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Stub out remaining sections, add overview of batching

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Henry de Valence 2018-04-05 14:00:23 -07:00
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docs/ristretto-notes.md
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@ -407,16 +407,25 @@ The choice of \\( Q\_4 = (i, 0) \\) when \\( a = -1 \\) is convenient since it s
## Decoding to Extended Coordinates
## Batched Double-and-Encode Using \\( \hat \theta \\)
The encoding is not batchable, since it requires an inverse square
root. However, since \\( \theta \circ \hat \theta = [2] P \\), it's
possible to compute the encoding of \\( [2]P \\) by using \\( \hat
\theta \\) instead of \\( \theta^{-1} \\). Since \\( \hat \theta \\) only
requires inversions, given \\( P\_1, \ldots, P\_n \\), it's possible
to compute the encodings of \\( [2]P\_1, \ldots, [2]P\_n \\) in a
batch.
XXX write up details
## Equality Testing
XXX write up details
## Elligator
## The Double-Ristretto Encoding
It's possible to do batch encoding of \\( [2]P \\) using the dual
isogeny \\(\hat{\theta}\\). Defer this for now.
## ???
XXX write up details
[ristretto_sage]: https://sourceforge.net/p/ed448goldilocks/code/ci/master/tree/aux/ristretto/ristretto.sage
[ristretto_libdecaf]: https://sourceforge.net/p/ed448goldilocks/code/ci/master/tree/