TY - JOUR
ID - 242145
TI - Bilinear cryptography using Lie algebras from p-groups
JO - Mathematics and Computational Sciences
JA - MCS
LA - en
SN - 2717-2708
AU - Khamseh, Elaheh
AD - Department of Mathematics, Islamic Azad university, Shahr-e-Qods Branch, Tehran, Iran.
Y1 - 2021
PY - 2021
VL - 2
IS - 1
SP - 71
EP - 77
KW - Lie algebra
KW - Bilinear map
KW - p-group
DO - 10.30511/mcs.2021.522222.1015
N2 - Pairings are particular bilinear maps, and they have been defined based on elliptic curves whichare abelian groups. In cryptography and security problems use these pairings. Mrabet et al. proposedpairings from a tensor product of groups in 2013. Also Mahalanobis et al. proposed bilinear cryptographyusing groups of nilpotency class two in 2017. In this paper, I develop a novel idea of a bilinear cryptosystemusing Lie algebras from p-groups. First the researcher proposes pairing on Lie algebras from elliptic curves,and then pairings that can be constructed on Lie algebras from some of the non-abelian p-groups.
UR - https://mcs.qut.ac.ir/article_242145.html
L1 - https://mcs.qut.ac.ir/article_242145_44ca125b9078901a69de5d7d646e86f1.pdf
ER -