diff --git a/src/constants.rs b/src/constants.rs
index bacea1a3..e2975ecc 100644
--- a/src/constants.rs
+++ b/src/constants.rs
@@ -39,10 +39,10 @@ pub const fn prng_len(seed_len: usize) -> usize {
     23 + seed_len
 }
 
-pub const LMS_LEAF_IDENTIFIERS_SIZE: usize = 8;
+pub const HSS_COMPRESSED_USED_LEAFS_SIZE: usize = 8;
 pub const REF_IMPL_MAX_ALLOWED_HSS_LEVELS: usize = 8;
 pub const REF_IMPL_MAX_PRIVATE_KEY_SIZE: usize =
-    LMS_LEAF_IDENTIFIERS_SIZE + REF_IMPL_MAX_ALLOWED_HSS_LEVELS + MAX_SEED_LEN;
+    HSS_COMPRESSED_USED_LEAFS_SIZE + REF_IMPL_MAX_ALLOWED_HSS_LEVELS + MAX_SEED_LEN;
 
 pub const MAX_HASH_SIZE: usize = 32;
 pub const MAX_HASH_BLOCK_SIZE: usize = 64;
diff --git a/src/hss/mod.rs b/src/hss/mod.rs
index f542b9ef..cd7db949 100644
--- a/src/hss/mod.rs
+++ b/src/hss/mod.rs
@@ -293,7 +293,7 @@ pub fn hss_keygen<H: HashChain>(
 mod tests {
     use crate::util::helper::test_helper::gen_random_seed;
     use crate::{
-        constants::{LMS_LEAF_IDENTIFIERS_SIZE, MAX_HASH_SIZE},
+        constants::{HSS_COMPRESSED_USED_LEAFS_SIZE, MAX_HASH_SIZE},
         hasher::{
             sha256::{Sha256_128, Sha256_192, Sha256_256},
             shake256::{Shake256_128, Shake256_192, Shake256_256},
@@ -338,8 +338,8 @@ mod tests {
 
         assert_ne!(signing_key.as_slice(), signing_key_const.as_slice());
         assert_eq!(
-            signing_key.as_slice()[LMS_LEAF_IDENTIFIERS_SIZE..],
-            signing_key_const.as_slice()[LMS_LEAF_IDENTIFIERS_SIZE..]
+            signing_key.as_slice()[HSS_COMPRESSED_USED_LEAFS_SIZE..],
+            signing_key_const.as_slice()[HSS_COMPRESSED_USED_LEAFS_SIZE..]
         );
     }
 
@@ -366,7 +366,7 @@ mod tests {
 
         for index in 0..keypair_lifetime {
             assert_eq!(
-                signing_key.as_slice()[..LMS_LEAF_IDENTIFIERS_SIZE],
+                signing_key.as_slice()[..HSS_COMPRESSED_USED_LEAFS_SIZE],
                 index.to_be_bytes(),
             );
             assert_eq!(
diff --git a/src/hss/reference_impl_private_key.rs b/src/hss/reference_impl_private_key.rs
index 6956b8bb..8c1bbbac 100644
--- a/src/hss/reference_impl_private_key.rs
+++ b/src/hss/reference_impl_private_key.rs
@@ -1,6 +1,6 @@
 use crate::{
     constants::{
-        LmsTreeIdentifier, D_TOPSEED, ILEN, LMS_LEAF_IDENTIFIERS_SIZE, MAX_ALLOWED_HSS_LEVELS,
+        LmsTreeIdentifier, D_TOPSEED, ILEN, HSS_COMPRESSED_USED_LEAFS_SIZE, MAX_ALLOWED_HSS_LEVELS,
         MAX_HASH_SIZE, MAX_SEED_LEN, REF_IMPL_MAX_PRIVATE_KEY_SIZE, SEED_CHILD_SEED,
         SEED_SIGNATURE_RANDOMIZER_SEED, TOPSEED_D, TOPSEED_LEN, TOPSEED_SEED, TOPSEED_WHICH,
     },
@@ -125,7 +125,7 @@ impl<H: HashChain> ReferenceImplPrivateKey<H> {
         let mut index = 0;
 
         let compressed_used_leafs_indexes =
-            read_and_advance(data, LMS_LEAF_IDENTIFIERS_SIZE, &mut index);
+            read_and_advance(data, HSS_COMPRESSED_USED_LEAFS_SIZE, &mut index);
         result.compressed_used_leafs_indexes =
             CompressedUsedLeafsIndexes::from_slice(compressed_used_leafs_indexes);