diff --git a/shadowsocks/obfsplugin/auth_chain.py b/shadowsocks/obfsplugin/auth_chain.py
index 67a2a7e..8e7d5c7 100644
--- a/shadowsocks/obfsplugin/auth_chain.py
+++ b/shadowsocks/obfsplugin/auth_chain.py
@@ -671,7 +671,7 @@ class auth_chain_b(auth_chain_a):
             return 0
         random.init_from_bin_len(last_hash, buf_size)
         pos = bisect.bisect_left(self.data_size_list, buf_size + self.server_info.overhead)
-        final_pos = pos + random.next() % (len(self.data_size_list) * 2)
+        final_pos = pos + random.next() % (len(self.data_size_list) + int(len(self.data_size_list) / 2))
         if final_pos < len(self.data_size_list):
             return self.data_size_list[final_pos] - buf_size - self.server_info.overhead