diff --git a/instances.c b/instances.c
index cba37ed7..96a199f8 100644
--- a/instances.c
+++ b/instances.c
@@ -51,9 +51,9 @@ const char* faest_get_param_name(faest_paramid_t paramid) {
 #define PARAMS(name)                                                                               \
   {                                                                                                \
     name##_LAMBDA, name##_TAU, name##_W_GRIND, name##_T_OPEN, name##_ELL, CALC_K(name),            \
-        CALC_TAU0(name), CALC_TAU1(name), CALC_L(name), name##_Nwd, name##_Ske, name##_R,          \
-        name##_Senc, name##_Lke, name##_Lenc, name##_C, name##_SIG_SIZE, name##_OWF_INPUT_SIZE,    \
-        name##_OWF_OUTPUT_SIZE                                                                     \
+        CALC_TAU0(name), CALC_TAU1(name), CALC_L(name), name##_Nwd, name##_Nst, name##_Ske,        \
+        name##_R, name##_Senc, name##_Lke, name##_Lenc, name##_C, name##_SIG_SIZE,                 \
+        name##_OWF_INPUT_SIZE, name##_OWF_OUTPUT_SIZE                                              \
   }
 
 #define FAEST_128S_PARAMS PARAMS(FAEST_128S)
diff --git a/instances.h b/instances.h
index e46bbccf..694ce9fa 100644
--- a/instances.h
+++ b/instances.h
@@ -54,6 +54,7 @@ typedef struct faest_param_t {
 
   // OWF parameters
   uint16_t Nwd;
+  uint16_t Nst;
   uint16_t Ske;
   uint16_t R;
   uint16_t Senc;
diff --git a/meson.build b/meson.build
index f6d5a906..a1042e5d 100644
--- a/meson.build
+++ b/meson.build
@@ -120,6 +120,7 @@ param_128s.set('PARAM', '128S')
 param_128s.set('PARAM_L', '128s')
 param_128s.set('LAMBDA', 128)
 param_128s.set('Nwd', 4)
+param_128s.set('Nst', 4)
 param_128s.set('Ske', 40)
 param_128s.set('R', 10)
 param_128s.set('Senc', 160)
@@ -144,6 +145,7 @@ param_128f.set('PARAM', '128F')
 param_128f.set('PARAM_L', '128f')
 param_128f.set('LAMBDA', 128)
 param_128f.set('Nwd', 4)
+param_128f.set('Nst', 4)
 param_128f.set('Ske', 40)
 param_128f.set('R', 10)
 param_128f.set('Senc', 160)
@@ -168,6 +170,7 @@ param_em_128s.set('PARAM', 'EM_128S')
 param_em_128s.set('PARAM_L', 'em_128s')
 param_em_128s.set('LAMBDA', 128)
 param_em_128s.set('Nwd', 4)
+param_em_128s.set('Nst', 4)
 param_em_128s.set('Ske', 0)
 param_em_128s.set('R', 10)
 param_em_128s.set('Senc', 160)
@@ -192,6 +195,7 @@ param_em_128f.set('PARAM', 'EM_128F')
 param_em_128f.set('PARAM_L', 'em_128f')
 param_em_128f.set('LAMBDA', 128)
 param_em_128f.set('Nwd', 4)
+param_em_128f.set('Nst', 4)
 param_em_128f.set('Ske', 0)
 param_em_128f.set('R', 10)
 param_em_128f.set('Senc', 160)
@@ -216,6 +220,7 @@ param_192s.set('PARAM', '192S')
 param_192s.set('PARAM_L', '192s')
 param_192s.set('LAMBDA', 192)
 param_192s.set('Nwd', 6)
+param_192s.set('Nst', 4)
 param_192s.set('Ske', 32)
 param_192s.set('R', 12)
 param_192s.set('Senc', 192)
@@ -240,6 +245,7 @@ param_192f.set('PARAM', '192F')
 param_192f.set('PARAM_L', '192f')
 param_192f.set('LAMBDA', 192)
 param_192f.set('Nwd', 6)
+param_192f.set('Nst', 4)
 param_192f.set('Ske', 32)
 param_192f.set('R', 12)
 param_192f.set('Senc', 192)
@@ -264,6 +270,7 @@ param_em_192s.set('PARAM', 'EM_192S')
 param_em_192s.set('PARAM_L', 'em_192s')
 param_em_192s.set('LAMBDA', 192)
 param_em_192s.set('Nwd', 6)
+param_em_192s.set('Nst', 6)
 param_em_192s.set('Ske', 0)
 param_em_192s.set('R', 12)
 param_em_192s.set('Senc', 288)
@@ -288,6 +295,7 @@ param_em_192f.set('PARAM', 'EM_192F')
 param_em_192f.set('PARAM_L', 'em_192f')
 param_em_192f.set('LAMBDA', 192)
 param_em_192f.set('Nwd', 6)
+param_em_128f.set('Nst', 6)
 param_em_192f.set('Ske', 0)
 param_em_192f.set('R', 12)
 param_em_192f.set('Senc', 288)
@@ -312,6 +320,7 @@ param_256s.set('PARAM', '256S')
 param_256s.set('PARAM_L', '256s')
 param_256s.set('LAMBDA', 256)
 param_256s.set('Nwd', 8)
+param_256s.set('Nst', 4)
 param_256s.set('Ske', 52)
 param_256s.set('R', 14)
 param_256s.set('Senc', 224)
@@ -336,6 +345,7 @@ param_256f.set('PARAM', '256F')
 param_256f.set('PARAM_L', '256f')
 param_256f.set('LAMBDA', 256)
 param_256f.set('Nwd', 8)
+param_256f.set('Nwd', 4)
 param_256f.set('Ske', 52)
 param_256f.set('R', 14)
 param_256f.set('Senc', 224)
@@ -360,6 +370,7 @@ param_em_256s.set('PARAM', 'EM_256S')
 param_em_256s.set('PARAM_L', 'em_256s')
 param_em_256s.set('LAMBDA', 256)
 param_em_256s.set('Nwd', 8)
+param_em_256s.set('Nst', 8)
 param_em_256s.set('Ske', 0)
 param_em_256s.set('R', 14)
 param_em_256s.set('Senc', 448)
@@ -384,6 +395,7 @@ param_em_256f.set('PARAM', 'EM_256F')
 param_em_256f.set('PARAM_L', 'em_256f')
 param_em_256f.set('LAMBDA', 256)
 param_em_256f.set('Nwd', 8)
+param_em_256f.set('Nwd', 4)
 param_em_256f.set('Ske', 0)
 param_em_256f.set('R', 14)
 param_em_256f.set('Senc', 448)