AN AUTHENTICATION SECRET KEY GENERATION SCHEME USING BILINEAR SELF- PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY
Abstract & Details
Research Area
COMPUTER SCIENCE AND MATHEMATICS
Keywords
Authentication protocols
Elliptic curve cryptography
Bilinear paring maps
Torsion Points
Finite Fields.
Abstract
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.
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Author Information
| # | Name | Institute / Affiliation |
|---|---|---|
| 1 | MANOJ KUMAR | Gurukula Kangri Vishwavidyalaya, Haridwar, Uttrakhand-249404, India |
How to Cite
Use the following formats to cite this article in your research.
APA Style
KUMAR, MANOJ (2017). AN AUTHENTICATION SECRET KEY GENERATION SCHEME USING BILINEAR SELF- PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY. International Journal of Advance Research and Innovative Ideas In Education, 3(4), 1089-1095.
MLA Style
KUMAR, MANOJ. "AN AUTHENTICATION SECRET KEY GENERATION SCHEME USING BILINEAR SELF- PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY." International Journal of Advance Research and Innovative Ideas In Education, vol. 3, no. 4, 2017, pp. 1089-1095.
IEEE Style
MANOJ KUMAR, "AN AUTHENTICATION SECRET KEY GENERATION SCHEME USING BILINEAR SELF- PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY," International Journal of Advance Research and Innovative Ideas In Education, vol. 3, no. 4, pp. 1089-1095, 2017.
Vancouver Style
KUMAR MANOJ. AN AUTHENTICATION SECRET KEY GENERATION SCHEME USING BILINEAR SELF- PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY. International Journal of Advance Research and Innovative Ideas In Education. 2017;3(4):1089-1095.
Harvard Style
KUMAR, MANOJ (2017) 'AN AUTHENTICATION SECRET KEY GENERATION SCHEME USING BILINEAR SELF- PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY', International Journal of Advance Research and Innovative Ideas In Education, 3(4), pp. 1089-1095.
Chicago Style
KUMAR, MANOJ. "AN AUTHENTICATION SECRET KEY GENERATION SCHEME USING BILINEAR SELF- PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY." International Journal of Advance Research and Innovative Ideas In Education 3, no. 4 (2017): 1089-1095.
Turabian Style
KUMAR, MANOJ. "AN AUTHENTICATION SECRET KEY GENERATION SCHEME USING BILINEAR SELF- PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY." International Journal of Advance Research and Innovative Ideas In Education 3, no. 4 (2017): 1089-1095.
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