Conditions of the Affine Extension of an Incompletely Defined Boolean Function

Authors

  • Piotr Porwik

Keywords:

Walsh coefficients, coefficients dustribution, incompletely defined Boolean function, affine function

Abstract

The paper presents conditions of extension of the weakly defined Boolean functions to their full affine form. The main goal of the analysis is a fast estimation whether a given incompletely defined function can be extended to a full affine form. If it is possible a simple algorithm of the states completion has been proposed. In such a case undefined points are clearly replaced by 0, 1 values. Spectral coefficients of a Boolean function allow to determine whether a partially defined function can be realised as affine.

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Author Biography

Piotr Porwik

Institute of Computer Science, University of Silesia
Bedzinska 39, 41-200 Sosnowiec, Poland

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Published

2012-01-26

How to Cite

Porwik, P. (2012). Conditions of the Affine Extension of an Incompletely Defined Boolean Function. Computing and Informatics, 29(6+), 1073–1088. Retrieved from http://147.213.75.17/ojs/index.php/cai/article/view/132