diff --git a/book/src/tutorial/refreshing-shares.md b/book/src/tutorial/refreshing-shares.md
index cf898b83..0ef7c8e7 100644
--- a/book/src/tutorial/refreshing-shares.md
+++ b/book/src/tutorial/refreshing-shares.md
@@ -6,7 +6,7 @@ channel](https://frost.zfnd.org/terminology.html#peer-to-peer-channel).
 
 <!-- ![Diagram of Refreshing shares, illustrating what is explained in the text](refreshing.png) -->
 
-The Trusted Dealer needs to first run `calculate_zero_key` where the new SecretShares are generated and then verified.
+The Trusted Dealer needs to first run `compute_refreshing_shares` where the new SecretShares are generated and then verified.
 This is done with
 [`KeyPackage::try_from()`](https://docs.rs/frost-core/latest/frost_core/frost/keys/struct.KeyPackage.html#method.try_from):
 `caluclate_zero_key` returns a new SecretShare and PublicKeyPackage
diff --git a/frost-core/src/keys/refresh.rs b/frost-core/src/keys/refresh.rs
index b1d8c0f7..b6619785 100644
--- a/frost-core/src/keys/refresh.rs
+++ b/frost-core/src/keys/refresh.rs
@@ -19,7 +19,7 @@ use super::{KeyPackage, SecretShare, VerifiableSecretSharingCommitment};
 /// Generates new zero key shares and a public key package using a trusted dealer
 /// Building a new public key package is done by taking the verifying shares from the new public key package and adding
 /// them to the original verifying shares
-pub fn calculate_zero_key<C: Ciphersuite, R: RngCore + CryptoRng>(
+pub fn compute_refreshing_shares<C: Ciphersuite, R: RngCore + CryptoRng>(
     old_pub_key_package: PublicKeyPackage<C>,
     max_signers: u16,
     min_signers: u16,
diff --git a/frost-core/src/tests/refresh.rs b/frost-core/src/tests/refresh.rs
index 8ff6a90e..29330b90 100644
--- a/frost-core/src/tests/refresh.rs
+++ b/frost-core/src/tests/refresh.rs
@@ -5,7 +5,7 @@ use std::collections::BTreeMap;
 use rand_core::{CryptoRng, RngCore};
 
 use crate::keys::generate_with_dealer;
-use crate::keys::refresh::{calculate_zero_key, refresh_share};
+use crate::keys::refresh::{compute_refreshing_shares, refresh_share};
 use crate::{self as frost};
 use crate::{
     keys::{KeyPackage, PublicKeyPackage, SecretShare},
@@ -56,7 +56,7 @@ pub fn check_refresh_shares_with_dealer<C: Ciphersuite, R: RngCore + CryptoRng>(
 
     // Trusted Dealer generates zero keys and new public key package
 
-    let (zero_shares, new_pub_key_package) = calculate_zero_key(
+    let (zero_shares, new_pub_key_package) = compute_refreshing_shares(
         pub_key_package,
         NEW_MAX_SIGNERS,
         MIN_SIGNERS,
@@ -97,7 +97,7 @@ pub fn check_refresh_shares_with_dealer_fails_with_invalid_signers<
 ) {
     let (_old_shares, pub_key_package) =
         generate_with_dealer::<C, R>(5, 2, frost::keys::IdentifierList::Default, &mut rng).unwrap();
-    let out = calculate_zero_key(
+    let out = compute_refreshing_shares(
         pub_key_package,
         new_max_signers,
         min_signers,
@@ -157,7 +157,7 @@ pub fn check_refresh_shares_with_dealer_fails_with_invalid_public_key_package<
 
     // Trusted Dealer generates zero keys and new public key package
 
-    let e = calculate_zero_key(
+    let e = compute_refreshing_shares(
         incorrect_pub_key_package,
         NEW_MAX_SIGNERS,
         MIN_SIGNERS,
@@ -203,7 +203,7 @@ pub fn check_refresh_shares_with_dealer_serialisation<C: Ciphersuite, R: RngCore
 
     const NEW_MAX_SIGNERS: u16 = 4;
 
-    let (zero_shares, new_pub_key_package) = calculate_zero_key(
+    let (zero_shares, new_pub_key_package) = compute_refreshing_shares(
         pub_key_package,
         NEW_MAX_SIGNERS,
         MIN_SIGNERS,
diff --git a/frost-ed25519/src/keys/refresh.rs b/frost-ed25519/src/keys/refresh.rs
index 303c2580..b336a9c8 100644
--- a/frost-ed25519/src/keys/refresh.rs
+++ b/frost-ed25519/src/keys/refresh.rs
@@ -9,14 +9,14 @@ use crate::{frost, Ciphersuite, CryptoRng, Error, Identifier, RngCore};
 use super::{KeyPackage, PublicKeyPackage, SecretShare};
 
