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sas: clarify ECDH process in step 12
As written, the spec is not clear what Bob's device is supposed to do as that device does not have Alice's device's private key. Signed-off-by: Sumner Evans <sumner@beeper.com>
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Clarify how to perform the ECDH exchange in step 12 of the SAS process.
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@ -660,10 +660,12 @@ The process between Alice and Bob verifying each other would be:
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11. Alice's device receives Bob's message and verifies the commitment
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11. Alice's device receives Bob's message and verifies the commitment
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hash from earlier matches the hash of the key Bob's device just sent
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hash from earlier matches the hash of the key Bob's device just sent
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and the content of Alice's `m.key.verification.start` message.
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and the content of Alice's `m.key.verification.start` message.
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12. Both Alice and Bob's devices perform an Elliptic-curve
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12. Both Alice and Bob's devices perform an Elliptic-curve Diffie-Hellman using
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Diffie-Hellman
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their private ephemeral key, and the other device's ephemeral public key
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(*ECDH(K<sub>A</sub><sup>private</sup>*, *K<sub>B</sub><sup>public</sup>*)),
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(*ECDH(K<sub>A</sub><sup>private</sup>*, *K<sub>B</sub><sup>public</sup>*)
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using the result as the shared secret.
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for Alice's device and
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*ECDH(K<sub>B</sub><sup>private</sup>*, *K<sub>A</sub><sup>public</sup>*)
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for Bob's device), using the result as the shared secret.
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13. Both Alice and Bob's devices display a SAS to their users, which is
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13. Both Alice and Bob's devices display a SAS to their users, which is
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derived from the shared key using one of the methods in this
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derived from the shared key using one of the methods in this
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section. If multiple SAS methods are available, clients should allow
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section. If multiple SAS methods are available, clients should allow
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