Sig verification cost for each committee size and depth of the overlay

scripts/authenticator_cost.py

@@ -0,0 +1,20 @@
+import time
+import ecdsa
+
+def verify_signatures(committee_size, depth):
+    # Simulate verifying depth * committee_size signatures
+    start_time = time.time()
+
+    # ECDSA key generation
+    private_key = ecdsa.SigningKey.generate()
+    public_key = private_key.get_verifying_key()
+
+    # Simulate depth * committee_size signature verifications
+    for _ in range(depth * committee_size):
+        message = b"Message to be signed"
+        signature = private_key.sign(message)
+        public_key.verify(signature, message)
+
+    end_time = time.time()
+    elapsed_time = end_time - start_time
+    return elapsed_time