diff --git a/library/ecp_curves.c b/library/ecp_curves.c
index c23ff2c7e4..30ae79e277 100644
--- a/library/ecp_curves.c
+++ b/library/ecp_curves.c
@@ -4897,7 +4897,7 @@ static inline void carry64(mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry)
 #define A(i)        Np + (i) * WIDTH
 #define ADD(i)      add64(p, A(i), &c)
 #define NEXT        p += WIDTH; carry64(p, &c)
-#define LAST        p += WIDTH; *p = c; while (++p < end) *p = 0
+#define LAST        p += WIDTH; do *p = 0; while (++p < end)
 #define RESET       last_carry[0] = c; c = 0; p = Np
 #define ADD_LAST    add64(p, last_carry, &c)
 
@@ -4934,13 +4934,23 @@ int mbedtls_ecp_mod_p192_raw(mbedtls_mpi_uint *Np, size_t Nn)
 
     RESET;
 
+    /* Use the reduction for the carry as well:
+     * 2^192 * last_carry = 2^64 * last_carry + last_carry mod P192
+     * It can generate a carry. */
+    ADD_LAST; NEXT;                 // A0 += last_carry
+    ADD_LAST; NEXT;                 // A1 += last_carry
+                                    // A2 += carry
+
+    RESET;
+
     /* Use the reduction for the carry as well:
      * 2^192 * last_carry = 2^64 * last_carry + last_carry mod P192
      */
     ADD_LAST; NEXT;                 // A0 += last_carry
     ADD_LAST; NEXT;                 // A1 += last_carry
+                                    // A2 += carry
 
-    LAST;                           // A2 += carry
+    LAST;
 
     return 0;
 }
diff --git a/scripts/mbedtls_dev/ecp.py b/scripts/mbedtls_dev/ecp.py
index aee8718316..1c03205c16 100644
--- a/scripts/mbedtls_dev/ecp.py
+++ b/scripts/mbedtls_dev/ecp.py
@@ -28,7 +28,7 @@ class EcpTarget(test_data_generation.BaseTarget):
 
 class EcpP192R1Raw(bignum_common.ModOperationCommon,
                    EcpTarget):
-    """Test cases for ecp quasi_reduction()."""
+    """Test cases for ECP P192 fast reduction."""
     symbol = "-"
     test_function = "ecp_mod_p192_raw"
     test_name = "ecp_mod_p192_raw"
@@ -43,6 +43,24 @@ class EcpP192R1Raw(bignum_common.ModOperationCommon,
         # Modulus - 1
         "fffffffffffffffffffffffffffffffefffffffffffffffe",
 
+        # Modulus + 1
+        "ffffffffffffffffffffffffffffffff0000000000000000",
+
+        # 2^192 - 1
+        "ffffffffffffffffffffffffffffffffffffffffffffffff",
+
+        # Maximum canonical P192 multiplication result
+        ("fffffffffffffffffffffffffffffffdfffffffffffffffc"
+         "000000000000000100000000000000040000000000000004"),
+
+        # Generate an overflow during reduction
+        ("00000000000000000000000000000001ffffffffffffffff"
+         "ffffffffffffffffffffffffffffffff0000000000000000"),
+
+        # Generate an overflow during carry reduction
+        ("ffffffffffffffff00000000000000010000000000000000"
+         "fffffffffffffffeffffffffffffffff0000000000000000"),
+
         # First 8 number generated by random.getrandbits(384) - seed(2,2)
         ("cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd"
          "177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
@@ -81,7 +99,7 @@ class EcpP192R1Raw(bignum_common.ModOperationCommon,
 
 class EcpP224R1Raw(bignum_common.ModOperationCommon,
                    EcpTarget):
-    """Test cases for ecp quasi_reduction()."""
+    """Test cases for ECP P224 fast reduction."""
     symbol = "-"
     test_function = "ecp_mod_p224_raw"
     test_name = "ecp_mod_p224_raw"
@@ -96,6 +114,12 @@ class EcpP224R1Raw(bignum_common.ModOperationCommon,
         # Modulus - 1
         "ffffffffffffffffffffffffffffffff000000000000000000000000",
 
