Update ed25519.md

core/ed25519.md

@@ -3,7 +3,7 @@ Ed25519 is a type of EdDSA using SHA-512 and Curve25519 elliptic curve.
 
 ## Usage
 Solana uses ed25519-dalek library with the edwards representation of Curve25519  the signature verification is done using “verify_restrict” function. 
-Ed25519 digital signature scheme was standardized in [RFC8032](https://www.rfc-editor.org/rfc/rfc8032). Although the standardization, there are variations in signature verification in different implementations. Some variations have their own custom criteria that are check the validity of the signatures. We have to ensure that the signatures are non-malleable, can be verified in constant time and have abstracted implementation.
+Ed25519 digital signature scheme was standardized in [RFC8032](). Although the standardization, there are variations in signature verification in different implementations. Some variations have their own custom criteria that are check the validity of the signatures. We have to ensure that the signatures are non-malleable, can be verified in constant time and have abstracted implementation.
 
 ## Structure
 Each ed25519 signature is serialized into a fixed 64 byte sized array represented as [u8; 64] in rust. The Publickey is a [u8; 32] in serialized form. The verifier equation is of unbatched type given by R = [s]B - [k]A.
@@ -17,13 +17,13 @@ The scalar is multiplied by the Curves basepoint 'B' to give the publickey.
 
 A = a.B
 
-To generate a signature of a message M, the user first has to  generate a random number 'r' and multiply it with the basepoint B resulting in R.
+To generate a signature of a message M, the user first has to  generate a random nonce 'r' and multiply it with the basepoint B resulting in R.
 R = r.B
 
 Then a hash is generated using SHA-512 algorithm and a scalar 'k' is generated from the hash according to RFC-8032
-k <- H(R, A, M)
+k <-- H(R, A, M)
 
-To generate the final signature 'f', the algorithm computes this S = r + k.a
+To generate the final signature, the algorithm computes this f <-- r + k.s and