Update public_key_authentication.md

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@ -25,24 +25,37 @@ To take advantage of PKA, the following is required:
Before using SCS3, it must be patched [scs3.patch.txt](https://github.com/polhenarejos/pico-hsm/files/8890050/scs3.patch.txt). See [SCS3](/doc/scs3.md "SCS3") for further details.
### Generate the authentication key
### Generate the authentication key
On a secondary device, generate a private key, on the ECC 256 bits (`brainpoolP256r1` or `secp192r1`). Label it with an easy name, such as "Authentication".
<img width="1037" alt="Captura de Pantalla 2022-06-13 a les 12 11 00" src="https://user-images.githubusercontent.com/55573252/173353764-4620ece4-0d82-4a23-a153-99bf912621a7.png">
Once finished, export the public key.
<img width="350" alt="Captura de Pantalla 2022-06-13 a les 12 11 39" src="https://user-images.githubusercontent.com/55573252/173353732-63f40572-a42f-4e5c-a9ab-6e52a083956b.png">
### Initialization
On the primary device, initialize it. When prompting for an authentication mechanism, select "Public Key Authentication".
<img width="412" alt="Captura de Pantalla 2022-06-13 a les 12 05 09" src="https://user-images.githubusercontent.com/55573252/173353661-17caf6db-0c76-4903-9b70-5afa79f5ae54.png"><img width="1037" alt="Captura de Pantalla 2022-06-13 a les 12 14 48" src="https://user-images.githubusercontent.com/55573252/173353822-310219dc-7c7d-4ece-9fd9-c7835c2688df.png">
Once finished, register the exported public key. A message of `0 authenticated public key(s) in 1 of 1 scheme` will appear if it is properly registered.
### Authentication
<img width="342" alt="Captura de Pantalla 2022-06-13 a les 12 15 44" src="https://user-images.githubusercontent.com/55573252/173353917-f3f99405-c7ff-43ce-8914-6f3b713df952.png"><img width="1037" alt="Captura de Pantalla 2022-06-13 a les 12 16 17" src="https://user-images.githubusercontent.com/55573252/173353946-ee7eacf9-cead-4804-ac7a-57848f7c822b.png">
Plug the secondary device that stores the private key (do not load the device in the SCS3 tool).
### Authentication
Plug the secondary device that stores the private key (do not load the device in the SCS3 tool) and initiate the public key authentication.
<img width="321" alt="Captura de Pantalla 2022-06-13 a les 12 19 47" src="https://user-images.githubusercontent.com/55573252/173353998-8f418ec6-d90d-4168-801f-51008c78824d.png">
Select the secondary card and the Authentication private key (or the name you labeled it).
<img width="435" alt="Captura de Pantalla 2022-06-13 a les 14 25 25" src="https://user-images.githubusercontent.com/55573252/173354044-50163113-829e-4d80-bbda-7b589849af73.png">
Introduce the PIN of the secondary device.
If the private key matches with the registered public key, the primary device will grant access and it will display `User PIN authenticated (9000)` (despite no PIN is provided).