diff --git a/crypto_kem/ntrulpr653/avx2/kem.c b/crypto_kem/ntrulpr653/avx2/kem.c
index 70d6a0ce..19ae250f 100644
--- a/crypto_kem/ntrulpr653/avx2/kem.c
+++ b/crypto_kem/ntrulpr653/avx2/kem.c
@@ -107,11 +107,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[p];
+    int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     Short_fromlist(out, L);
 }
 
diff --git a/crypto_kem/ntrulpr653/clean/kem.c b/crypto_kem/ntrulpr653/clean/kem.c
index 1da750e0..6d4eaa4a 100644
--- a/crypto_kem/ntrulpr653/clean/kem.c
+++ b/crypto_kem/ntrulpr653/clean/kem.c
@@ -107,11 +107,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[p];
+    int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     Short_fromlist(out, L);
 }
 
diff --git a/crypto_kem/ntrulpr761/avx2/kem.c b/crypto_kem/ntrulpr761/avx2/kem.c
index 2c5dbbf6..e42cf7d0 100644
--- a/crypto_kem/ntrulpr761/avx2/kem.c
+++ b/crypto_kem/ntrulpr761/avx2/kem.c
@@ -107,11 +107,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[p];
+    int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     Short_fromlist(out, L);
 }
 
diff --git a/crypto_kem/ntrulpr761/clean/kem.c b/crypto_kem/ntrulpr761/clean/kem.c
index e2ecdd28..16f24b4a 100644
--- a/crypto_kem/ntrulpr761/clean/kem.c
+++ b/crypto_kem/ntrulpr761/clean/kem.c
@@ -107,11 +107,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[p];
+    int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     Short_fromlist(out, L);
 }
 
diff --git a/crypto_kem/ntrulpr857/avx2/kem.c b/crypto_kem/ntrulpr857/avx2/kem.c
index c13eebf7..4946b7a1 100644
--- a/crypto_kem/ntrulpr857/avx2/kem.c
+++ b/crypto_kem/ntrulpr857/avx2/kem.c
@@ -107,11 +107,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[p];
+    int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     Short_fromlist(out, L);
 }
 
diff --git a/crypto_kem/ntrulpr857/clean/kem.c b/crypto_kem/ntrulpr857/clean/kem.c
index 5fe4d188..3b7db820 100644
--- a/crypto_kem/ntrulpr857/clean/kem.c
+++ b/crypto_kem/ntrulpr857/clean/kem.c
@@ -107,11 +107,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[p];
+    int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     Short_fromlist(out, L);
 }
 
diff --git a/crypto_kem/sntrup653/avx2/kem.c b/crypto_kem/sntrup653/avx2/kem.c
index b9c026c5..6c53b32e 100644
--- a/crypto_kem/sntrup653/avx2/kem.c
+++ b/crypto_kem/sntrup653/avx2/kem.c
@@ -73,12 +73,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[ppadsort];
     int i;
 
-    randombytes((unsigned char *) L, 4 * p);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < ppadsort; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < w; ++i) {
         L[i] = L[i] & (uint32) - 2;
     }
@@ -98,8 +111,9 @@ static void Small_random(small *out) {
     uint32 L[p];
     int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < p; ++i) {
         out[i] = (((L[i] & 0x3fffffff) * 3) >> 30) - 1;
     }
diff --git a/crypto_kem/sntrup653/clean/kem.c b/crypto_kem/sntrup653/clean/kem.c
index 6f269166..9ade99fb 100644
--- a/crypto_kem/sntrup653/clean/kem.c
+++ b/crypto_kem/sntrup653/clean/kem.c
@@ -73,12 +73,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[ppadsort];
     int i;
 
-    randombytes((unsigned char *) L, 4 * p);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < ppadsort; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < w; ++i) {
         L[i] = L[i] & (uint32) - 2;
     }
@@ -98,8 +111,9 @@ static void Small_random(small *out) {
     uint32 L[p];
     int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < p; ++i) {
         out[i] = (((L[i] & 0x3fffffff) * 3) >> 30) - 1;
     }
diff --git a/crypto_kem/sntrup761/avx2/kem.c b/crypto_kem/sntrup761/avx2/kem.c
index 7d0d0152..6eeeb496 100644
--- a/crypto_kem/sntrup761/avx2/kem.c
+++ b/crypto_kem/sntrup761/avx2/kem.c
@@ -73,12 +73,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[ppadsort];
     int i;
 
