Bilinear cryptography using Lie algebras from p-groups
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:
Language:
English
Published:
Mathematics and Computational Sciences, Volume:2 Issue: 1, Winter 2021
Pages:
71 to 77
https://www.magiran.com/p2322259