@article{Mihalkovich_2018, title={On the associativity property of MPF over M16}, volume={59}, url={https://www.journals.vu.lt/LMR/article/view/14976}, DOI={10.15388/LMR.A.2018.02}, abstractNote={<p>The objective of this paper is to find suitable non-commuting algebraic structure to be used as a platform structure in the so-called matrix power function (MPF). We think it is non-trivial and interesting problem could be useful for candidate one-way function (OWF) construction with application in cryptography. Since the cornerstone of OWF construction using non-commuting algebraic structures is the satisfiability of certain associativity conditions, we consider one of the possible choices, i.e. the group <strong><em>M</em></strong><sub>16</sub>, explore its basic properties and construct templates to use in our future work. </p>}, number={A}, journal={Lietuvos matematikos rinkinys}, author={Mihalkovich, Aleksejus}, year={2018}, month={Dec.}, pages={7-12} }