diff --git a/analysis/rosenpass/03_identity_hiding.mpv b/analysis/rosenpass/03_identity_hiding.mpv
index 112ed6c..dc4901c 100644
--- a/analysis/rosenpass/03_identity_hiding.mpv
+++ b/analysis/rosenpass/03_identity_hiding.mpv
@@ -58,7 +58,7 @@ let secure_init_hello(initiator: kem_sk_tmpl, sidi : SessionId, psk: key_tmpl, r
 
   new epkit:kem_pk;    // epki
   new sctrt:bits;      // sctr 
-  new pidiCt:bits;      // pidiC
+  new pidi_ct:bits;      // pidi_ct
   new autht:bits;       // auth
 
   NEW_TRUSTED_SEED(seski_trusted_seed)
@@ -70,9 +70,9 @@ let secure_init_hello(initiator: kem_sk_tmpl, sidi : SessionId, psk: key_tmpl, r
 
 let secure_resp_hello(initiator: kem_sk_tmpl, responder: kem_sk_tmpl, sidi:SessionId, sidr:SessionId, biscuit_no:Atom, psk:key_tmpl) =
 
-  in(D, InitHello(=secure_sidi, epki, sctr, pidiC, auth));
+  in(D, InitHello(=secure_sidi, epki, sctr, pidi_ct, auth));
 
-  ih <- InitHello(sidi, epki, sctr, pidiC, auth);
+  ih <- InitHello(sidi, epki, sctr, pidi_ct, auth);
   NEW_TRUSTED_SEED(septi_trusted_seed)
   NEW_TRUSTED_SEED(sspti_trusted_seed)
   new last_cookie:key;
diff --git a/analysis/rosenpass/cookie.mpv b/analysis/rosenpass/cookie.mpv
index d28fdef..94cce02 100644
--- a/analysis/rosenpass/cookie.mpv
+++ b/analysis/rosenpass/cookie.mpv
@@ -19,7 +19,7 @@ fun CookieMsg(
   COOKIE_EV(event MCAT(eventLbl, _UnderLoadEV) (spkm, spkt, last_cookie);)	\
   msgB <- Envelope(mac1, RH2b(rh));	\
   mac2_key <- create_mac2_key(sskm, spkt)	\
-  let RespHello(sidi, sidr, ecti, scti, biscuit, auth) = rh in \
+  let RespHello(sidi, sidr, ecti, scti, biscuit_ct, auth) = rh in \
   if Envelope(mac2_key, msgB) = mac2 then	\
     COOKIE_EV(event MCAT(eventLbl, _CookieValidated) (spkm, last_cookie);)	\
     innerFunc	\
diff --git a/analysis/rosenpass/oracles.mpv b/analysis/rosenpass/oracles.mpv
index d21e6b2..0d8a32d 100644
--- a/analysis/rosenpass/oracles.mpv
+++ b/analysis/rosenpass/oracles.mpv
@@ -86,8 +86,8 @@ MTX_EV( event RHRjct(RespHello_t, key, kem_sk, kem_pk). )
 MTX_EV( event ICSent(RespHello_t, InitConf_t, key, kem_sk, kem_pk). )
 SES_EV( event InitiatorSession(RespHello_t, key). )
 let Oresp_hello(HS_DECL_ARGS) =
-  in(C, Cresp_hello(RespHello(sidr, =sidi, ecti, scti, biscuit, auth)));
-  rh <- RespHello(sidr, sidi, ecti, scti, biscuit, auth);
+  in(C, Cresp_hello(RespHello(sidr, =sidi, ecti, scti, biscuit_ct, auth)));
+  rh <- RespHello(sidr, sidi, ecti, scti, biscuit_ct, auth);
   /* try */ let ic = (
     ck_ini <- ck;
     RESPHELLO_CONSUME()
@@ -124,7 +124,7 @@ let Oinit_hello() =
   call <- Cinit_hello(sidr, biscuit_no, Ssskm, Spsk, Sspkt, Septi, Sspti, ih);
 #endif
   // TODO: This is ugly
-  let InitHello(sidi, epki, sctr, pidiC, auth) = ih in
+  let InitHello(sidi, epki, sctr, pidi_ct, auth) = ih in
   SETUP_HANDSHAKE_STATE()
   eski <- kem_sk0;
   epti <- rng_key(setup_seed(Septi)); // RHR4
diff --git a/analysis/rosenpass/protocol.mpv b/analysis/rosenpass/protocol.mpv
index 658b05f..bb82055 100644
--- a/analysis/rosenpass/protocol.mpv
+++ b/analysis/rosenpass/protocol.mpv
@@ -7,7 +7,7 @@ fun InitHello(
   SessionId, // sidi
   kem_pk,    // epki
   bits,      // sctr 
-  bits,      // pidiC
+  bits,      // pidi_ct
   bits       // auth
 ) : InitHello_t [data].
 
