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judymcconville@roadrunner.com 2017-05-01 10:11:58 -07:00
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@ -676,7 +676,7 @@ The math of ECDSA is complex and difficult to understand. There are a number of
[WARNING]
====
((("warning and cautions", "digital signatures")))If the same value _k_ is used in the signing algorithm on two different transactions, the private key can be calculated and exposed to the world!
((("warnings and cautions", "digital signatures")))If the same value _k_ is used in the signing algorithm on two different transactions, the private key can be calculated and exposed to the world!
====
This is not just a theoretical possibility. We have seen this issue lead to exposure of private keys in a few different implementations of transaction signing algorithms in bitcoin. People have had funds stolen because of inadvertent re-use of a _k_ value. The most common reason for re-use of a _k_ value is an improperly initialized random-number generator.