Bilinear cryptography using Lie algebras from p-groups

Pairings are particular bilinear maps, and they have been de ned based on elliptic curves which are abelian groups. In cryptography and security problems use these pairings. Mrabet et al. proposed pairings from a tensor product of groups in 2013. Also Mahalanobis et al. proposed bilinear cryptography using groups of nilpotency class two in 2017. In this paper, I develop a novel idea of a bilinear cryptosystem using 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.