@@ -17,16 +17,16 @@ fun InitHello(
   /* not handled here */                /* IHI3 */ \
   MIX2(sid2b(sidi), kem_pk2b(epki))     /* IHI4 */ \
   ENCAPS_AND_MIX(sctr, spkr, sptr)      /* IHI5 */ \
-  ENCRYPT_AND_MIX(pidiC, pidi)          /* IHI6 */ \
+  ENCRYPT_AND_MIX(pidi_ct, pidi)        /* IHI6 */ \
   MIX2(kem_pk2b(spki), k2b(psk))        /* IHI7 */ \
   ENCRYPT_AND_MIX(auth, empty)          /* IHI8 */ \
-  ih <- InitHello(sidi, epki, sctr, pidiC, auth);
+  ih <- InitHello(sidi, epki, sctr, pidi_ct, auth);
 
 #define INITHELLO_CONSUME()                       \
   ck <- lprf1(CK_INIT, kem_pk2b(spkr)); /* IHR1 */ \
   MIX2(sid2b(sidi), kem_pk2b(epki))     /* IHR4 */ \
   DECAPS_AND_MIX(sskr, spkr, sctr)      /* IHR5 */ \
-  DECRYPT_AND_MIX(pid, pidiC)           /* IHR6 */ \
+  DECRYPT_AND_MIX(pid, pidi_ct)         /* IHR6 */ \
   LOOKUP_SENDER(pid)                    /* IHR6 */ \
   MIX2(kem_pk2b(spki), k2b(psk))        /* IHR7 */ \
   DECRYPT_AND_MIX(DUMMY(empty), auth)
@@ -46,17 +46,17 @@ fun RespHello(
   MIX2(sid2b(sidr), sid2b(sidi))   /* RHR3 */ \
   ENCAPS_AND_MIX(ecti, epki, epti) /* RHR4 */ \
   ENCAPS_AND_MIX(scti, spki, spti) /* RHR5 */ \
-  STORE_BISCUIT(biscuit)           /* RHR6 */ \
+  STORE_BISCUIT(biscuit_ct)        /* RHR6 */ \
   ENCRYPT_AND_MIX(auth, empty)     /* RHR7 */ \
-  rh <- RespHello(sidr, sidi, ecti, scti, biscuit, auth);
+  rh <- RespHello(sidr, sidi, ecti, scti, biscuit_ct, auth);
 
 #define RESPHELLO_CONSUME()                                    \
-  let RespHello(sidr, sidi, ecti, scti, biscuit, auth) = rh in \
+  let RespHello(sidr, sidi, ecti, scti, biscuit_ct, auth) = rh in \
   /* not handled here */               /* RHI2 */ \
   MIX2(sid2b(sidr), sid2b(sidi))       /* RHI3 */ \
   DECAPS_AND_MIX(eski, epki, ecti)     /* RHI4 */ \
   DECAPS_AND_MIX(sski, spki, scti)     /* RHI5 */ \
-  MIX(biscuit)                         /* RHI6 */ \
+  MIX(biscuit_ct)                      /* RHI6 */ \
   DECRYPT_AND_MIX(DUMMY(empty), auth)  /* RHI7 */
 
 type InitConf_t.
@@ -70,11 +70,11 @@ fun InitConf(
 #define INITCONF_PRODUCE()                  \
   MIX2(sid2b(sidi), sid2b(sidr)) /* ICI3 */ \
   ENCRYPT_AND_MIX(auth, empty)   /* ICI4 */ \
-  ic <- InitConf(sidi, sidr, biscuit, auth);
+  ic <- InitConf(sidi, sidr, biscuit_ct, auth);
 
