Bitcoin ecdsa parameters are incorrect
There are several bitcoin ecdsa parameters are incorrect standards covering selection of curves for use in elliptic-curve cryptography ECC: NSA Suite B Each of these standards tries to ensure that the elliptic-curve discrete-logarithm problem ECDLP is difficult. None of these standards do a good job of ensuring ECC security. The core problem is that if you implement the standard curves, chances are you're doing it wrong: Your implementation produces incorrect results for some rare curve points.
Your implementation leaks secret data when the input isn't a curve point. Your implementation leaks secret data through branch timing. Your implementation leaks secret data through cache timing. Real-world ECC handles attacker-controlled input. Real-world ECC also reveals timing and, in some situations, much more side-channel information.
Real-world ECC has failure cases. Secure implementations bitcoin ecdsa parameters are incorrect the standard curves are theoretically possible but very hard. Most of these attacks would have been bitcoin ecdsa parameters are incorrect out by better choices of curves that allow simple implementations to be secure implementations.
This is the primary motivation for SafeCurves. Other attacks would have been ruled out by better choices at higher levels of ECC protocols. However, this security issue does bitcoin ecdsa parameters are incorrect interact with curve choices, so it is outside the scope of SafeCurves.
Efficiency All of the standards listed above add further constraints for the sake of efficiency. Subsequent research and to some extent previous research showed that essentially all of these efficiency-related decisions were suboptimal, that many of them actively damaged efficiency, and that some of them were bad for bitcoin ecdsa parameters are incorrect. SafeCurves does not attempt to correct the erroneous efficiency claims in the standards listed above.
SafeCurves does not consider efficiency issues, except to the extent that they interact with security issues. Evaluation targets The SafeCurves web site reports security assessments of various specific curves. Some of the curves listed on this site are deployed or have been proposed for deployment.
Some of the curves are merely toy examples meant to illustrate how curves can fail to meet various security criteria. Included as an illustration of multiplicative transfer and small discriminant. Introduction There are several different standards covering selection of curves for use in elliptic-curve cryptography ECC:
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