Switching functions constructed by Galois extension fields

作者: Iwaro Takahashi

DOI: 10.1016/S0019-9958(81)90629-X

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摘要: Every digital information processing is essentially represented by a set n functions of m variables on {0, 1}. We propose method to reduce such one polynomial variable GF (2 N ) (extension field over (2)). Such polynomials have remarkable properties based Frobenius transforms, which are serve for effective designs and productions switching circuits.

参考文章(7)
R. C. Mullin, Ian F. Blake, The mathematical theory of coding ,(2014)
Benjauthrit, Reed, On the Fundamental Structure of Galois Switching Functions IEEE Transactions on Computers. ,vol. 27, pp. 757- 762 ,(1978) , 10.1109/TC.1978.1675185
Boonsieng Benjauthrit, Irving S. Reed, Galois Switching Functions and Their Applications IEEE Transactions on Computers. ,vol. 25, pp. 78- 86 ,(1976) , 10.1109/TC.1976.5009207
D.K. Pradhan, A.M. Patel, Reed-Muller Like Canonic Forms for Multivalued Functions IEEE Transactions on Computers. ,vol. 24, pp. 206- 210 ,(1975) , 10.1109/T-C.1975.224186
Thomas C. Bartee, David I. Schneider, Computation with finite fields Information & Computation. ,vol. 6, pp. 79- 98 ,(1963) , 10.1016/S0019-9958(63)90129-3
A. Mukhopadhyay, G. Schmitz, Minimization of Exclusive or and Logical Equivalence Switching Circuits IEEE Transactions on Computers. ,vol. C-19, pp. 132- 140 ,(1970) , 10.1109/T-C.1970.222878
K.S. Menger, A Transform for Logic Networks IEEE Transactions on Computers. ,vol. 18, pp. 241- 250 ,(1969) , 10.1109/T-C.1969.222637