-    randombytes((unsigned char *) L, 4 * p);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < ppadsort; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < w; ++i) {
         L[i] = L[i] & (uint32) - 2;
     }
@@ -98,8 +111,9 @@ static void Small_random(small *out) {
     uint32 L[p];
     int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < p; ++i) {
         out[i] = (((L[i] & 0x3fffffff) * 3) >> 30) - 1;
     }
diff --git a/crypto_kem/sntrup761/avx2/params.h b/crypto_kem/sntrup761/avx2/params.h
index 7d1c63d8..cfc95319 100644
--- a/crypto_kem/sntrup761/avx2/params.h
+++ b/crypto_kem/sntrup761/avx2/params.h
@@ -31,7 +31,7 @@
 #define q 4591
 #define w 286
 
-#define ppadsort 768
+#define ppadsort 761
 
 #define crypto_verify_clen PQCLEAN_SNTRUP761_AVX2_crypto_verify_1039
 
diff --git a/crypto_kem/sntrup761/clean/kem.c b/crypto_kem/sntrup761/clean/kem.c
index 7e545aa7..fd9f1f63 100644
--- a/crypto_kem/sntrup761/clean/kem.c
+++ b/crypto_kem/sntrup761/clean/kem.c
@@ -73,12 +73,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[ppadsort];
     int i;
 
-    randombytes((unsigned char *) L, 4 * p);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < ppadsort; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < w; ++i) {
         L[i] = L[i] & (uint32) - 2;
     }
@@ -98,8 +111,9 @@ static void Small_random(small *out) {
     uint32 L[p];
     int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < p; ++i) {
         out[i] = (((L[i] & 0x3fffffff) * 3) >> 30) - 1;
     }
diff --git a/crypto_kem/sntrup761/clean/params.h b/crypto_kem/sntrup761/clean/params.h
index f64a7454..af77a621 100644
--- a/crypto_kem/sntrup761/clean/params.h
+++ b/crypto_kem/sntrup761/clean/params.h
@@ -28,7 +28,7 @@
 #define q 4591
 #define w 286
 
-#define ppadsort 768
+#define ppadsort 761
 
 #define crypto_verify_clen PQCLEAN_SNTRUP761_CLEAN_crypto_verify_1039
 
diff --git a/crypto_kem/sntrup857/avx2/kem.c b/crypto_kem/sntrup857/avx2/kem.c
index bbf3abc4..1cbfdf24 100644
--- a/crypto_kem/sntrup857/avx2/kem.c
+++ b/crypto_kem/sntrup857/avx2/kem.c
@@ -73,12 +73,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[ppadsort];
     int i;
 
-    randombytes((unsigned char *) L, 4 * p);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < ppadsort; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < w; ++i) {
         L[i] = L[i] & (uint32) - 2;
     }
@@ -98,8 +111,9 @@ static void Small_random(small *out) {
     uint32 L[p];
     int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < p; ++i) {
         out[i] = (((L[i] & 0x3fffffff) * 3) >> 30) - 1;
     }
diff --git a/crypto_kem/sntrup857/clean/kem.c b/crypto_kem/sntrup857/clean/kem.c
index 74cc1acd..a555e254 100644
--- a/crypto_kem/sntrup857/clean/kem.c
+++ b/crypto_kem/sntrup857/clean/kem.c
@@ -73,12 +73,25 @@ static void Hash(unsigned char *out, const unsigned char *in, int inlen) {
 
 /* ----- higher-level randomness */
 
+static uint32 urandom32(void) {
+    unsigned char c[4];
+    uint32 out[4];
+
+    randombytes(c, 4);
+    out[0] = (uint32)c[0];
+    out[1] = ((uint32)c[1]) << 8;
+    out[2] = ((uint32)c[2]) << 16;
+    out[3] = ((uint32)c[3]) << 24;
+    return out[0] + out[1] + out[2] + out[3];
+}
+
 static void Short_random(small *out) {
     uint32 L[ppadsort];
     int i;
 
-    randombytes((unsigned char *) L, 4 * p);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < ppadsort; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < w; ++i) {
         L[i] = L[i] & (uint32) - 2;
     }
@@ -98,8 +111,9 @@ static void Small_random(small *out) {
     uint32 L[p];
     int i;
 
-    randombytes((unsigned char *) L, sizeof L);
-    crypto_decode_pxint32(L, (unsigned char *) L);
+    for (i = 0; i < p; ++i) {
+        L[i] = urandom32();
+    }
     for (i = 0; i < p; ++i) {
         out[i] = (((L[i] & 0x3fffffff) * 3) >> 30) - 1;
     }