diff --git a/evm/src/bn254_pairing.rs b/evm/src/bn254_pairing.rs
index 44e22189..5f3fc7fa 100644
--- a/evm/src/bn254_pairing.rs
+++ b/evm/src/bn254_pairing.rs
@@ -1,6 +1,8 @@
 use std::ops::{Add, Mul, Neg};
 
 use ethereum_types::U256;
+use rand::distributions::Standard;
+use rand::prelude::Distribution;
 use rand::Rng;
 
 use crate::extension_tower::{FieldExt, Fp12, Fp2, Fp6, BN254};
@@ -23,6 +25,26 @@ impl<T: FieldExt> Curve<T> {
     }
 }
 
+impl<T> Curve<T>
+where
+    T: FieldExt,
+    Curve<T>: CyclicGroup,
+{
+    pub fn int(z: i32) -> Self {
+        Curve::<T>::GENERATOR * z
+    }
+}
+
+impl<T> Distribution<Curve<T>> for Standard
+where
+    T: FieldExt,
+    Curve<T>: CyclicGroup,
+{
+    fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Curve<T> {
+        Curve::<T>::GENERATOR * rng.gen::<i32>()
+    }
+}
+
 /// Standard addition formula for elliptic curves, restricted to the cases  
 /// https://en.wikipedia.org/wiki/Elliptic_curve#Algebraic_interpretation
 impl<T: FieldExt> Add for Curve<T> {
@@ -62,14 +84,14 @@ impl<T: FieldExt> Neg for Curve<T> {
     }
 }
 
-pub trait CurveGroup {
+pub trait CyclicGroup {
     const GENERATOR: Self;
 }
 
 /// The BN curve consists of pairs
 ///     (x, y): (BN254, BN254) | y^2 = x^3 + 2
 // with generator given by (1, 2)
-impl CurveGroup for Curve<BN254> {
+impl CyclicGroup for Curve<BN254> {
     const GENERATOR: Curve<BN254> = Curve {
         x: BN254 { val: U256::one() },
         y: BN254 {
@@ -81,7 +103,7 @@ impl CurveGroup for Curve<BN254> {
 impl<T> Mul<i32> for Curve<T>
 where
     T: FieldExt,
-    Curve<T>: CurveGroup,
+    Curve<T>: CyclicGroup,
 {
     type Output = Curve<T>;
 
@@ -107,7 +129,6 @@ where
             exp >>= 1;
             x = x + x;
         }
-        println!("result: {:?}", result);
         result
     }
 }
@@ -115,7 +136,7 @@ where
 /// The twisted curve consists of pairs
 ///     (x, y): (Fp2<BN254>, Fp2<BN254>) | y^2 = x^3 + 3/(9 + i)
 /// with generator given as follows
-impl CurveGroup for Curve<Fp2<BN254>> {
+impl CyclicGroup for Curve<Fp2<BN254>> {
     const GENERATOR: Curve<Fp2<BN254>> = Curve {
         x: Fp2 {
             re: BN254 {
diff --git a/evm/src/cpu/kernel/tests/bn254.rs b/evm/src/cpu/kernel/tests/bn254.rs
index 25ec6429..63796a4e 100644
--- a/evm/src/cpu/kernel/tests/bn254.rs
+++ b/evm/src/cpu/kernel/tests/bn254.rs
@@ -4,7 +4,7 @@ use anyhow::Result;
 use ethereum_types::U256;
 use rand::Rng;
 
-use crate::bn254_pairing::{final_exponent, gen_fp12_sparse, miller_loop, Curve, CurveGroup};
+use crate::bn254_pairing::{final_exponent, gen_fp12_sparse, miller_loop, Curve, CyclicGroup};
 use crate::cpu::kernel::interpreter::{
     run_interpreter_with_memory, Interpreter, InterpreterMemoryInitialization,
 };
@@ -213,7 +213,15 @@ fn pairing_input() -> Vec<U256> {
 fn test_bn_miller() -> Result<()> {
     let ptr: usize = 100;
     let out: usize = 106;
-    let input = pairing_input();
+
+    let mut rng = rand::thread_rng();
+    let p: Curve<BN254> = rng.gen::<Curve<BN254>>();
+    let q: Curve<Fp2<BN254>> = rng.gen::<Curve<Fp2<BN254>>>();
+
+    let p_stack: [U256; 2] = unsafe { transmute(p) };
+    let q_stack: [U256; 4] = unsafe { transmute(q) };
+    let mut input = p_stack.to_vec();
+    input.extend(q_stack);
 
     let setup = InterpreterMemoryInitialization {
         label: "bn254_miller".to_string(),
@@ -223,8 +231,7 @@ fn test_bn_miller() -> Result<()> {
     };
     let interpreter = run_interpreter_with_memory(setup).unwrap();
     let output: Vec<U256> = interpreter.extract_kernel_memory(BnPairing, out..out + 12);
-    let expected =
-        miller_loop(Curve::<BN254>::GENERATOR, Curve::<Fp2<BN254>>::GENERATOR).on_stack();
+    let expected = miller_loop(p, q).on_stack();
 
     assert_eq!(output, expected);