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Divided Difference Methods for Galois Switching Functions
March 1978 (vol. 27 no. 3)
pp. 232-238
ASCII Text
x 
 
T.C. Wesselkamper, "Divided Difference Methods for Galois Switching Functions," IEEE Transactions on Computers, vol. 27, no. 3, pp. 232-238, March, 1978.
 
 
BibTex
x
 
@article{ 10.1109/TC.1978.1675076,
author = {T.C. Wesselkamper},
title = {Divided Difference Methods for Galois Switching Functions},
journal ={IEEE Transactions on Computers},
volume = {27},
number = {3},
issn = {0018-9340},
year = {1978},
pages = {232-238},
doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1978.1675076},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - Divided Difference Methods for Galois Switching Functions
IS - 3
SN - 0018-9340
SP232
EP238
EPD - 232-238
A1 - T.C. Wesselkamper,
PY - 1978
KW - MR Categories: 12C05
KW - 41A10
KW - Divided difference methods
KW - finite field
KW - Newton's interpolation theorem
KW - Reed-Muller decomposition theorem.
KW - CR Categories: 5.30
KW - 6.31
KW - 5.13.
VL - 27
JA - IEEE Transactions on Computers
ER -
 
T.C. Wesselkamper, Department of Computer Science, Virginia Polytechnic Institute and State University
An alternative is provided to a recently published method of Benjauthrit and Reed for calculating the coefficients of the polynomial expansion of a given function. The method is exhibited for functions of one and two variables. The relative advantages and disadvantages of the two methods are discussed. Some empirical results are given for GF(9) and GF(16). It is shown that functions with DON'T CARE states are represented by a polynomial of minimal degree by this method.
Index Terms:
MR Categories: 12C05, 41A10, Divided difference methods, finite field, Newton's interpolation theorem, Reed-Muller decomposition theorem., CR Categories: 5.30, 6.31, 5.13.
Citation:
T.C. Wesselkamper, "Divided Difference Methods for Galois Switching Functions," IEEE Transactions on Computers, vol. 27, no. 3, pp. 232-238, March 1978, doi:10.1109/TC.1978.1675076
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