 #define INITCONF_CONSUME()                        \
-  let InitConf(sidi, sidr, biscuit, auth) = ic in \
-  LOAD_BISCUIT(biscuit_no, biscuit)   /* ICR1 */    \
+  let InitConf(sidi, sidr, biscuit_ct, auth) = ic in \
+  LOAD_BISCUIT(biscuit_no, biscuit_ct)/* ICR1 */    \
   ENCRYPT_AND_MIX(rh_auth, empty)     /* ICIR */    \
   ck_rh <- ck;                        /* ---- */ /* TODO: Move into oracles.mpv */ \
   MIX2(sid2b(sidi), sid2b(sidr))      /* ICR3 */    \
diff --git a/papers/whitepaper.md b/papers/whitepaper.md
index f67a1ef..c006fb2 100644
--- a/papers/whitepaper.md
+++ b/papers/whitepaper.md
@@ -479,20 +479,20 @@ fn store_biscuit() {
       "biscuit additional data",
       spkr, sidi, sidr);
     let ct = XAEAD::enc(k, n, pt, ad);
-    let nct = concat(n, ct);
+    let biscuit_ct = concat(n, ct);
 
-    mix(nct)
-    nct
+    mix(biscuit_ct)
+    biscuit_ct
 }
 ```
-Note that the `mix(nct)` call updates the chaining key, but that update does not make it into the biscuit. Therefore, `mix(nct)` is reapplied in `load_biscuit`. The responder handshake code also needs to reapply any other operations modifying `ck` after calling `store_biscuit`. The handshake code on the initiator's side also needs to call `mix(nct)`.
+Note that the `mix(biscuit_ct)` call updates the chaining key, but that update does not make it into the biscuit. Therefore, `mix(biscuit_ct)` is reapplied in `load_biscuit`. The responder handshake code also needs to reapply any other operations modifying `ck` after calling `store_biscuit`. The handshake code on the initiator's side also needs to call `mix(biscuit_ct)`.
 
 
 ```pseudorust
-fn load_biscuit(nct) {
+fn load_biscuit(biscuit_ct) {
     // Decrypt the biscuit
     let k = biscuit_key;
-    let (n, ct) = nct;
+    let (n, ct) = biscuit_ct;
     let ad = lhash(
       "biscuit additional data",
       spkr, sidi, sidr);
@@ -512,7 +512,7 @@ fn load_biscuit(nct) {
 
     // Restore the chaining key
     ck ← pt.ck;
-    mix(nct);
+    mix(biscuit_ct);
 
     // Expose the biscuit no,
     // so the handshake code can differentiate
@@ -955,6 +955,8 @@ Changes, in particular:
     ```
 16. Point out explicitly that we use KEMs from NIST-Competition Round 3. Include links to the competition submission packages. Update citations to reflect the exact specification version.
 17. Consistent naming convention. Always use the term `secret key`, never  `private key`.
+18. `pidiC` -> `pidi_ct`; to make it clearer that this is a cipher text
+19. Where we refer to the biscuit ciphertext, we now use the term `biscuit_ct`. Previously we had used various variable names such as `nct` (nonce followed by cipher text) or just plain `biscuit`.
 
 #### 2025-06-24 – Specifying the `osk` used for WireGuard as a protocol extension
 
diff --git a/rosenpass/.test_vectors/crypto_server_test_vector_1.toml b/rosenpass/.test_vectors/crypto_server_test_vector_1.toml
index 89b2e4b..14a1db1 100644
--- a/rosenpass/.test_vectors/crypto_server_test_vector_1.toml
+++ b/rosenpass/.test_vectors/crypto_server_test_vector_1.toml
@@ -150,7 +150,7 @@ test_vec_set_code_location = "rosenpass/src/protocol/test_vector_sets.rs:44"
 
