Efficient computation of elliptic curve scalar multiplication has been a significant problem since Koblitz [13] and Miller.
Efficient computation of elliptic curve scalar multiplication has been a significant problem since Koblitz [13] and Miller.
Jun 6, 2011 · The fundamental components of several pairing-based cryptosystems are pairing computation and el- liptic curve scalar multiplication. The ...
Sep 29, 2012 · A simple algorithm is called "double-and-add", as it just does this. In a simple example, we have 5=4+1=2·2+1, and thus 5·P=(2·2+1)·P=2·2·P+P.
The proposed method is efficient on elliptic curve scalar multiplication methods on pairing-friendly elliptic curves on which Atei pairing or optimal ...
May 11, 2019 · You have to know the doubling formula for a point on the curve, here for (0,376), and also the addition formula (usually these have different ...
Jul 30, 2021 · Pairings are special maps defined using elliptic curves and it can be applied to construct several cryptographic protocols such as identity-based encryption.
Typically, the most important elliptic curve operations in ZKP schemes are "multi scalar multiplication" (MSM) and "pairing product" (PP).
Mar 2, 2022 · In particular, we use complex multiplication to construct our special elliptic curves. ... Scalar multiplication is realised by repeated addition: ...
The core operation of elliptic curve cryptosystems is the scalar multiplication which multiplies some point on an elliptic curve by some (usually secret) ...
Missing: Pairing Friendly