forked from RetiredC/Kang-1
-
Notifications
You must be signed in to change notification settings - Fork 0
Solving ECDLP with Kangaroos - Part #1
License
larry6868/Kang-1
Folders and files
Name | Name | Last commit message | Last commit date | |
---|---|---|---|---|
Repository files navigation
PART 1. Discussion thread: https://bitcointalk.org/index.php?topic=5517607 This software demonstrates various ways to solve the ECDLP using Kangaroos. The required number of operations is approximately K * sqrt(range), where K is a coefficient that depends on the method used. This software demonstrates four methods: 1 - Classic. The simplest method. There are two groups of kangaroos: tame and wild. As soon as a collision between any tame and wild kangaroos happens, the ECDLP is solved. In practice, K is approximately 2.1 for this method. 2 - 3-way. A more advanced method. There are three groups of kangaroos: tame, wild1, and wild2. As soon as a collision happens between any two types of kangaroos, the ECDLP is solved. In practice, K is approximately 1.6 for this method. 3 - Mirror. This method uses two groups of kangaroos and the symmetry of the elliptic curve to improve K. Another trick is to reduce the range for wild kangaroos. In practice, K is approximately 1.3 for this method. The main issue with this method is that the kangaroos loop continuously. 4 - SOTA. This method uses three groups of kangaroos and the symmetry of the elliptic curve. In practice, K is approximately 1.15 for this method. The main issue is the same as in the Mirror method. I couldn’t find any papers about this method, so let's assume that I invented it :) Important note: this software handles kangaroo looping in a very simple way. This method is bad for large ranges higher than 100 bits. Next part will demonstrate a good way to handle loops.
About
Solving ECDLP with Kangaroos - Part #1
Resources
License
Stars
Watchers
Forks
Releases
No releases published
Packages 0
No packages published
Languages
- C++ 94.4%
- C 5.6%