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Recently, I have surveyed a few research papers related to roaming authentication protocol for wireless networks. For example: “Efficient Privacy-Preserving Authentication in Wireless Mobile Networks” by Hyo Jin Jo, Jung Ha Paik, and Dong Hoon Lee and “Secure and Efficient Handover authentication Based on Bilinear Pairing Functions” by He et. al.

They used type 1 pairing having MNT curve with embedding degree 6 for implementation of their protocols. They used PBC library for implementation. I have a three doubts regarding this:

  1. Is their schemes will provide the same security and efficiency as provided by the type 3 pairing using the same security parameters?
  2. Can we convert type 1 to type 3?
  3. Can we compare two protocols where one of them uses type 1 pairing and other uses type 3 pairing?
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Keep in mind recent work. To quote "One interesting consequence of these works is that “Type 1″ pairings are now essentially dead." – mikeazo May 12 '14 at 14:01

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