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As far as I know non pairing pairing based cryptography is less time consuming than pairing based because, pairing based uses complex operations. Are there any advantages of pairing based cryptography over elliptic curves without using pairing based cryptography?

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closed as too broad by cygnusv, DrLecter, CodesInChaos, yyyyyyy, tylo Jun 22 '15 at 13:27

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ I think if you add more context to the question to make it more specific, we can reopen this question. $\endgroup$ – mikeazo Jun 22 '15 at 22:22
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If you can express your operation well using plain groups, go with normal elliptic curves. But the pairing adds additional mathematical structure, which enables new algorithms.

Some examples:

  • BLS signatures

    They're verifiably deterministic and small, 2x security level, instead of 3 to 4 times, with DSA/Schnorr/ElGamal signatures.

    These use the pairing as a decisional Diffie-Hellman oracle.

  • Identity based encryption using the Boneh–Franklin scheme.

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  • $\begingroup$ pairing based have any advantage over without using pairing based $\endgroup$ – Nubila Jun 22 '15 at 7:59
  • $\begingroup$ @Nubila I just posted two schemes that require pairings, what more do you want? $\endgroup$ – CodesInChaos Jun 22 '15 at 8:01
  • $\begingroup$ I am doing my mtech projct. It is the security of data sharing in cloud. For this I would like to use cerificateless cryptography.the base paper is implemented as without using pairing . so I want to modify it to with pairing scheme. So i want to know that which have any advantage.. $\endgroup$ – Nubila Jun 22 '15 at 8:14
  • $\begingroup$ Will u please help me?? $\endgroup$ – Nubila Jun 22 '15 at 8:17
  • $\begingroup$ @Nubila You didn't even link the paper you're talking about. You didn't give enough context. Your question isn't answerable like that. $\endgroup$ – CodesInChaos Jun 22 '15 at 8:20

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