diff --git a/README.md b/README.md
index 212808d..052eaae 100644
--- a/README.md
+++ b/README.md
@@ -758,7 +758,8 @@ Perform a participant's first step of a ChillDKG session.
   `hostpubkeys`.
 - `SecretKeyError` - If the length of `hostseckey` is not 32 bytes.
 - `FaultyParticipantOrCoordinatorError` - If `hostpubkeys[i]` is not a valid
-  public key for some `i`, which is indicated in the exception.
+  public key for some `i`, which is indicated in the exception. See
+  the documentation of the exception for further details.
 - `DuplicateHostpubkeyError` - If `hostpubkeys` contains duplicates.
 - `ThresholdError` - If `1 <= t <= len(hostpubkeys)` does not hold.
 - `OverflowError` - If `t >= 2^32` (so `t` cannot be serialized in 4 bytes).
@@ -791,19 +792,14 @@ Perform a participant's second step of a ChillDKG session.
 *Raises*:
 
 - `SecretKeyError` - If the length of `hostseckey` is not 32 bytes.
-  FIXME
-- `FaultyParticipantOrCoordinatorError` - If `cmsg1` is invalid. This can
-  happen if another participant has sent an invalid message to the
-  coordinator, or if the coordinator has sent an invalid `cmsg1`.
-
-  Further information is provided as part of the exception, including
-  a hint about which party might be to blame for the problem. The hint
-  should not be trusted and should be used only for debugging. In
-  particular, the hint may point at the wrong party, e.g., if the
-  coordinator is malicious or network connections are unreliable, and
-  as a consequence, the caller should not conclude that the party
-  hinted at is malicious.
-- `UnknownFaultyParticipantOrCoordinatorError` - TODO
+- `FaultyParticipantOrCoordinatorError` - If another known participant or the
+  coordinator is faulty. See the documentation of the exception for
+  further details.
+- `UnknownFaultyParticipantOrCoordinatorError` - If another unknown
+  participant or the coordinator is faulty, but running the optional
+  blame step of the protocol is necessary to determine a suspected
+  participant. See the documentation of the exception for further
+  details.
 
 #### participant\_finalize
 
diff --git a/python/chilldkg_ref/chilldkg.py b/python/chilldkg_ref/chilldkg.py
index 190f756..ce4183d 100644
--- a/python/chilldkg_ref/chilldkg.py
+++ b/python/chilldkg_ref/chilldkg.py
@@ -413,7 +413,8 @@ def participant_step1(
         `hostpubkeys`.
         SecretKeyError: If the length of `hostseckey` is not 32 bytes.
         FaultyParticipantOrCoordinatorError: If `hostpubkeys[i]` is not a valid
-            public key for some `i`, which is indicated in the exception.
+            public key for some `i`, which is indicated in the exception. See
+            the documentation of the exception for further details.
         DuplicateHostpubkeyError: If `hostpubkeys` contains duplicates.
         ThresholdError: If `1 <= t <= len(hostpubkeys)` does not hold.
         OverflowError: If `t >= 2^32` (so `t` cannot be serialized in 4 bytes).
@@ -462,19 +463,14 @@ def participant_step2(
 
     Raises:
         SecretKeyError: If the length of `hostseckey` is not 32 bytes.
-        FIXME
-        FaultyParticipantOrCoordinatorError: If `cmsg1` is invalid. This can
-            happen if another participant has sent an invalid message to the
-            coordinator, or if the coordinator has sent an invalid `cmsg1`.
-
-            Further information is provided as part of the exception, including
-            a hint about which party might be to blame for the problem. The hint
-            should not be trusted and should be used only for debugging. In
-            particular, the hint may point at the wrong party, e.g., if the
-            coordinator is malicious or network connections are unreliable, and
-            as a consequence, the caller should not conclude that the party
-            hinted at is malicious.
-        UnknownFaultyParticipantOrCoordinatorError: TODO
+        FaultyParticipantOrCoordinatorError: If another known participant or the
+            coordinator is faulty. See the documentation of the exception for
+            further details.
+        UnknownFaultyParticipantOrCoordinatorError: If another unknown
+            participant or the coordinator is faulty, but running the optional
+            blame step of the protocol is necessary to determine a suspected
+            participant. See the documentation of the exception for further
+            details.
     """
     params, idx, enc_state = state1
     enc_cmsg, enc_secshares = cmsg1