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