DERIVATION OF BOOLEAN FUNCTIONS BY THE BLOCKS METHOD

Abstract

A method for calculating using blocks of the partial derivatives of the boolean function which are represented in algebraic form { a polynomial form, disjunctive normal form and conjunctive normal form is proposed. The method can be used success- fully for functions which depend on a large number of variables (tens and hundreds). This method can be applied to solve many problems from di®erent areas such as: elaborating of encryption system with variable keys, some problems from discrete mathematics (systems isomorphism problem, problem of determining of chromatic number in graphs ect.).

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Keywords

boolean function, derivative of function, subsets of columns, block of partition

Citation

BULAT, M. et al. Derivation of boolean functions by the blocks method. In: The Third Conference of Mathematical Society of the Republic of Moldova: dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, 19-23 aug. 2014, Chisinau, Moldova: Proceedings IMCS-50.Ch., 2014, pp.318-321. ISBN 978-9975-68-244-2

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