 /// Refreshes shares using a trusted dealer
-pub fn calculate_zero_key<C: Ciphersuite, R: RngCore + CryptoRng>(
+pub fn compute_refreshing_shares<C: Ciphersuite, R: RngCore + CryptoRng>(
     old_pub_key_package: PublicKeyPackage,
     max_signers: u16,
     min_signers: u16,
     identifiers: &[Identifier],
     mut rng: &mut R,
 ) -> Result<(Vec<SecretShare>, PublicKeyPackage), Error> {
-    frost::keys::refresh::calculate_zero_key(
+    frost::keys::refresh::compute_refreshing_shares(
         old_pub_key_package,
         max_signers,
         min_signers,
diff --git a/frost-ed448/src/keys/refresh.rs b/frost-ed448/src/keys/refresh.rs
index 303c2580..b336a9c8 100644
--- a/frost-ed448/src/keys/refresh.rs
+++ b/frost-ed448/src/keys/refresh.rs
@@ -9,14 +9,14 @@ use crate::{frost, Ciphersuite, CryptoRng, Error, Identifier, RngCore};
 use super::{KeyPackage, PublicKeyPackage, SecretShare};
 
 /// Refreshes shares using a trusted dealer
-pub fn calculate_zero_key<C: Ciphersuite, R: RngCore + CryptoRng>(
+pub fn compute_refreshing_shares<C: Ciphersuite, R: RngCore + CryptoRng>(
     old_pub_key_package: PublicKeyPackage,
     max_signers: u16,
     min_signers: u16,
     identifiers: &[Identifier],
     mut rng: &mut R,
 ) -> Result<(Vec<SecretShare>, PublicKeyPackage), Error> {
-    frost::keys::refresh::calculate_zero_key(
+    frost::keys::refresh::compute_refreshing_shares(
         old_pub_key_package,
         max_signers,
         min_signers,
diff --git a/frost-p256/src/keys/refresh.rs b/frost-p256/src/keys/refresh.rs
index 303c2580..b336a9c8 100644
--- a/frost-p256/src/keys/refresh.rs
+++ b/frost-p256/src/keys/refresh.rs
@@ -9,14 +9,14 @@ use crate::{frost, Ciphersuite, CryptoRng, Error, Identifier, RngCore};
 use super::{KeyPackage, PublicKeyPackage, SecretShare};
 
 /// Refreshes shares using a trusted dealer
-pub fn calculate_zero_key<C: Ciphersuite, R: RngCore + CryptoRng>(
+pub fn compute_refreshing_shares<C: Ciphersuite, R: RngCore + CryptoRng>(
     old_pub_key_package: PublicKeyPackage,
     max_signers: u16,
     min_signers: u16,
     identifiers: &[Identifier],
     mut rng: &mut R,
 ) -> Result<(Vec<SecretShare>, PublicKeyPackage), Error> {
-    frost::keys::refresh::calculate_zero_key(
+    frost::keys::refresh::compute_refreshing_shares(
         old_pub_key_package,
         max_signers,
         min_signers,
diff --git a/frost-ristretto255/src/keys/refresh.rs b/frost-ristretto255/src/keys/refresh.rs
index 303c2580..b336a9c8 100644
--- a/frost-ristretto255/src/keys/refresh.rs
+++ b/frost-ristretto255/src/keys/refresh.rs
@@ -9,14 +9,14 @@ use crate::{frost, Ciphersuite, CryptoRng, Error, Identifier, RngCore};
 use super::{KeyPackage, PublicKeyPackage, SecretShare};
 
 /// Refreshes shares using a trusted dealer
-pub fn calculate_zero_key<C: Ciphersuite, R: RngCore + CryptoRng>(
+pub fn compute_refreshing_shares<C: Ciphersuite, R: RngCore + CryptoRng>(
     old_pub_key_package: PublicKeyPackage,
     max_signers: u16,
     min_signers: u16,
     identifiers: &[Identifier],
     mut rng: &mut R,
 ) -> Result<(Vec<SecretShare>, PublicKeyPackage), Error> {
-    frost::keys::refresh::calculate_zero_key(
+    frost::keys::refresh::compute_refreshing_shares(
         old_pub_key_package,
         max_signers,
         min_signers,
diff --git a/frost-secp256k1/src/keys/refresh.rs b/frost-secp256k1/src/keys/refresh.rs
index 303c2580..b336a9c8 100644
--- a/frost-secp256k1/src/keys/refresh.rs
+++ b/frost-secp256k1/src/keys/refresh.rs
@@ -9,14 +9,14 @@ use crate::{frost, Ciphersuite, CryptoRng, Error, Identifier, RngCore};
 use super::{KeyPackage, PublicKeyPackage, SecretShare};
 
 /// Refreshes shares using a trusted dealer
-pub fn calculate_zero_key<C: Ciphersuite, R: RngCore + CryptoRng>(
+pub fn compute_refreshing_shares<C: Ciphersuite, R: RngCore + CryptoRng>(
     old_pub_key_package: PublicKeyPackage,
     max_signers: u16,
     min_signers: u16,
     identifiers: &[Identifier],
     mut rng: &mut R,
 ) -> Result<(Vec<SecretShare>, PublicKeyPackage), Error> {
-    frost::keys::refresh::calculate_zero_key(
+    frost::keys::refresh::compute_refreshing_shares(
         old_pub_key_package,
         max_signers,
         min_signers,