AN AUTHENTICATION SECRET KEY GENERATION SCHEME USING BILINEAR SELF- PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY
Manoj Kumar M · International journal of advance research and innovative ideas in education · 2017
Elliptic curve cryptography (ECC) is an alternative approach for RSA scheme. Compared to its traditional counter parts, ECC offers the same level of security using much smaller keys. This result in faster computations and savings in memory, power and bandwidth those are especially important in constrained environments. More significantly, the advantage of ECC over its competitors increases, as the security needs increase over time. The present paper consist of an introduction of a multi self- pairing bilinear map on finitely generated free -modules with rank three, where is a commutative ring with unity. A multi self bilinear pairing on elliptic curve is constructed and we used this pairing map to generate secret shared key for a group communication.