On Fixed Points and Cycles in the Reed Muller Domain

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ISMVL
2008
38th International Symposium on Multiple Valued Logic (ismvl 2008)
Abstract - On Fixed Points and Cycles in the Reed Muller Domain

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38th International Symposium on Multiple Valued Logic (ismvl 2008)

On Fixed Points and Cycles in the Reed Muller Domain

May 22-May 24

ISBN: 978-0-7695-3155-7

	ASCII Text	x
	Claudio Moraga, Suzana Stojkovic, Radomir Stankovic, "On Fixed Points and Cycles in the Reed Muller Domain," Multiple-Valued Logic, IEEE International Symposium on, pp. 82-87, 38th International Symposium on Multiple Valued Logic (ismvl 2008), 2008.

	BibTex	x
	@article{ 10.1109/ISMVL.2008.15, author = {Claudio Moraga and Suzana Stojkovic and Radomir Stankovic}, title = {On Fixed Points and Cycles in the Reed Muller Domain}, journal ={Multiple-Valued Logic, IEEE International Symposium on}, volume = {0}, year = {2008}, issn = {0195-623X}, pages = {82-87}, doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2008.15}, 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 - On Fixed Points and Cycles in the Reed Muller Domain SN - 0195-623X SP82 EP87 A1 - Claudio Moraga, A1 - Suzana Stojkovic, A1 - Radomir Stankovic, PY - 2008 KW - Eigenvectors KW - Reed Muller transform KW - cycles KW - spectral diversity VL - 0 JA - Multiple-Valued Logic, IEEE International Symposium on ER -

Claudio Moraga

Suzana Stojkovic

Radomir Stankovic

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISMVL.2008.15

This paper studies cycles that appear by repeatedly applying the RM transform to a p-valued function. It is shown that there are nontrivial fixed points, which correspond to eigenvectors of the transform and a simple method is proposed to determine the maximum period of n-place functions for a given p. The concept of spectral diversity is introduced, which may be applied to characterize p-valued functions.

Index Terms:

Eigenvectors, Reed Muller transform, cycles, spectral diversity

Citation:

Claudio Moraga, Suzana Stojkovic, Radomir Stankovic, "On Fixed Points and Cycles in the Reed Muller Domain," ismvl, pp.82-87, 38th International Symposium on Multiple Valued Logic (ismvl 2008), 2008

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