+        # Modulus + 1
+        "ffffffffffffffffffffffffffffffff000000000000000000000002",
+
+        # 2^224 - 1
+        "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+
         # Maximum canonical P224 multiplication result
         ("fffffffffffffffffffffffffffffffe000000000000000000000000"
          "00000001000000000000000000000000000000000000000000000000"),
@@ -145,100 +169,6 @@ class EcpP224R1Raw(bignum_common.ModOperationCommon,
         return True
 
 
-class EcpP384R1Raw(bignum_common.ModOperationCommon,
-                   EcpTarget):
-    """Test cases for ecp quasi_reduction modulo p384."""
-    test_function = "ecp_mod_p384_raw"
-    test_name = "ecp_mod_p384_raw"
-    input_style = "fixed"
-    arity = 1
-
-    moduli = [("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
-               "fffffeffffffff0000000000000000ffffffff")
-             ] # type: List[str]
-
-    input_values = [
-        "0", "1",
-
-        # Modulus - 1
-        ("fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffef"
-         "fffffff0000000000000000fffffffe"),
-
-        # Maximum canonical P384 multiplication result
-        ("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
-         "fdfffffffe0000000000000001fffffffc0000000000000000000000000000000"
-         "10000000200000000fffffffe000000020000000400000000fffffffc00000004"),
-
-        # Testing with overflow in A(12) + A(21) + A(20);
-        ("497811378624857a2c2af60d70583376545484cfae5c812fe2999fc1abb51d18b"
-         "559e8ca3b50aaf263fdf8f24bdfb98fffffffff20e65bf9099e4e73a5e8b517cf"
-         "4fbeb8fd1750fdae6d43f2e53f82d5ffffffffffffffffcc6f1e06111c62e0"),
-
-        # Testing with underflow in A(13) + A(22) + A(23) - A(12) - A(20);
-        ("dfdd25e96777406b3c04b8c7b406f5fcf287e1e576003a092852a6fbe517f2712"
-         "b68abef41dbd35183a0614fb7222606ffffffff84396eee542f18a9189d94396c"
-         "784059c17a9f18f807214ef32f2f10ffffffff8a77fac20000000000000000"),
-
-        # Testing with overflow in A(23) + A(20) + A(19) - A(22);
-        ("783753f8a5afba6c1862eead1deb2fcdd907272be3ffd18542b24a71ee8b26ca"
-         "b0aa33513610ff973042bbe1637cc9fc99ad36c7f703514572cf4f5c3044469a"
-         "8f5be6312c19e5d3f8fc1ac6ffffffffffffffff8c86252400000000ffffffff"),
-
-        # Testing with underflow in A(23) + A(20) + A(19) - A(22);
-        ("65e1d2362fce922663b7fd517586e88842a9b4bd092e93e6251c9c69f278cbf8"
-         "285d99ae3b53da5ba36e56701e2b17c225f1239556c5f00117fa140218b46ebd8"
-         "e34f50d0018701fa8a0a5cc00000000000000004410bcb4ffffffff00000000"),
-
-        # Testing the second round of carry reduction
-        ("000000000000000000000000ffffffffffffffffffffffffffffffffffffffff"
-         "ffffffffffffffff00000000000000000000000000000000ffffffff00000000"
-         "000000000000000100000000000000000000000000000000ffffffff00000001"),
-
-        # First 8 number generated by random.getrandbits(768) - seed(2,2)
-        ("ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd9b1f282e"
-         "4067c3584ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124"
-         "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
-        ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045defc044a09325626"
-         "e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57ebf30b94fa"
-         "82523e86feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"),
-        ("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0"
-         "829a48d422fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"
-         "2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"),
-        ("bd143fa9b714210c665d7435c1066932f4767f26294365b2721dea3bf63f23d0"
-         "dbe53fcafb2147df5ca495fa5a91c89b97eeab64ca2ce6bc5d3fd983c34c769f"
-         "e89204e2e8168561867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"),
-        ("8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"
-         "74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e80371eb9"
-         "7f81375eecc1cb6347733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"),
-        ("d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f87777ad1f45ae9500ec9"
-         "c5e2486c44a4a8f69dc8db48e86ec9c6e06f291b2a838af8d5c44a4eb3172062"
-         "d08f1bb2531d6460f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25"),
-        ("227eeb7b9d7d01f5769da05d205bbfcc8c69069134bccd3e1cf4f589f8e4ce0a"
-         "f29d115ef24bd625dd961e6830b54fa7d28f93435339774bb1e386c4fd5079e6"
-         "81b8f5896838b769da59b74a6c3181c81e220df848b1df78feb994a81167346"),
-        ("d322a7353ead4efe440e2b4fda9c025a22f1a83185b98f5fc11e60de1b343f52"
-         "ea748db9e020307aaeb6db2c3a038a709779ac1f45e9dd320c855fdfa7251af0"
-         "930cdbd30f0ad2a81b2d19a2beaa14a7ff3fe32a30ffc4eed0a7bd04e85bfcdd"),
-
-        # Next 2 number generated by random.getrandbits(384)
-        ("5c3747465cc36c270e8a35b10828d569c268a20eb78ac332e5e138e26c4454b9"
-         "0f756132e16dce72f18e859835e1f291"),
-        ("eb2b5693babb7fbb0a76c196067cfdcb11457d9cf45e2fa01d7f427515392480"
-         "0600571fac3a5b263fdf57cd2c006497")
-    ]
-
-    @property
-    def arg_a(self) -> str:
-        return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits)
-
-    def result(self) -> List[str]:
-        result = self.int_a % self.int_n
-        return [self.format_result(result)]
-
-    @property
-    def is_valid(self) -> bool:
-        return True
-
 class EcpP256R1Raw(bignum_common.ModOperationCommon,
                    EcpTarget):
     """Test cases for ECP P256 fast reduction."""
@@ -256,6 +186,12 @@ class EcpP256R1Raw(bignum_common.ModOperationCommon,
         # Modulus - 1
         "ffffffff00000001000000000000000000000000fffffffffffffffffffffffe",
 
