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public keys aren't identical

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Anthony Towns 2019-08-22 10:11:10 +10:00
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@ -40,7 +40,7 @@ made:
[[File:bip-schnorr/speedup-batch.png|frame|This graph shows the ratio between the time it takes to verify ''n'' signatures individually and to verify a batch of ''n'' signatures. This ratio goes up logarithmically with the number of signatures, or in other words: the total time to verify ''n'' signatures grows with ''O(n / log n)''.]] [[File:bip-schnorr/speedup-batch.png|frame|This graph shows the ratio between the time it takes to verify ''n'' signatures individually and to verify a batch of ''n'' signatures. This ratio goes up logarithmically with the number of signatures, or in other words: the total time to verify ''n'' signatures grows with ''O(n / log n)''.]]
By reusing the same curve as Bitcoin has used for ECDSA, private and public keys remain identical for Schnorr signatures, and we avoid introducing new assumptions about elliptic curve group security. By reusing the same curve as Bitcoin has used for ECDSA, we are able to retain existing mechanisms for choosing private and public keys, and we avoid introducing new assumptions about elliptic curve group security.
== Description == == Description ==