diff --git a/dhkem/src/arithmetic.rs b/dhkem/src/arithmetic.rs
index ef24cb9..a639024 100644
--- a/dhkem/src/arithmetic.rs
+++ b/dhkem/src/arithmetic.rs
@@ -1,5 +1,5 @@
-use crate::{Decapsulator, DhKem, EncapsulatedKey, Encapsulator, SharedSecret};
-use elliptic_curve::ecdh::{EphemeralSecret, SharedSecret as EcdhSecret};
+use crate::{Decapsulator, DhKem, Encapsulator};
+use elliptic_curve::ecdh::{EphemeralSecret, SharedSecret};
 use elliptic_curve::{CurveArithmetic, PublicKey};
 use kem::{Decapsulate, Encapsulate};
 use rand_core::CryptoRngCore;
@@ -7,8 +7,7 @@ use std::marker::PhantomData;
 
 pub struct ArithmeticKem<C: CurveArithmetic>(PhantomData<C>);
 
-impl<C> Encapsulate<EncapsulatedKey<PublicKey<C>>, SharedSecret<EcdhSecret<C>>>
-    for Encapsulator<PublicKey<C>>
+impl<C> Encapsulate<PublicKey<C>, SharedSecret<C>> for Encapsulator<PublicKey<C>>
 where
     C: CurveArithmetic,
 {
@@ -17,30 +16,26 @@ where
     fn encapsulate(
         &self,
         rng: &mut impl CryptoRngCore,
-    ) -> Result<(EncapsulatedKey<PublicKey<C>>, SharedSecret<EcdhSecret<C>>), Self::Error> {
+    ) -> Result<(PublicKey<C>, SharedSecret<C>), Self::Error> {
         // ECDH encapsulation involves creating a new ephemeral key pair and then doing DH
         let sk = EphemeralSecret::random(rng);
         let pk = sk.public_key();
         let ss = sk.diffie_hellman(&self.0);
 
-        Ok((EncapsulatedKey(pk), SharedSecret(ss)))
+        Ok((pk, ss))
     }
 }
 
-impl<C> Decapsulate<EncapsulatedKey<PublicKey<C>>, SharedSecret<EcdhSecret<C>>>
-    for Decapsulator<EphemeralSecret<C>>
+impl<C> Decapsulate<PublicKey<C>, SharedSecret<C>> for Decapsulator<EphemeralSecret<C>>
 where
     C: CurveArithmetic,
 {
     type Error = ();
 
-    fn decapsulate(
-        &self,
-        encapsulated_key: &EncapsulatedKey<PublicKey<C>>,
-    ) -> Result<SharedSecret<EcdhSecret<C>>, Self::Error> {
-        let ss = self.0.diffie_hellman(&encapsulated_key.0);
+    fn decapsulate(&self, encapsulated_key: &PublicKey<C>) -> Result<SharedSecret<C>, Self::Error> {
+        let ss = self.0.diffie_hellman(&encapsulated_key);
 
-        Ok(SharedSecret(ss))
+        Ok(ss)
     }
 }
 
@@ -50,8 +45,8 @@ where
 {
     type DecapsulatingKey = Decapsulator<EphemeralSecret<C>>;
     type EncapsulatingKey = Encapsulator<PublicKey<C>>;
-    type EncapsulatedKey = EncapsulatedKey<PublicKey<C>>;
-    type SharedSecret = SharedSecret<EcdhSecret<C>>;
+    type EncapsulatedKey = PublicKey<C>;
+    type SharedSecret = SharedSecret<C>;
 
     fn random_keypair(
         rng: &mut impl CryptoRngCore,
@@ -64,11 +59,11 @@ where
 }
 
