Geodesic
Lower bound for the complexity of five-valued polarized polynomials
Diskretnaya Matematika, Tome 28 (2016) no. 4, pp. 29-37.

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The paper is devoted to the complexity of representation of $q$-valued functions by polarized polynomials and by matrix Kronecker forms of certain type. The complexity of a function is the minimal possible number of nonzero coefficients of a polynomial or a Kronecker form representing the function. It is known that for polynomial representation and representation by Kronecker forms of a certain type the maximal values of complexity in the class of all $q$-valued $n$-ary functions coincide. We establish the lower bound of these maximal values for five-valued functions.
Keywords: five-valued functions, polarized polynomial, Kronecker form, complexity lower bounds. 
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A. S. Baliuk; A. S. Zinchenko. Lower bound for the complexity of five-valued polarized polynomials. Diskretnaya Matematika, Tome 28 (2016) no. 4, pp. 29-37. http://geodesic.mathdoc.fr/item/DM_2016_28_4_a2/

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