Re: [P1363:] 1363.3: Using generalized schemes / choice of pairings
It seems like we've heard two voices in favour of generalized schemes
and none as yet against. If it continues to be the case that we hear
no voices against, a good next step is for Luther to reach out to
the designers of the generalizable schemes and work out who's going to
be in charge of providing the changed text necessary to support those
schemes.
Cheers,
William
> -----Original Message-----
> From: Paulo S. L. M. Barreto [mailto:pbarreto@xxxxxxxxxxx]
> Sent: Wednesday, July 02, 2008 5:32 AM
> To: STDS-P1363-DISCUSS@xxxxxxxxxxxxxxxxx
> Subject: Re: [P1363:] 1363.3: Using generalized schemes / choice of
> pairings
>
> Dear William,
>
> > One of Nigel Smart's comments was that the schemes in 1363.3
> > should be generalized to allow a choice of pairings. Any thoughts
> > about this? I've heard off-list that the BF proposers don't think
> > this is valuable to them, but off-list conversations aren't
> > definitive.
> >
> > * Does it make sense for all schemes?
> > * Does it make sense for some schemes only?
> > * Is it too early in the use of IBE to start standardizing
> > different pairings, and should we focus on a single
> > interoperable specification?
>
> Different pairings may not be too relevant for the original BF scheme
> in
> particular, but they are crucial for other identity-based protocols.
> Some of
> them present very different features when instantiated on distinct
> choices of
> pairings.
>
> For instance (I apologise for this example but it is the one that most
> easily
> comes to my mind to make my point clear), McCullagh-Barreto identity-
> based key
> agreement provides key escrow when there is an efficiently computable
> isomorphism (or projection) psi: <Q> -> <P> for a pairing e: <P> x <Q>
> -> <g>;
> this is the case of pairings defined on supersingular curves or when
> <Q> is
> not the trace-zero subgroup, while for essentially all other pairings
> key
> escrow is infeasible. It is not hard to devise IBE schemes with
similar
> or
> anyway related properties.
>
> Best wishes,
>
> Paulo Barreto.
>
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