# Changes

## Np1sec

,/* Triple Diffie-Hellman authentication */ Note added about order of users

By using TDH secret both in p2p key as well as in key confirmation step, (n+1)sec both implicitly and explicitly authenticate the peers.

In Algorithm 1, TDH and the original group key exchange from [ACMP10] has been combined to provide a deniable authenticated group key exchange. Here, we single out TDH Algorithm 1.1 for better presentation of the protocol for the reader. Note, that the users run step 5 differently based on their order in the group. This measure ensures that the P2P key is computed the same between two parties, i.e, <math>k_{i,j} = k_{j,i}</math>.

'''Algorithm 1.1''' Triple Diffie-Hellman between <math>U_i</math> and <math>U_j</math> assuming i < j