@@ -24,10 +24,10 @@ All outputs include a Pedersen commitment of the form `r*G + v*H` with `r`
2424the blinding factor, ` v ` the value, and G and H two distinct generator points
2525on the same curve group.
2626
27- ### Aggregate Signatures (a.k.a. Schnorr, MuSig)
27+ ### Schnorr Signatures
2828
2929We suppose we have the SHA256 hash function and the same G curve as above. In
30- its simplest form, an aggregate signature is built from:
30+ its simplest form, a Schnorr signature is built from:
3131
3232* the message ` M ` to sign, in our case the transaction fee
3333* a private key ` x ` , with its matching public key ` x*G `
@@ -45,12 +45,13 @@ s*G = k*G + e * x*G
4545```
4646
4747In this simple case of someone sending a transaction to a receiver they trust
48- (see later for the trustless case), an aggregate signature can be directly
48+ (see later for the trustless case), a signature can be directly
4949built for a Grin transaction by taking the above private key ` x ` to be the sum
5050of output blinding factors minus the sum of input blinding factors. The resulting
5151kernel is assembled from the aggregate signature generated using ` r ` and the
5252public key ` r*G ` , and allows to verify non-inflation for all Grin transactions
53- (and signs the fees).
53+ (and signs the fees). In the case of a multi-signature, a more complex protocol called MuSig
54+ is used for generating a Schnorr signature.
5455
5556Because these signatures are built simply from a scalar and a public key, they
5657can be used to construct a variety of contracts using "simple" arithmetic.
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