A NOVEL AND SECURE MULTI-PARTY KEY EXCHANGE SCHEME USING TRILINEAR PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY
Mr. Vikash Kumar, P. Gupta, A.M.Senthil Kumar · International Journal of Pure and Apllied Mathematics · 2017
Elliptic curves have been broadly studied more than hundred years.Recently they have become a tool in various important applied fields such as coding theory, pseudorandom bit generation, number theory algorithms, etc.In the present paper we have proposed a trilinear pairing map based on elliptic curve using finitely generated free R -modules with rank three, where R is a commutative ring with unity; and we used this pairing map to a multi party key exchange scheme.Since the secret shared key generated among the members of the group is constructed by the contribution of each member of the group, it increases the security of the proposed scheme.