+        # Modulus + 1
+        "ffffffff00000001000000000000000000000001000000000000000000000000",
+
+        # 2^256 - 1
+        "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+
         # Maximum canonical P256 multiplication result
         ("fffffffe00000002fffffffe0000000100000001fffffffe00000001fffffffc"
          "00000003fffffffcfffffffffffffffffffffffc000000000000000000000004"),
@@ -312,9 +248,125 @@ class EcpP256R1Raw(bignum_common.ModOperationCommon,
         return True
 
 
+class EcpP384R1Raw(bignum_common.ModOperationCommon,
+                   EcpTarget):
+    """Test cases for ECP P384 fast reduction."""
+    test_function = "ecp_mod_p384_raw"
+    test_name = "ecp_mod_p384_raw"
+    input_style = "fixed"
+    arity = 1
+
+    moduli = [("ffffffffffffffffffffffffffffffffffffffffffffffff"
+               "fffffffffffffffeffffffff0000000000000000ffffffff")
+             ] # type: List[str]
+
+    input_values = [
+        "0", "1",
+
+        # Modulus - 1
+        ("ffffffffffffffffffffffffffffffffffffffffffffffff"
+         "fffffffffffffffeffffffff0000000000000000fffffffe"),
+
+        # Modulus + 1
+        ("ffffffffffffffffffffffffffffffffffffffffffffffff"
+         "fffffffffffffffeffffffff000000000000000100000000"),
+
+        # 2^384 - 1
+        ("ffffffffffffffffffffffffffffffffffffffffffffffff"
+         "ffffffffffffffffffffffffffffffffffffffffffffffff"),
+
+        # Maximum canonical P384 multiplication result
+        ("ffffffffffffffffffffffffffffffffffffffffffffffff"
+         "fffffffffffffffdfffffffe0000000000000001fffffffc"
+         "000000000000000000000000000000010000000200000000"
+         "fffffffe000000020000000400000000fffffffc00000004"),
+
+        # Testing with overflow in A(12) + A(21) + A(20);
+        ("497811378624857a2c2af60d70583376545484cfae5c812f"
+         "e2999fc1abb51d18b559e8ca3b50aaf263fdf8f24bdfb98f"
+         "ffffffff20e65bf9099e4e73a5e8b517cf4fbeb8fd1750fd"
+         "ae6d43f2e53f82d5ffffffffffffffffcc6f1e06111c62e0"),
+
+        # Testing with underflow in A(13) + A(22) + A(23) - A(12) - A(20);
+        ("dfdd25e96777406b3c04b8c7b406f5fcf287e1e576003a09"
+         "2852a6fbe517f2712b68abef41dbd35183a0614fb7222606"
+         "ffffffff84396eee542f18a9189d94396c784059c17a9f18"
+         "f807214ef32f2f10ffffffff8a77fac20000000000000000"),
+
+        # Testing with overflow in A(23) + A(20) + A(19) - A(22);
+        ("783753f8a5afba6c1862eead1deb2fcdd907272be3ffd185"
+         "42b24a71ee8b26cab0aa33513610ff973042bbe1637cc9fc"
+         "99ad36c7f703514572cf4f5c3044469a8f5be6312c19e5d3"
+         "f8fc1ac6ffffffffffffffff8c86252400000000ffffffff"),
+
+        # Testing with underflow in A(23) + A(20) + A(19) - A(22);
+        ("65e1d2362fce922663b7fd517586e88842a9b4bd092e93e6"
+         "251c9c69f278cbf8285d99ae3b53da5ba36e56701e2b17c2"
