diff --git a/math/src/automorphism.rs b/math/src/automorphism.rs
index d517ff7..6f985ff 100644
--- a/math/src/automorphism.rs
+++ b/math/src/automorphism.rs
@@ -1,11 +1,11 @@
 use crate::modulus::WordOps;
 
-pub struct AutomorphismPermutation {
+pub struct AutoPerm {
     pub gal_el: usize,
     pub permutation: Vec<usize>,
 }
 
-impl AutomorphismPermutation {
+impl AutoPerm {
     /// Returns a lookup table for the automorphism X^{i} -> X^{i * k mod nth_root}.
     /// Method will panic if n or nth_root are not power-of-two.
     /// Method will panic if gal_el is not coprime with nth_root.
diff --git a/math/src/ring/impl_u64/automorphism.rs b/math/src/ring/impl_u64/automorphism.rs
index c21ade3..25579dd 100644
--- a/math/src/ring/impl_u64/automorphism.rs
+++ b/math/src/ring/impl_u64/automorphism.rs
@@ -1,4 +1,4 @@
-use crate::automorphism::AutomorphismPermutation;
+use crate::automorphism::AutoPerm;
 use crate::modulus::{ScalarOperations, ONCE};
 use crate::modulus::{WordOps, REDUCEMOD};
 use crate::poly::Poly;
@@ -118,7 +118,7 @@ impl Ring<u64> {
     pub fn a_apply_automorphism_from_perm_into_b<const NTT: bool>(
         &self,
         a: &Poly<u64>,
-        auto_perm: &AutomorphismPermutation,
+        auto_perm: &AutoPerm,
         b: &mut Poly<u64>,
     ) {
         self.automorphism_from_perm_core::<0, ONCE, NTT>(a, auto_perm, b)
@@ -128,7 +128,7 @@ impl Ring<u64> {
     pub fn a_apply_automorphism_from_perm_add_b_into_b<const REDUCE: REDUCEMOD, const NTT: bool>(
         &self,
         a: &Poly<u64>,
-        auto_perm: &AutomorphismPermutation,
+        auto_perm: &AutoPerm,
         b: &mut Poly<u64>,
     ) {
         self.automorphism_from_perm_core::<1, REDUCE, NTT>(a, auto_perm, b)
@@ -138,7 +138,7 @@ impl Ring<u64> {
     pub fn a_apply_automorphism_from_perm_sub_b_into_b<const REDUCE: REDUCEMOD, const NTT: bool>(
         &self,
         a: &Poly<u64>,
-        auto_perm: &AutomorphismPermutation,
+        auto_perm: &AutoPerm,
         b: &mut Poly<u64>,
     ) {
         self.automorphism_from_perm_core::<2, REDUCE, NTT>(a, auto_perm, b)
@@ -148,7 +148,7 @@ impl Ring<u64> {
     fn automorphism_from_perm_core<const MOD: u8, const REDUCE: REDUCEMOD, const NTT: bool>(
         &self,
         a: &Poly<u64>,
-        auto_perm: &AutomorphismPermutation,
+        auto_perm: &AutoPerm,
         b: &mut Poly<u64>,
     ) {
         debug_assert!(
diff --git a/math/tests/automorphism.rs b/math/tests/automorphism.rs
index 1abd595..0adb306 100644
--- a/math/tests/automorphism.rs
+++ b/math/tests/automorphism.rs
@@ -1,5 +1,5 @@
 use itertools::izip;
-use math::automorphism::AutomorphismPermutation;
+use math::automorphism::AutoPerm;
 use math::poly::Poly;
 use math::ring::Ring;
 
@@ -79,7 +79,7 @@ fn test_automorphism_from_perm_u64<const NTT: bool>(ring: &Ring<u64>, nth_root:
 
     let gal_el: usize = 2 * nth_root - 1;
 
-    let auto_perm = AutomorphismPermutation::new::<NTT>(n, gal_el, nth_root);
+    let auto_perm = AutoPerm::new::<NTT>(n, gal_el, nth_root);
 
     ring.a_apply_automorphism_from_perm_into_b::<NTT>(&p0, &auto_perm, &mut p1);