diff --git a/circuits/test/gfmulint/nistgfmul.test.ts b/circuits/test/gfmulint/nistgfmul.test.ts
index 7baf55b..f0a7ea4 100644
--- a/circuits/test/gfmulint/nistgfmul.test.ts
+++ b/circuits/test/gfmulint/nistgfmul.test.ts
@@ -31,6 +31,18 @@ describe("NistGMulByte", () => {
     const expected = [0xe6, 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03];
     await circuit.expectPass({ X: X, Y: Y }, { out: expected });
   });
+  it("Should Compute NistGMulByte of LSB=1 Correctly", async () => {
+
+    // x = "aae06992acbf52a3e8f4a96ec9300bd7"
+    // y = "98e7247c07f0fe411c267e4384b0f600"
+    // expected = "90e87315fb7d4e1b4092ec0cbfda5d7d"
+    let X  = [0xaa, 0xe0, 0x69, 0x92, 0xac, 0xbf, 0x52, 0xa3, 0xe8, 0xf4, 0xa9, 0x6e, 0xc9, 0x30, 0x0b, 0xd7];
+    let Y = [0x98, 0xe7, 0x24, 0x7c, 0x07, 0xf0, 0xfe, 0x41, 0x1c, 0x26, 0x7e, 0x43, 0x84, 0xb0, 0xf6, 0x00];
+  
+    const expected = [0x90, 0xe8, 0x73, 0x15, 0xfb, 0x7d, 0x4e, 0x1b, 0x40, 0x92, 0xec, 0x0c, 0xbf, 0xda, 0x5d, 0x7d];
+    await circuit.expectPass({ X: X, Y: Y }, { out: expected });
+  });
+
 });
 
 describe("debug1", () => {
diff --git a/src/main.rs b/src/main.rs
index 882f2cd..7318140 100644
--- a/src/main.rs
+++ b/src/main.rs
@@ -107,7 +107,7 @@ mod tests {
         };
         use hex_literal::hex;
 
-        // first byte is 00000001
+        // first bit is 1
         const H: [u8; 16] =   hex!("80000000000000000000000000000000");
         const X: [u8; 16] = hex!("80000000000000000000000000000000");
 
@@ -116,15 +116,26 @@ mod tests {
         ghash.update(&[X.into()]);
         let result = ghash.finalize();
 
+        // last bit is 1
         const H_1: [u8; 16] = hex!("00000000000000000000000000000001");
         const X_1: [u8; 16] = hex!("00000000000000000000000000000001");
-        // Alternative.                  
+       
         let mut ghash2 = GHash::new(&H_1.into());
         ghash2.update(&[X_1.into()]);
         let result2 = ghash2.finalize();
 
-        println!("GHASH result_1: {:?}", hex::encode(result.as_slice()));
-        println!("GHASH result_2: {:?}", hex::encode(result2.as_slice()));
+        // test vector of pain
+        const H_2: [u8; 16] = hex!("aae06992acbf52a3e8f4a96ec9300bd7");
+        const X_2: [u8; 16] = hex!("98e7247c07f0fe411c267e4384b0f600");
+        
+        let mut ghash3 = GHash::new(&H_2.into());
+        ghash3.update(&[X_2.into()]);
+        let result3 = ghash3.finalize();
+
+        println!("GHASH Test vector 1: {:?}", hex::encode(result.as_slice()));
+        println!("GHASH Test vector 2: {:?}", hex::encode(result2.as_slice()));
+        println!("GHASH Test vector 3: {:?}", hex::encode(result3.as_slice()));
+
         // println!("expected: {:?}", hex::encode(expected));
 
     }