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Reed-Muller expansions with fixed and mixed polarities over GF(4)

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1 Author(s)
D. H. Green ; Dept. of Electr. Eng. & Electron., Univ. of Manchester Inst. of Sci. & Technol., UK

The representation of quaternary switching functions by means of Reed-Muller algebraic expansions described over the Galois field GF(4) is discussed. An evaluation of the cost, in terms of basic field operations, is given for performing the fundamental transforms and for searching the optimum fixed polarity expansion. The existence of a very large number of consistent mixed polarity canonical forms is demonstrated and their basis vectors are listed.

Published in:

IEE Proceedings E - Computers and Digital Techniques  (Volume:137 ,  Issue: 5 )