diff --git a/bip-0032.mediawiki b/bip-0032.mediawiki
index c9ff38fa01..42e2e18b3d 100644
--- a/bip-0032.mediawiki
+++ b/bip-0032.mediawiki
@@ -52,10 +52,10 @@ Addition (+) of two coordinate pair is defined as application of the EC group op
Concatenation (||) is the operation of appending one byte sequence onto another.
As standard conversion functions, we assume:
-* point(p): returns the coordinate pair resulting from EC point multiplication (repeated application of the EC group operation) of the secp256k1 base point with the integer p.
+* point(p): returns the coordinate pair resulting from EC point multiplication (repeated application of the EC group operation) of the secp256k1 base point with the integer p (i.e., the operation used to compute a public key from a private key).
* ser32(i): serialize a 32-bit unsigned integer i as a 4-byte sequence, most significant byte first.
* ser256(p): serializes the integer p as a 32-byte sequence, most significant byte first.
-* serP(P): serializes the coordinate pair P = (x,y) as a byte sequence using SEC1's compressed form: (0x02 or 0x03) || ser256(x), where the header byte depends on the parity of the omitted y coordinate.
+* serP(P): serializes the coordinate pair P = (x,y) (i.e., the public key) as a byte sequence using [https://www.secg.org/sec1-v2.pdf SEC1]'s compressed form: (0x02 or 0x03) || ser256(x), where the header byte depends on the parity of the omitted y coordinate.
* parse256(p): interprets a 32-byte sequence as a 256-bit number, most significant byte first.