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36th International Symposium on Multiple-Valued Logic (ISMVL'06)
Some Observations on Minimal Clones
Singapore
May 17-May 20
ISBN: 0-7695-2532-6
ASCII Text
x 
 
Hajime Machida, Michael Pinsker, "Some Observations on Minimal Clones," Multiple-Valued Logic, IEEE International Symposium on, pp. 24, 36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006.
 
 
BibTex
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@article{ 10.1109/ISMVL.2006.39,
author = {Hajime Machida and Michael Pinsker},
title = {Some Observations on Minimal Clones},
journal ={Multiple-Valued Logic, IEEE International Symposium on},
volume = {0},
year = {2006},
issn = {0195-623X},
pages = {24},
doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2006.39},
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 - Some Observations on Minimal Clones
SN - 0195-623X
SP
EP
A1 - Hajime Machida,
A1 - Michael Pinsker,
PY - 2006
KW - Clone; minimal clone; Galois field
VL - 0
JA - Multiple-Valued Logic, IEEE International Symposium on
ER -
 
Hajime Machida, Hajime Machida
Michael Pinsker, Michael Pinsker
A minimal clone is an atom of the lattice of clones. We propose a new method to study minimal clones by considering the base set Ek with k elements as a finite field and by expressing each function as a polynomial over Ek. For k = 3 we present the list of all binary minimal polynomials over GF(3) derived from Cs?ak?any?s result. Then, we discuss some properties of binary minimal linear polynomials and of binary minimal monomials.
Index Terms:
Clone; minimal clone; Galois field
Citation:
Hajime Machida, Michael Pinsker, "Some Observations on Minimal Clones," ismvl, pp.24, 36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006
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