Twilight
Search…
Twilight
Twilight
TL;DR
Open Outcry Testnet
Twilight Spec
Intuition
Core Concepts
Accounts
Transaction
Stateless VM
Relayer Spec
Intuition
zk-Matchbook
Perpetual Futures Guide
Contributors
Powered By GitBook
Accounts
An account on the base layer is defined as a pair of pubkey and a commitment s.t.
Acci=(pki,comi)  s.t.  pki=(giri,hiri) Acc_i=(pk_i,com_i) \ \ s.t. \ \ pk_i = (g_i^{r_i},h^{r_i}_i) \
where g is the globally available generator point, r is a random scalar and h is defined as
hi=giskh_i=g_i^{sk}
Note h here is not a global generator point but an elgamal public key point. Commitment is defined as an elgamal style commitment scheme s.t.
com=(gi(ri∗ri′),gvhi(ri∗ri′))com=(g_i^{(r_i*r'_i)} ,g^vh_i^{(r_i*r'_i)})
where r' is a random scalar which updates the public key points to generate a new commitment for the key and v is the secret scalar of the balance in the account s.t.
0≤bl<2320\leq bl<2^{32}
 .

Updatable Accounts

A public key is updated using scalar multiplication of a random scalar
r1r_1
 with the group elements.
Update(pk,r1)=(gr1,hr1)=pk′Update(pk,r_1)= (g^{r_1},h^{r_1})=pk'
A commitment is updated by adding it to a new zero balance commitment, generated using
(pk,r2)(pk,r_2)
.
Update(com,r2)=com⋅Commitpk(0,r2)Update(com,r_2)=com \cdot Commit_{pk}(0,r_2)
Accounts are updated by updating public key
pk→pk′pk→ pk'
, generating a zero balance commitment using
(pk,r2)(pk,r_2)
and adding the previous and new commitment
compk(v)⋅compk(0,r2)com_{pk}(v) \cdot com_{pk}(0,r_2)
.
UpdateAcc(pk,com);r1,r2=Update(pk,r1);com⋅Commitpk(0,r2)UpdateAcc(pk, com); r_1,r_2=Update(pk,r_1);com\cdot Commit_{pk}(0,r_2)
This construction follows the Updatable Public Key primitive introduced in QuisQuis by Mieklejohn et.al. (2018).
​
Previous
Core Concepts
Next
Transaction
Last modified 1yr ago
Copy link
Contents
Updatable Accounts