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38th International Symposium on Multiple Valued Logic (ismvl 2008)
Minimization of Quaternary Galois Field Sum of Products Expression for Multi-Output Quaternary Logic Function Using Quaternary Galois Field Decision Diagram
May 22-May 24
ISBN: 978-0-7695-3155-7
ASCII Text
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Mozammel H.A. Khan, Nafisa K. Siddika, Marek A. Perkowski, "Minimization of Quaternary Galois Field Sum of Products Expression for Multi-Output Quaternary Logic Function Using Quaternary Galois Field Decision Diagram," Multiple-Valued Logic, IEEE International Symposium on, pp. 125-130, 38th International Symposium on Multiple Valued Logic (ismvl 2008), 2008.
 
 
BibTex
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@article{ 10.1109/ISMVL.2008.31,
author = {Mozammel H.A. Khan and Nafisa K. Siddika and Marek A. Perkowski},
title = {Minimization of Quaternary Galois Field Sum of Products Expression for Multi-Output Quaternary Logic Function Using Quaternary Galois Field Decision Diagram},
journal ={Multiple-Valued Logic, IEEE International Symposium on},
volume = {0},
year = {2008},
issn = {0195-623X},
pages = {125-130},
doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2008.31},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Multiple-Valued Logic, IEEE International Symposium on
TI - Minimization of Quaternary Galois Field Sum of Products Expression for Multi-Output Quaternary Logic Function Using Quaternary Galois Field Decision Diagram
SN - 0195-623X
SP125
EP130
A1 - Mozammel H.A. Khan,
A1 - Nafisa K. Siddika,
A1 - Marek A. Perkowski,
PY - 2008
KW - null
VL - 0
JA - Multiple-Valued Logic, IEEE International Symposium on
ER -
 
A quaternary logic function expressed as quaternary Galois field sum of products (QGFSOP) expression can be realized as a cascade of quaternary 1-qudit, Feynman, and Toffoli gates. In this paper, we have presented a heuristic algorithm for simultaneous variable ordering and quaternary Galois field expansion selection for constructing optimal quaternary Galois field decision diagram (QGFDD). We have also shown the way of flattening the QGFDD for generating QGFSOP expression. We have written Java program to construct QGFDD for multi-output quaternary functions and provided experimental results.
Citation:
Mozammel H.A. Khan, Nafisa K. Siddika, Marek A. Perkowski, "Minimization of Quaternary Galois Field Sum of Products Expression for Multi-Output Quaternary Logic Function Using Quaternary Galois Field Decision Diagram," ismvl, pp.125-130, 38th International Symposium on Multiple Valued Logic (ismvl 2008), 2008
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