diff --git a/tfhe/src/core_crypto/entities/lwe_public_key.rs b/tfhe/src/core_crypto/entities/lwe_public_key.rs
index e57a0d2d9..58737e610 100644
--- a/tfhe/src/core_crypto/entities/lwe_public_key.rs
+++ b/tfhe/src/core_crypto/entities/lwe_public_key.rs
@@ -4,6 +4,20 @@ use crate::core_crypto::entities::*;
 
 // An LwePublicKey is literally an LweCiphertextList, so we wrap an LweCiphertextList and use
 // Deref to have access to all the primitives of the LweCiphertextList easily
+
+/// A [`public LWE bootstrap key`](`LwePublicKey`).
+///
+/// This is a wrapper type of [`LweCiphertextList`], [`std::ops::Deref`] and [`std::ops::DerefMut`]
+/// are implemented to dereference to the underlying [`LweCiphertextList`] for ease of use. See
+/// [`LweCiphertextList`] for additional methods.
+///
+/// # Formal Definition
+///
+/// ## LWE Public Key
+///
+/// An LWE public key contains $m$ LWE encryptions of 0 under a secret key
+/// $\vec{s}\in\mathbb{Z}\_q^n$ where $n$ is the LWE dimension of the ciphertexts contained in the
+/// public key.
 #[derive(Clone, Debug, PartialEq, Eq, serde::Serialize, serde::Deserialize)]
 pub struct LwePublicKey<C: Container> {
     lwe_list: LweCiphertextList<C>,
@@ -24,6 +38,46 @@ impl<C: ContainerMut> std::ops::DerefMut for LwePublicKey<C> {
 }
 
 impl<Scalar, C: Container<Element = Scalar>> LwePublicKey<C> {
+    /// Create an [`LwePublicKey`] from an existing container.
+    ///
+    /// # Note
+    ///
+    /// This function only wraps a container in the appropriate type. If you want to generate an
+    /// [`LwePublicKey`] you need to call
+    /// [`crate::core_crypto::algorithms::generate_lwe_public_key`] using this key as output.
+    ///
+    /// This docstring exhibits [`LwePublicKey`] primitives usage.
+    ///
+    /// ```
+    /// use tfhe::core_crypto::prelude::*;
+    ///
+    /// // Define parameters for LwePublicKey creation
+    /// let lwe_size = LweSize(600);
+    /// let zero_encryption_count = LwePublicKeyZeroEncryptionCount(3);
+    ///
+    /// // Create a new LwePublicKey
+    /// let lwe_public_key = LwePublicKey::new(0u64, lwe_size, zero_encryption_count);
+    ///
+    /// // This is a method from LweCiphertextList
+    /// assert_eq!(lwe_public_key.lwe_size(), lwe_size);
+    /// // This is a method from LwePublicKey
+    /// assert_eq!(
+    ///     lwe_public_key.zero_encryption_count(),
+    ///     zero_encryption_count
+    /// );
+    ///
+    /// // Demonstrate how to recover the allocated container
+    /// let underlying_container: Vec<u64> = lwe_public_key.into_container();
+    ///
+    /// // Recreate a list using from_container
+    /// let lwe_public_key = LwePublicKey::from_container(underlying_container, lwe_size);
+    ///
+    /// assert_eq!(lwe_public_key.lwe_size(), lwe_size);
+    /// assert_eq!(
+    ///     lwe_public_key.zero_encryption_count(),
+    ///     zero_encryption_count
+    /// );
+    /// ```
     pub fn from_container(container: C, lwe_size: LweSize) -> LwePublicKey<C> {
         assert!(
             container.container_len() > 0,
@@ -34,30 +88,48 @@ impl<Scalar, C: Container<Element = Scalar>> LwePublicKey<C> {
         }
     }
 
+    /// Return the [`LwePublicKeyZeroEncryptionCount`] of the [`LwePublicKey`].
+    ///
+    /// See [`LwePublicKey::from_container`] for usage.
     pub fn zero_encryption_count(&self) -> LwePublicKeyZeroEncryptionCount {
         LwePublicKeyZeroEncryptionCount(self.lwe_ciphertext_count().0)
     }
 
     /// Consume the entity and return its underlying container.
+    ///
+    /// See [`LwePublicKey::from_container`] for usage.
     pub fn into_container(self) -> C {
         self.lwe_list.into_container()
     }
 
+    /// Return a view of the [`LwePublicKey`]. This is useful if an algorithm takes a view by
+    /// value.
     pub fn as_view(&self) -> LwePublicKey<&'_ [Scalar]> {
         LwePublicKey::from_container(self.as_ref(), self.lwe_size())
     }
 }
 
 impl<Scalar, C: ContainerMut<Element = Scalar>> LwePublicKey<C> {
+    /// Mutable variant of [`LwePublicKey::as_view`].
     pub fn as_mut_view(&mut self) -> LwePublicKey<&'_ mut [Scalar]> {
         let lwe_size = self.lwe_size();
         LwePublicKey::from_container(self.as_mut(), lwe_size)
     }
 }
 
+/// A [`LwePublicKey`] owning the memory for its own storage.
 pub type LwePublicKeyOwned<Scalar> = LwePublicKey<Vec<Scalar>>;
 
 impl<Scalar: Copy> LwePublicKeyOwned<Scalar> {
+    /// Allocate memory and create a new owned [`LwePublicKey`].
+    ///
+    /// # Note
+    ///
+    /// This function allocates a vector of the appropriate size and wraps it in the appropriate
+    /// type. If you want to generate an [`LwePublicKey`] you need to call
+    /// [`crate::core_crypto::algorithms::generate_lwe_public_key`] using this key as output.
+    ///
+    /// See [`LwePublicKey::from_container`] for usage.
     pub fn new(
         fill_with: Scalar,
         lwe_size: LweSize,