diff --git a/evm/src/cpu/kernel/asm/curve/bn254/curve_arithmetic/constants.asm b/evm/src/cpu/kernel/asm/curve/bn254/curve_arithmetic/constants.asm
index 014f4a9a..93878b57 100644
--- a/evm/src/cpu/kernel/asm/curve/bn254/curve_arithmetic/constants.asm
+++ b/evm/src/cpu/kernel/asm/curve/bn254/curve_arithmetic/constants.asm
@@ -1,3 +1,12 @@
+/// the following is defined by
+/// (1) taking the binary expansion of N254, the order of the elliptic curve group
+/// (2) popping the first and last elements, then appending a 0:
+///     exp = bin(N254)[1:-1] + [0]
+/// (3) counting the lengths of runs of 1s then 0s in exp, e.g.
+///     if exp = 1100010011110, then EXP = [(2,3), (1,2), (4,1)]
+/// (4) encoding each pair (n,m) as 0xnm:
+///     miller_data = [(0x20)n + m for (n,m) in EXP]
+
 global miller_data:
     BYTES 0xdc, 0x22, 0x42, 0x21
     BYTES 0xa1, 0xa4, 0x24, 0x21
diff --git a/evm/src/cpu/kernel/asm/curve/bn254/curve_arithmetic/miller_loop.asm b/evm/src/cpu/kernel/asm/curve/bn254/curve_arithmetic/miller_loop.asm
index 844b38a5..5d2104e6 100644
--- a/evm/src/cpu/kernel/asm/curve/bn254/curve_arithmetic/miller_loop.asm
+++ b/evm/src/cpu/kernel/asm/curve/bn254/curve_arithmetic/miller_loop.asm
@@ -25,15 +25,6 @@
 ///     0xnm -= 1
 ///     mul_tangent()
 
-/// Note: miller_data was defined by
-/// (1) taking the binary expansion of N254, the size of the elliptic curve
-/// (2) popping the first and last elements, then appending a 0:
-///     exp = bin(N254)[1:-1] + [0]
-/// (3) counting the lengths of runs of 1s then 0s in exp, e.g.
-///     exp = 1100010011110 => EXP = [(2,3), (1,2), (4,1)]
-/// (4) encoding each pair (n,m) as 0xnm:
-///     miller_data = [(0x20)n + m for (n,m) in EXP]
-
 global test_miller:
     // stack: ptr, P, Q, ptr, out, retdest
     %store_fp6