zec
/
halo2
mirror of https://github.com/zcash/halo2.git
1
0
Fork 0
Code Issues Projects Releases Wiki Activity

Merge pull request #722 from zcash/book-patch-pedersen 

[book] Fix typo in description of Pedersen commitments
This commit is contained in:
str4d 2023-01-20 21:37:43 +00:00 committed by GitHub
parent 2d60a5b946 a688c19f0d
commit caf9e71b30
No known key found for this signature in database
GPG Key ID: 4AEE18F83AFDEB23
1 changed files with 1 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

2
book/src/background/groups.md
View File

@ -12,7 +12,7 @@ base $G$, i.e. finding $x$ such that $P = [x] G$, is hard in general.
## Pedersen commitment
The Pedersen commitment [[P99]] is a way to commit to a secret message in a verifiable
way. It uses two random public generators $G, H \in \mathbb{G},$ where $\mathbb{G}$ is a
cryptographic group of order $p$. A random secret $r$ is chosen in $\mathbb{Z}_q$, and the
cryptographic group of order $q$. A random secret $r$ is chosen in $\mathbb{Z}_q$, and the
message to commit to $m$ is from any subset of $\mathbb{Z}_q$. The commitment is
$$c = \text{Commit}(m,r)=[m]G + [r]H.$$