Bilinear cryptography using Lie algebras from p-groups
Publish place: Mathematics and Computational Sciences، Vol: 1، Issue: 2
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMCS-1-2_006
تاریخ نمایه سازی: 17 خرداد 1400
Abstract:
Pairings are particular bilinear maps, and they have been defined 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 ۲۰۱۳. Also Mahalanobis et al. proposed bilinear cryptography using groups of nilpotency class two in ۲۰۱۷. 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.
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Authors
Elaheh Khamseh
Department of Mathematics, Islamic Azad university, Shahr-e-Qods Branch, Tehran, Iran.