diff --git a/Tests/AES-GCM/AESGCMDecKernelProgram.lean b/Tests/AES-GCM/AESGCMDecKernelProgram.lean
index 8d9131d5..06bd110d 100644
--- a/Tests/AES-GCM/AESGCMDecKernelProgram.lean
+++ b/Tests/AES-GCM/AESGCMDecKernelProgram.lean
@@ -21,7 +21,7 @@ open BitVec
          Xi -- current hash/tag value, should match with input to aes_gcm_enc_kernel (x3)
          ivec -- counter, should match with input to aes_gcm_enc_kernel (x4)
          key -- AES key schedule and rounds (x5)
-         Htable -- powers of H precomputed up to H^12 (x6)
+         Htable -- powers of H precomputed up to H^8 (x6)
   output: out -- plaintext (x2)
           Xi -- current hash/tag value, decryption function will recalculate
                 the hash based on the ciphertext, the top-level c function
diff --git a/Tests/AES-GCM/AESGCMEncKernelProgram.lean b/Tests/AES-GCM/AESGCMEncKernelProgram.lean
index 193af54e..8a9c201b 100644
--- a/Tests/AES-GCM/AESGCMEncKernelProgram.lean
+++ b/Tests/AES-GCM/AESGCMEncKernelProgram.lean
@@ -21,7 +21,7 @@ open BitVec
          Xi -- current hash/tag value (x3)
          ivec -- counter (x4)
          key -- AES key schedule and rounds (x5)
-         Htable -- powers of H precomputed up to H^12 (x6)
+         Htable -- powers of H precomputed up to H^8 (x6)
   output: out -- ciphertext (x2)
           Xi -- current hash/tag value (x3)
 
diff --git a/Tests/AES-GCM/GCMInitV8Program.lean b/Tests/AES-GCM/GCMInitV8Program.lean
index 70c51518..10c43638 100644
--- a/Tests/AES-GCM/GCMInitV8Program.lean
+++ b/Tests/AES-GCM/GCMInitV8Program.lean
@@ -14,7 +14,7 @@ open BitVec
  void gcm_init_v8(u128 Htable[16], const uint64_t H[2]);
 
  input:  H - initial hash (x1)
- output: Htable - powers of H precomputed up to H^12 (x0)
+ output: Htable - powers of H precomputed up to H^8 (x0)
 -/
 
 def gcm_init_v8_program : Program :=