On Tue, 2008-10-28 at 17:30 -0400, Dale Worley wrote:
> On Mon, 2008-10-27 at 17:05 -0400, Scott Lawrence wrote:
> > > Can loopdetectionkey be reduced to, say, 32 bits, rather than the full
> > > 128 bits?
> > 
> > I'd prefer not to mess with that right now, since it could cause false
> > loop detections if two loops generated the same hash.
> 
> Looking at BranchId::loopDetected, loopdetectkey's are only compared
> within the branch parameters of an individual message.  So every
> loopdetectkey is compared to maybe 20 other loopdetectkey's, which
> significantly reduces the chances for an accidental collision.
> 
> Fiddling with the math, if there are at most V Via's per message, and we
> want to have at most probability C of a collision in each message, we
> need at least log2(V/C) bits in loopdetectkey.  If V = 20 and C = 2^-32,
> we need at least 36.3 bits in loopdetectkey.  If we use 66 bits in
> loopdetectkey (about 1/2 of what we do now), then C = 2^-39 = 10^-18,
> which seems big enough for practical purposes, given that there are only
> a few billion phone calls a day on Earth.
> 
> So I propose that we abbreviate loopdetectkey to 66 bits (11 characters
> in base64).

Ha... my plan worked.  I didn't want to ask you to do the math, but
since you've done it...

Sounds good to me.

Martin take note - Dale is making all our messages significantly
smaller !

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