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@@ -80,18 +80,19 @@ The current point addition and point doubling algorithms come from the
[EFD][]. At least at the moment, we're only interested in ECDSA with
the NIST prime curves, so we use algorithms optimized for a=-3.
-The point multiplication algorithm is a Montgomery Ladder, which is
-not the fastest possible algorithm, but is relatively easy to confirm
-by inspection as constant-time. Point multiplication could probably
-be made faster by using a non-adjacent form (NAF) representation for
-the scalar, but the author doesn't yet understand that well enough to
+The point multiplication algorithm is a straightforward square and add
+loop, which is not the fastest possible algorithm, but is relatively
+easy to confirm by inspection as being constant-time within the limits
+imposed by the NIST curves. Point multiplication could probably be
+made faster by using a non-adjacent form (NAF) representation for the
+scalar, but the author doesn't yet understand that well enough to
implement it as a constant-time algorithm. In theory, changing to a
NAF representation could be done without any change to the public API.
Points stored in keys and curve parameters are in affine format, but
-all point arithmetic is performed in Jacobian projective coordinates,
-with the coordinates in Montgomery form; final mapping back to affine
-coordinates also handles the final Montgomery reduction.
+point arithmetic is performed in Jacobian projective coordinates, with
+the coordinates themselves in Montgomery form; final mapping back to
+affine coordinates also handles the final Montgomery reduction.
## API ##