Conditions of the Affine Extension of an Incompletely Defined Boolean Function
Keywords:Walsh coefficients, coefficients dustribution, incompletely defined Boolean function, affine function
AbstractThe 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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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 https://www.cai.sk/ojs/index.php/cai/article/view/132