diff --git a/test_applet/src/fr/anssi/smartpgp/TestApplet.java b/test_applet/src/fr/anssi/smartpgp/TestApplet.java
index 3d845fe..c569d5b 100644
--- a/test_applet/src/fr/anssi/smartpgp/TestApplet.java
+++ b/test_applet/src/fr/anssi/smartpgp/TestApplet.java
@@ -141,14 +141,14 @@ public final class TestApplet extends Applet {
     }
 
     private final void processTestEc(final byte p1, final byte p2) {
-        boolean generate;
+        boolean generate, provide_w;
         short size;
         ECPrivateKey priv;
         ECPublicKey pub;
         byte[] field, a, b, g, r, s, w;
         short k;
 
-        switch(p1) {
+        switch(p1 & (byte)0x01) {
         case (byte)0x00:
             generate = false;
             break;
@@ -162,6 +162,20 @@ public final class TestApplet extends Applet {
             return;
         }
 
+        switch(p1 & (byte)0x10) {
+        case (byte)0x00:
+            provide_w = true;
+            break;
+
+        case (byte)0x10:
+            provide_w = false;
+            break;
+
+        default:
+            ISOException.throwIt(ISO7816.SW_WRONG_P1P2);
+            return;
+        }
+
         switch(p2) {
         case (byte)0x00:
             size = 256;
@@ -237,7 +251,9 @@ public final class TestApplet extends Applet {
             kp.genKeyPair();
         } else {
             priv.setS(s, (short)0, (short)s.length);
-            pub.setW(w, (short)0, (short)w.length);
+            if(provide_w) {
+                pub.setW(w, (short)0, (short)w.length);
+            }
         }
 
         if(!pub.isInitialized()) {
diff --git a/test_applet/test.py b/test_applet/test.py
index 232ac72..bbb2bff 100755
--- a/test_applet/test.py
+++ b/test_applet/test.py
@@ -40,6 +40,9 @@ TEST_RSA_CRT_2048_GENERATE = [0x00, 0x02,
 TEST_EC_P256_STATIC = [0x00, 0x03,
                        0x00, 0x00];
 
+TEST_EC_P256_STATIC_NO_W = [0x00, 0x03,
+                            0x10, 0x00];
+
 TEST_EC_P256_GENERATE = [0x00, 0x03,
                          0x01, 0x00];
 
@@ -123,6 +126,8 @@ def test_ec(con):
     select_applet(con, False)
     send_apdu(con, "Test NIST P-256 static", TEST_EC_P256_STATIC)
     select_applet(con, False)
+    send_apdu(con, "Test NIST P-256 static (without W)", TEST_EC_P256_STATIC_NO_W)
+    select_applet(con, False)
     send_apdu(con, "Test NIST P-256 generate", TEST_EC_P256_GENERATE)
     select_applet(con, False)
     send_apdu(con, "Test NIST P-521 static", TEST_EC_P521_STATIC)