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Diffstat (limited to 'docs/IMPLEMENTATIONS.md')
| -rw-r--r-- | docs/IMPLEMENTATIONS.md | 7 |
1 files changed, 6 insertions, 1 deletions
diff --git a/docs/IMPLEMENTATIONS.md b/docs/IMPLEMENTATIONS.md index 4d17600..b4a4ea8 100644 --- a/docs/IMPLEMENTATIONS.md +++ b/docs/IMPLEMENTATIONS.md @@ -516,6 +516,10 @@ x_n &= X_n / Z_n; \qquad x_{n+1} = X_{n+1} / Z_{n+1} \\ y_n &= \frac{(x_n + x_1)((x_n + x_1)(x_{n+1} + x_1) + x_1^2 + y_1)}{x_1} + y_1 \end{align*} +### GLV scalar multiplication + +[^13] + ### Fixed-base windowing (BGMW) <u>Algorithm 3.41</u> and <u>Algorithm 3.42</u> in GECC[^1] @@ -544,4 +548,5 @@ elliptic Curve Cryptography. CRC Press, 2005-07-19. Discrete Mathematics and Itâ [^9]: MOLLER, Bodo: Securing Elliptic Curve Point Multiplication against Side-Channel Attacks. [^10]: MOLLER, Bodo: Improved Techniques for Fast Exponentiation. [^11]: MOLLER, Bodo: Fractional Windows Revisited: Improved Signed-Digit Representations for Efficient Exponentiation. -[^12]: KOYAMA, Kenji; TSURUOKA, Yukio: Speeding up Elliptic Cryptosystems by Using a Signed Binary Window Method.
\ No newline at end of file +[^12]: KOYAMA, Kenji; TSURUOKA, Yukio: Speeding up Elliptic Cryptosystems by Using a Signed Binary Window Method. +[^13]: GALLANT, Robert P.; LAMBERT, Robert J.; VANSTONE, Scott A.: Faster point multiplication on elliptic curves with efficient endomorphisms.
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