Cybernetics and Systems Analysis

, Volume 32, Issue 6, pp 794–803 | Cite as

Polynomial expansion of symmetric boolean functions by the table method

  • L. B. Avgul'


The proposed method for polynomial expansion of SBF based on construction of the triangular tableTn(π(F)) of local codes of its derivatives has the lowest computational complexity among known methods. Constructing the table only once, the method easily determines all the “residual” functions ϑ rl km for various expansion parametersk andm.

Another advantage of the method is its applicability for polynomial expansion of arbitrary BF and partially symmetric BF. In this case, the base of the “triangle” is the truth table of the arbitrary BF or the local code (including convolved local code) of the partially symmetric BF.

The method can be successfully used for the synthesis of a wide class of digital networks.


Operating System Artificial Intelligence Computational Complexity System Theory Boolean Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • L. B. Avgul'

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