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arXiv · 1512.00943

A Combinatorial Problem Related to Sparse Systems of Equations

Peter Horak·Igor Semaev·Zsolt Tuza
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Abstract

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

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Peter Horak, Igor Semaev, Zsolt Tuza. 2015-12-03. A Combinatorial Problem Related to Sparse Systems of Equations. https://arxiv.org/abs/1512.00943

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