi-output mixed-polarity RM forms. The proposed algorithm is implemented in C language and tested using some MCNC benchmarks. Experimental results show that the proposed algorithm can obtain a more compact RM form than that under fixed polarity. Compared with published results, the proposed algorithm makes a significant speed improvement, with a small increase in the number of literals.
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