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February 1975 (vol. 24 no. 2)
pp. 206-210
D.K. Pradhan, Department of Computer Science, University versity of Saskatchewan
In this correspondence we show the existence of a Reed-Muller like expansion for multivalued functions. We establish that any m-variable, N-valued function [mi]f(xm,xm-1,...x1[/mi]) can be expressed as [mi]Co+ C1x1+ *--+ + CNm_1xmN-1xm-1N-1x1
Index Terms:
Generalized Reed-Muller code (GRMC), modular algebra, multivalued logic, postalgebra, power of a prime valued logic, Reed-Muller expansion.
Citation:
D.K. Pradhan, A.M. Patel, "Reed-Muller Like Canonic Forms for Multivalued Functions," IEEE Transactions on Computers, vol. 24, no. 2, pp. 206-210, Feb. 1975, doi:10.1109/T-C.1975.224186
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