This package is now a sub-package in the btcec directory of the btcd repository.
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Implements support for the elliptic curves needed for bitcoin - a package from btcd
The sec256k1 curve has an efficiently computable endomorphism which can be used to speed up the scalar point multiplications. See section 3.5 of Guide to Elliptic Curve Cryptography - Hankerson, Menezes, Vanstone for details.
btcec should be modified to make use of the endomorphism for further speedup.
These functions currently work with ecdsa.PublicKey
and ecdsa.PrivateKey
, respectively. Since this package also provides additional functionality for public and private keys by casting them to their own types, these functions should make use of them as well.
ScalarBaseMult
can be significantly accelerated by making use of the fact it is multiplying by a fixed point that is known at compile time. See section 3.3.2 of Guide to Elliptic Curve Cryptography - Hankerson, Menezes, Vanstone for details.
Currently ScalarBaseMult
simply calls ScalarMult
which can make no such assumptions.
Currently ScalarMult
is performed using the basic left-to-right binary point multiplication algorithm. Thus, it can be accelerated by making use of non-adjacent form (NAF) and windowing. See the NAF and Window sub-sections in section 3.3.1 of Guide to Elliptic Curve Cryptography - Hankerson, Menezes, Vanstone for details.
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