diff --git a/README.md b/README.md
index 5d7a7d3..801775c 100644
--- a/README.md
+++ b/README.md
@@ -45,8 +45,7 @@ messaging service / privacy-preserving application.
 `key.detection_key` can be given to untrusted _adversarial_ servers.
 
 `gamma` is security property (_γ_) in the system. For a given gamma, a tag generated for a specific public key will
-validate against a random public key with probability 2^-gamma. The actual value of gamma needed to protect the metadata
-of a given application is specific to that application, the number of parties involved, the number of messages involved etc.
+validate against a random public key with a maximum probability of 2^-gamma.
 
 ## Generating Tags
     
@@ -56,16 +55,15 @@ This tag can be attached to a message in a metadata resistant system.
 
 ## Verifying Tags
 
-Extract a detection key for a given probability. This can then be 
-given to an adversarial server can test a given tag against a detection key:
+First it is necessary to extract a detection key for a given false positive probability 0 <= 2^-n <= 2^-γ.
+
+This extracted key can then be given to an adversarial server can test a given tag against a detection key e.g.:
 
     let detection_key = key.extract(5);
     if detection_key.test_tag(tag) {
-        // the message attached to this tag *might* be for the party associated with the detection key
+        // the message attached to this tag *might* be for the party associated with the detection key 
     } else {
         // the message attached to this tag is definitely *not* for the party associated with the detection key.
     }
 
- 
-