Np1sec/algebraic
Chatroom Setup
Description | Pseudo-code |
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Generate ephemeral DH private key of the room initiator | |
Generate DH key for BD, Triple DH and Signature | |
Set participant list |
Join
Description | Pseudo-code |
---|---|
Generate ephemeral DH private key | |
Generate DH key for BD, Triple DH and Signature | |
Broadcast User identity and the DH key | |
Receive other users' id/key | |
Compute Session Id | |
Generate Triple Diffie-Hellman P2P keys | }} |
Generate key confirmations | }} |
Generate secret shares | |
Generate public shares | |
Sign identity, shares | |
Broadcast key shares and confirmation | |
Receive other users' key shares and confirmation | |
Check validity of key confirmation | |
Check public shares | |
Check signatures | |
Recover secret shares | |
Generate session key | |
Broadcast session key confirmation |
Accept
Description | Pseudo-code |
---|---|
broadcast all user's identities | |
Receive other users' id/key and update participant list | |
Compute Session Id | |
Generate Triple Diffie-Hellman P2P key for the new participant | |
Generate key confirmations | |
Generate secret shares | |
Generate public shares | |
Sign identity, shares | |
Broadcast key shares and confirmation | |
Receive other users' key shares and new users confirmation | |
Check validity of key confirmation | |
Check public shares | |
Check signatures | |
Recover secret shares | |
Generate session key | |
Broadcast session key confirmation |
Leave
Description | Pseudo-code |
---|---|
Remove leaving user's id/key and update participant list | |
Compute Session Id | |
Generate secret shares | |
Generate public shares | |
Sign identity, shares | |
Broadcast key shares | |
Receive other users' key shares | |
Check public shares | |
Check signatures | |
Recover secret shares | |
Generate session key | |
Broadcast session key confirmation |
Send
Description | Pseudo-code |
---|---|
Generate new DH Key or new key share if needed and append | |
Append the hash of the session digest up to parent of current message | |
Sign the message | |
Encrypt | Failed to parse (PNG conversion failed; check for correct installation of latex and dvipng (or dvips + gs + convert)): e\leftarrow Enc_{k}_{{sid}}(m) |
Broadcast the message |
Receive
Description | Pseudo-code |
---|---|
check signature | |
decrypt messagen | |
Verify session id and hash | Failed to parse (syntax error): \sigma \leftarrow sid_i == sid_{rec} & h == Digest(parent\_id) |
Update key share or session key | |
return m |