 [[entries]]
 entry_type = "Output"
-name = "ih.pidic"
+name = "ih.pidi_ct"
 value = "Y3Wstn84+vmUb/a/CtWHFixkdyTFKEaE7joUFM0vBZPehPAeDOXls/u5I1PvViF6"
 code_location = "rosenpass/src/protocol/protocol.rs:3615"
 test_vec_set_code_location = "rosenpass/src/protocol/test_vector_sets.rs:44"
diff --git a/rosenpass/src/hash_domains.rs b/rosenpass/src/hash_domains.rs
index cc0333b..df64779 100644
--- a/rosenpass/src/hash_domains.rs
+++ b/rosenpass/src/hash_domains.rs
@@ -166,7 +166,7 @@ hash_domain_ns!(
     protocol, cookie_key, "cookie-key");
 hash_domain_ns!(
     /// Hash domain based on [protocol] for calculating the peer id as transmitted (encrypted)
-    /// in [crate::msgs::InitHello::pidic].
+    /// in [crate::msgs::InitHello::pidi_ct].
     ///
     /// # Examples
     ///
@@ -179,7 +179,7 @@ hash_domain_ns!(
 hash_domain_ns!(
     /// Hash domain based on [protocol] for calculating the additional data
     /// during [crate::msgs::Biscuit] encryption, storing the biscuit into
-    /// [crate::msgs::RespHello::biscuit].
+    /// [crate::msgs::RespHello::biscuit_ct].
     ///
     /// # Examples
     ///
diff --git a/rosenpass/src/msgs.rs b/rosenpass/src/msgs.rs
index f6ea1b6..9fbeba2 100644
--- a/rosenpass/src/msgs.rs
+++ b/rosenpass/src/msgs.rs
@@ -135,7 +135,7 @@ pub struct InitHello {
     /// Classic McEliece Ciphertext
     pub sctr: [u8; StaticKem::CT_LEN],
     /// Encryped: 16 byte hash of McEliece initiator static key
-    pub pidic: [u8; Aead::TAG_LEN + 32],
+    pub pidi_ct: [u8; Aead::TAG_LEN + 32],
     /// Encrypted TAI64N Time Stamp (against replay attacks)
     pub auth: [u8; Aead::TAG_LEN],
 }
@@ -188,7 +188,7 @@ pub struct RespHello {
     /// Empty encrypted message (just an auth tag)
     pub auth: [u8; Aead::TAG_LEN],
     /// Responders handshake state in encrypted form
-    pub biscuit: [u8; BISCUIT_CT_LEN],
+    pub biscuit_ct: [u8; BISCUIT_CT_LEN],
 }
 
 /// This is the third message sent by the initiator to the responder
@@ -233,7 +233,7 @@ pub struct InitConf {
     /// Copied from RespHello
     pub sidr: [u8; 4],
     /// Responders handshake state in encrypted form
-    pub biscuit: [u8; BISCUIT_CT_LEN],
+    pub biscuit_ct: [u8; BISCUIT_CT_LEN],
     /// Empty encrypted message (just an auth tag)
     pub auth: [u8; Aead::TAG_LEN],
 }
diff --git a/rosenpass/src/protocol/protocol.rs b/rosenpass/src/protocol/protocol.rs
index ff1a155..6b6dd61 100644
--- a/rosenpass/src/protocol/protocol.rs
+++ b/rosenpass/src/protocol/protocol.rs
@@ -3608,7 +3608,7 @@ impl CryptoServer {
         // IHI6
         protocol_section!("IHI6", {
             hs.core.encrypt_and_mix(
-                ih.pidic.as_mut_slice(),
+                ih.pidi_ct.as_mut_slice(),
                 self.pidm(peer.get(self).protocol_version.keyed_hash())?
                     .as_ref(),
             )?;
@@ -3707,7 +3707,7 @@ impl CryptoServer {
         // IHR6
         let peer = protocol_section!("IHR6", {
             let mut peerid = PeerId::zero();
-            core.decrypt_and_mix(&mut *peerid, &ih.pidic)?;
+            core.decrypt_and_mix(&mut *peerid, &ih.pidi_ct)?;
             self.find_peer(peerid)
                 .with_context(|| format!("No such peer {peerid:?}."))?
         });
@@ -3784,7 +3784,7 @@ impl CryptoServer {
 
         // RHR6
         protocol_section!("RHR6", {
-            core.store_biscuit_with_test_vector::<TV>(self, peer, &mut rh.biscuit)?;
+            core.store_biscuit_with_test_vector::<TV>(self, peer, &mut rh.biscuit_ct)?;
             TV::check_value(
                 &test_values.chaining_key_rhr_6,
                 &core.ck.clone().danger_into_secret(),
@@ -3872,7 +3872,7 @@ impl CryptoServer {
 
         // RHI6
         protocol_section!("RHI6", {
-            core.mix(&rh.biscuit)?;
+            core.mix(&rh.biscuit_ct)?;
         });
 
         // RHI7
@@ -3889,7 +3889,7 @@ impl CryptoServer {
         // ICI3
         protocol_section!("ICI3", {
             core.mix(&ic.sidi)?.mix(&ic.sidr)?;
-            ic.biscuit.copy_from_slice(&rh.biscuit);
+            ic.biscuit_ct.copy_from_slice(&rh.biscuit_ct);
         });
 
         // ICI4
@@ -3937,7 +3937,7 @@ impl CryptoServer {
         let (peer, biscuit_no, mut core) = protocol_section!("ICR1", {
             HandshakeState::load_biscuit(
                 self,
-                &ic.biscuit,
+                &ic.biscuit_ct,
                 SessionId::from_slice(&ic.sidi),
                 SessionId::from_slice(&ic.sidr),
                 keyed_hash,