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Nowadays sparse systems of equations occur frequently in science andengineering. In this contribution we deal with sparse systems common incryptanalysis. Given a cipher system, one converts it into a system of sparseequations, and then the system is solved to retrieve either a key or aplaintext. Raddum and Semaev proposed new methods for solving such sparsesystems. It turns out that a combinatorial MaxMinMax problem provides bounds onthe average computational complexity of sparse systems. In this paper weinitiate a study of a linear algebra variation of this MaxMinMax problem.

A Combinatorial Problem Related to Sparse Systems of Equations