Ruslan Skuratovskii, Volodymyr Osadchyy, Aled Williams, "An Application of Metacyclic and Miller Moreno P-groups to Establishment Protocol," WSEAS Transactions on Mathematics, vol. 19, pp. 384-390, 2020, DOI:10.37394/23206.2020.19.39
Ruslan Skuratovskii, Volodymyr Osadchyy, Aled Williams. An Application of Metacyclic and Miller Moreno P-groups to Establishment Protocol.
WSEAS Transactions on Mathematics. 2020;19:384-390. 10.37394/23206.2020.19.39
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 19, 2020
An Application of Metacyclic and Miller Moreno P-groups to Establishment Protocol
Authors: , ,
Abstract: The protocol of Ko K., Lee S., are improved and generalized on base of metacyclic and nonmetacyclicp-groups of type Miller-Moreno (minimal non-abelian group). We show that the decompositionproblem in this group is intractable. It is proved that the conjugacy problem in this group is also intractable.Further, we have constructed an algorithm of generating (designing) of common key for a non-commutativegroup with two mutually commuting subgroups has been constructed by us. An application of generalmetacyclic group to control an entropy of key space is considered.
Keywords:
CDH and CSP problems, non-commutative cryptography, Miller-Moreno p-group, generalizationof CDH problem, conjugacy problem.
Pages: 384-390 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 19, 2020, Art. #39 DOI: 10.37394/23206.2020.19.39
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