| Title |
On the associativity property of MPF over M16 / |
| Translation of Title |
Apie MLF, apibrėžtos virš M16, asociatyvumo savybę. |
| Authors |
Mihalkovich, Aleksejus |
| DOI |
10.15388/LMR.A.2018.02 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys: Lietuvos matematikų draugijos darbai. Serija A = Proceedings of the Lithuanian Mathematical Society, Ser. A.. Vilnius : Vilniaus universitetas. 2018, vol. 59, p. 7-12.. ISSN 0132-2818 |
| Keywords [eng] |
matrix power function (MPF) ; one-way function (OWF) ; non-commuting algebraic structures |
| Abstract [eng] |
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 M16, explore its basic properties and construct templates to use in our future work. |
| Published |
Vilnius : Vilniaus universitetas |
| Type |
Journal article |
| Language |
English |
| Publication date |
2018 |
