From 3d34679f28d63e1a2172d1e64b99a2ed7b684190 Mon Sep 17 00:00:00 2001 From: Matthias Schiffer Date: Mon, 27 Oct 2014 02:58:56 +0100 Subject: docs: fixes for PDF build --- doc/source/crypto/ec25519.rst | 18 ++++++------------ 1 file changed, 6 insertions(+), 12 deletions(-) (limited to 'doc/source/crypto/ec25519.rst') diff --git a/doc/source/crypto/ec25519.rst b/doc/source/crypto/ec25519.rst index 48aadb7..caf109b 100644 --- a/doc/source/crypto/ec25519.rst +++ b/doc/source/crypto/ec25519.rst @@ -120,29 +120,23 @@ The two possible :math:`v` coordinates are: .. math:: - \begin{align} - v1 &= \texttt{0x20ae19a1b8a086b4e01edd2c7748d14c923d4d7e6d7c61b229e9c5a27eced3d9} \\ - v2 &= \texttt{0x5f51e65e475f794b1fe122d388b72eb36dc2b28192839e4dd6163a5d81312c14} - \end{align} + v1 &= \texttt{0x20ae19a1b8a086b4e01edd2c7748d14c923d4d7e6d7c61b229e9c5a27eced3d9} \\ + v2 &= \texttt{0x5f51e65e475f794b1fe122d388b72eb36dc2b28192839e4dd6163a5d81312c14} Out of :math:`(u,v_1)` and :math:`(u,v_2)`, the point :math:`(u,v_1)` has been arbitrarily chosen to be used in fastd; using the equivalence between Montgomery and twisted Edwards curves given by [BBJ+08]_ .. math:: - \begin{align} - x &= \frac{u}{v} \\ - y &= \frac{u-1}{u+1} - \end{align} + x &= \frac{u}{v} \\ + y &= \frac{u-1}{u+1} this leads to the coordinates .. math:: - \begin{align} - x &= \texttt{0x547c4350219f5e19dd26a3d6668b74346a8eb726eb2396e1228cfa397ffe6bd4} \\ - y &= \texttt{0x6666666666666666666666666666666666666666666666666666666666666658} - \end{align} + x &= \texttt{0x547c4350219f5e19dd26a3d6668b74346a8eb726eb2396e1228cfa397ffe6bd4} \\ + y &= \texttt{0x6666666666666666666666666666666666666666666666666666666666666658} which specify the generator point :math:`G` that is used by fastd's ``ec25519-fhmqvc``. Like :math:`(u,v_1)` on the Montgomery curve, the point :math:`G = (x, y)` on the twisted Edwards curve has the order -- cgit v1.2.3