Abstract
This paper presents a method of constructing the universal multiple processing element unit(UMPEU) based on Graph. The proposed method is as following. Firstly we propose transformation operators in order to construct the graph using properties of graph. Secondly we construct the transformation table of graph using above transformation operators. Finally we construct the graph using transformation table. The proposed UMPEU is capable of constructing the graph for any prime number and integer value of finite fields. Also the UMPEU is applied to fault-tolerant computing system, pipeline class, parallel processing network, switching function and its circuits.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Green, D.: Modern Logic Design. Addison-Wesley company (1986)
Hwang, K.: Computer Arithmetic principles, architecture, and design. John Wiley & Sons (1979)
Arazi, B.: On the Sythesis of De-Bruijn Sequences. Information and Control 49, 81–90 (1981)
Lempel, A.: On a Homomorphism of the DE-Bruijn Graph and its Applications to the Design of Feedback Shift Registers. IEEE Trans. Comut. C-19(12), 1204–1209 (1970)
Sridhar, M.A., Reghavendra, C.S.: Fault-Tolerant Networks based on the De Bruijn Graph. IEEE Trans. Comut. 41(11), 1167–1174 (1991)
Artin, E.: Galois Theory, NAPCO Graphic arts, Inc., Wisconsin (1971)
Gould, R.: Graph Theory. The Bejamin/Cummings Publishing Company, Inc. (1988)
Lidi, R., Niederreiter, H.: Introduction to finite fields and their applications, Cambridge (2009)
Geiselmann, W., Steinwandt, R.: A Redundant Representation of GF(qn) for designing Arithmetic Circuit. IEEE Trans. Comput. 52(7), 848–853 (2003)
Reyhani-Masoleh, A., Hasan, M.A.: Fast Normal basis Multiplication Using general Purpose Processors. IEEE Tran. Comput. 52(11), 1379–1390 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Park, CM. (2012). Universal Multiple Processing Unit Using Graph. In: Lee, G., Howard, D., Ślęzak, D., Hong, Y.S. (eds) Convergence and Hybrid Information Technology. ICHIT 2012. Communications in Computer and Information Science, vol 310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32692-9_78
Download citation
DOI: https://doi.org/10.1007/978-3-642-32692-9_78
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32691-2
Online ISBN: 978-3-642-32692-9
eBook Packages: Computer ScienceComputer Science (R0)