 #[cfg(test)]
-impl<C> crate::SecretBytes for SharedSecret<EcdhSecret<C>>
+impl<C> crate::SecretBytes for SharedSecret<C>
 where
     C: CurveArithmetic,
 {
     fn as_slice(&self) -> &[u8] {
-        self.0.raw_secret_bytes().as_slice()
+        self.raw_secret_bytes().as_slice()
     }
 }
diff --git a/dhkem/src/lib.rs b/dhkem/src/lib.rs
index d5659e4..97b0c54 100644
--- a/dhkem/src/lib.rs
+++ b/dhkem/src/lib.rs
@@ -5,10 +5,6 @@ use rand_core::CryptoRngCore;
 pub struct Encapsulator<X>(X);
 /// Newtype for a piece of data that may be decapsulated
 pub struct Decapsulator<X>(X);
-/// Newtype for a shared secret
-pub struct SharedSecret<X>(X);
-/// Newtype for an encapsulated key
-pub struct EncapsulatedKey<X>(X);
 
 #[cfg(test)]
 pub trait SecretBytes {
diff --git a/dhkem/src/x25519_kem.rs b/dhkem/src/x25519_kem.rs
index 665c5d6..d4ff410 100644
--- a/dhkem/src/x25519_kem.rs
+++ b/dhkem/src/x25519_kem.rs
@@ -1,48 +1,41 @@
-use crate::{Decapsulator, DhKem, EncapsulatedKey, Encapsulator, SharedSecret};
+use crate::{Decapsulator, DhKem, Encapsulator};
 use kem::{Decapsulate, Encapsulate};
 use rand_core::CryptoRngCore;
-use x25519::{PublicKey, ReusableSecret, SharedSecret as X25519Secret};
+use x25519::{PublicKey, ReusableSecret, SharedSecret};
 
 pub struct X25519;
 
-impl Encapsulate<EncapsulatedKey<PublicKey>, SharedSecret<X25519Secret>>
-    for Encapsulator<PublicKey>
-{
+impl Encapsulate<PublicKey, SharedSecret> for Encapsulator<PublicKey> {
     type Error = ();
 
     fn encapsulate(
         &self,
         rng: &mut impl CryptoRngCore,
-    ) -> Result<(EncapsulatedKey<PublicKey>, SharedSecret<X25519Secret>), Self::Error> {
+    ) -> Result<(PublicKey, SharedSecret), Self::Error> {
         // ECDH encapsulation involves creating a new ephemeral key pair and then doing DH
         let sk = ReusableSecret::random_from_rng(rng);
         let pk = PublicKey::from(&sk);
         let ss = sk.diffie_hellman(&self.0);
 
-        Ok((EncapsulatedKey(pk), SharedSecret(ss)))
+        Ok((pk, ss))
     }
 }
 
-impl Decapsulate<EncapsulatedKey<PublicKey>, SharedSecret<X25519Secret>>
-    for Decapsulator<ReusableSecret>
-{
+impl Decapsulate<PublicKey, SharedSecret> for Decapsulator<ReusableSecret> {
     type Error = ();
 
-    fn decapsulate(
-        &self,
-        encapsulated_key: &EncapsulatedKey<PublicKey>,
-    ) -> Result<SharedSecret<X25519Secret>, Self::Error> {
-        let ss = self.0.diffie_hellman(&encapsulated_key.0);
+    fn decapsulate(&self, encapsulated_key: &PublicKey) -> Result<SharedSecret, Self::Error> {
+        let ss = self.0.diffie_hellman(&encapsulated_key);
 
-        Ok(SharedSecret(ss))
+        Ok(ss)
     }
 }
 
 impl DhKem for X25519 {
     type DecapsulatingKey = Decapsulator<ReusableSecret>;
     type EncapsulatingKey = Encapsulator<PublicKey>;
-    type EncapsulatedKey = EncapsulatedKey<PublicKey>;
-    type SharedSecret = SharedSecret<X25519Secret>;
+    type EncapsulatedKey = PublicKey;
+    type SharedSecret = SharedSecret;
 
     fn random_keypair(
         rng: &mut impl CryptoRngCore,
@@ -55,8 +48,8 @@ impl DhKem for X25519 {
 }
 
 #[cfg(test)]
-impl crate::SecretBytes for SharedSecret<X25519Secret> {
+impl crate::SecretBytes for SharedSecret {
     fn as_slice(&self) -> &[u8] {
-        self.0.as_bytes().as_slice()
+        self.as_bytes().as_slice()
     }
 }