diff --git a/docs/source/cryptography.md b/docs/source/cryptography.md
index 03fe22c3..48b2d88e 100644
--- a/docs/source/cryptography.md
+++ b/docs/source/cryptography.md
@@ -17,11 +17,8 @@ data = "message"
 tx_hash = hashlib.sha3_256(data).hexdigest()
 ```
 
-## Signature algorithm and keys
+## Signature Algorithm and Keys
 
-The signature algorithm used by BigchainDB is [ED25519](https://tools.ietf.org/html/draft-irtf-cfrg-eddsa-04)
-using the python [ed25519](https://github.com/warner/python-ed25519) module, overloaded by the [cryptoconditions library](https://github.com/bigchaindb/cryptoconditions).
+BigchainDB uses the [Ed25519](https://ed25519.cr.yp.to/) public-key signature system for generating its public/private key pairs (also called verifying/signing keys). Ed25519 is an instance of the [Edwards-curve Digital Signature Algorithm (EdDSA)](https://en.wikipedia.org/wiki/EdDSA). As of April 2016, EdDSA was in ["Internet-Draft" status with the IETF](https://tools.ietf.org/html/draft-irtf-cfrg-eddsa-05) but was [already widely used](https://ianix.com/pub/ed25519-deployment.html).
 
-The private key is the base58 encoded hexadecimal representation of private number.
-The public key is the base58 encoded hexadecimal representation of the
-compressed public numbers.
+BigchainDB uses the the [ed25519](https://github.com/warner/python-ed25519) Python package, overloaded by the [cryptoconditions library](https://github.com/bigchaindb/cryptoconditions).