L32-Certless - Certificate-based to certificateless Crypto...

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Certificate Certificate - - based to based to certificateless certificateless Crypto Crypto Conventional public key cryptosystem – Public key is a random bit string. – Requires Public key certification and Certificate management infrastructure. Identity (ID) based cryptosystem – Public key is simply the user’s identity. – Simplifying key management process. Bilinear pairings on elliptic curve have found interesting properties and its suitability in ID-based cryptosystem.
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Bilinear Pairings on Elliptic Curve Bilinear Pairings on Elliptic Curve Bilinear Pairing: Let (G 1 , +) and (G 2 , ·) be two cyclic group of order prime q and P is a generator of G 1 . A pairing is a mapping e:G 1 x G 1 G 2 that has the following properties: – Bilinear: e(aP, bQ) = e(P, Q) ab for all P, Q G 1 and a, b Z q * – Non-Degenerate: There exists P, Q G 1 such that e(P, Q) 1 – Efficiently computable: e(P, Q) for all P, Q G 1 Elliptic Curve Discrete Logarithm Problem(DLP): Given
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This note was uploaded on 09/15/2010 for the course CSE IT325 taught by Professor Maniklaldas during the Spring '09 term at Punjab Engineering College.

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L32-Certless - Certificate-based to certificateless Crypto...

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