Fixed argument pairings
A common scenario in many pairing-based cryptographic protocols is that one argument in the pairing is fixed as a long term secret key or a constant parameter in the system. In these situations, the runtime of Miller's algorithm can be significantly reduced by storing precomputed values that depend on the fixed argument, prior to the input or existence of the second argument. In light of recent developments in pairing computation, we show that the computation of the Miller loop can be sped up by up to 37 if precomputation is employed, with our method being up to 19.5 faster than the previous precomputation techniques.
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|Item Type:||Conference Paper|
|Keywords:||Pairings, Miller's algorithm, Tate pairing, ate pairing, precomputation|
|Subjects:||Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > DATA FORMAT (080400) > Data Encryption (080402)|
|Divisions:||Past > Institutes > Information Security Institute|
|Copyright Owner:||Copyright 2010 Springer|
|Copyright Statement:||This is the author-version of the work. Conference proceedings published, by Springer Verlag, will be available via SpringerLink http://www.springer.de/comp/lncs/|
|Deposited On:||05 Aug 2010 08:29|
|Last Modified:||01 Mar 2012 00:18|
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