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Title: :  AN AUTHENTICATION SECRET KEY GENERATION SCHEME USING BILINEAR SELF- PAIRING MAP BASED ON ELLIPTIC CURVE CRYPTOGRAPHY
PaperId: :  6116
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 3 Issue 4 2017
DUI:    16.0415/IJARIIE-6116
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
MANOJ KUMARGurukula Kangri Vishwavidyalaya, Haridwar, Uttrakhand-249404, India

Abstract

COMPUTER SCIENCE AND MATHEMATICS
Authentication protocols, Elliptic curve cryptography, Bilinear paring maps, Torsion Points, Finite Fields.
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.

Citations

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IJARIIE 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 Volume 3 Issue 4 2017 Page 1089-1095
MLA 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 3.4(2017) : 1089-1095.
APA MANOJ KUMAR. (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.
Chicago 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 3, no. 4 (2017) : 1089-1095.
Oxford 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, 2017, p. 1089-1095. Available from IJARIIE, http://ijariie.com/AdminUploadPdf/AN_AUTHENTICATION_SECRET_KEY_GENERATION_SCHEME_USING_BILINEAR_SELF__PAIRING_MAP_BASED_ON_ELLIPTIC_CURVE_CRYPTOGRAPHY_ijariie6116.pdf (Accessed : 18 September 2019).
Harvard MANOJ KUMAR. (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. 1089-1095IJARIIE [Online]. Available at: http://ijariie.com/AdminUploadPdf/AN_AUTHENTICATION_SECRET_KEY_GENERATION_SCHEME_USING_BILINEAR_SELF__PAIRING_MAP_BASED_ON_ELLIPTIC_CURVE_CRYPTOGRAPHY_ijariie6116.pdf (Accessed : 18 September 2019)
IEEE 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, Jul-Aug 2017. [Online]. Available: http://ijariie.com/AdminUploadPdf/AN_AUTHENTICATION_SECRET_KEY_GENERATION_SCHEME_USING_BILINEAR_SELF__PAIRING_MAP_BASED_ON_ELLIPTIC_CURVE_CRYPTOGRAPHY_ijariie6116.pdf [Accessed : 18 September 2019].
Turabian 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 [Online]. volume 3 number 4 (18 September 2019).
Vancouver 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 [Internet]. 2017 [Cited : 18 September 2019]; 3(4) : 1089-1095. Available from: http://ijariie.com/AdminUploadPdf/AN_AUTHENTICATION_SECRET_KEY_GENERATION_SCHEME_USING_BILINEAR_SELF__PAIRING_MAP_BASED_ON_ELLIPTIC_CURVE_CRYPTOGRAPHY_ijariie6116.pdf
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