+         "25f1239556c5f00117fa140218b46ebd8e34f50d0018701f"
+         "a8a0a5cc00000000000000004410bcb4ffffffff00000000"),
+
+        # Testing the second round of carry reduction
+        ("000000000000000000000000ffffffffffffffffffffffff"
+         "ffffffffffffffffffffffffffffffff0000000000000000"
+         "0000000000000000ffffffff000000000000000000000001"
+         "00000000000000000000000000000000ffffffff00000001"),
+
+        # First 8 number generated by random.getrandbits(768) - seed(2,2)
+        ("ffed9235288bc781ae66267594c9c9500925e4749b575bd1"
+         "3653f8dd9b1f282e4067c3584ee207f8da94e3e8ab73738f"
+         "cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd"
+         "177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
+        ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045"
+         "defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2"
+         "ef8acd128b4f2fc15f3f57ebf30b94fa82523e86feac7eb7"
+         "dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"),
+        ("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1"
+         "5c14bc4a829e07b0829a48d422fe99a22c70501e533c9135"
+         "2d3d854e061b90303b08c6e33c7295782d6c797f8f7d9b78"
+         "2a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"),
+        ("bd143fa9b714210c665d7435c1066932f4767f26294365b2"
+         "721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"
+         "97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561"
+         "867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"),
+        ("8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4"
+         "e73695c3e652c71a74667bffe202849da9643a295a9ac6de"
+         "cbd4d3e2d4dec9ef83f0be4e80371eb97f81375eecc1cb63"
+         "47733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"),
+        ("d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f8777"
+         "7ad1f45ae9500ec9c5e2486c44a4a8f69dc8db48e86ec9c6"
+         "e06f291b2a838af8d5c44a4eb3172062d08f1bb2531d6460"
+         "f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25"),
+        ("0227eeb7b9d7d01f5769da05d205bbfcc8c69069134bccd3"
+         "e1cf4f589f8e4ce0af29d115ef24bd625dd961e6830b54fa"
+         "7d28f93435339774bb1e386c4fd5079e681b8f5896838b76"
+         "9da59b74a6c3181c81e220df848b1df78feb994a81167346"),
+        ("d322a7353ead4efe440e2b4fda9c025a22f1a83185b98f5f"
+         "c11e60de1b343f52ea748db9e020307aaeb6db2c3a038a70"
+         "9779ac1f45e9dd320c855fdfa7251af0930cdbd30f0ad2a8"
+         "1b2d19a2beaa14a7ff3fe32a30ffc4eed0a7bd04e85bfcdd"),
+
+        # Next 2 number generated by random.getrandbits(384)
+        ("5c3747465cc36c270e8a35b10828d569c268a20eb78ac332"
+         "e5e138e26c4454b90f756132e16dce72f18e859835e1f291"),
+        ("eb2b5693babb7fbb0a76c196067cfdcb11457d9cf45e2fa0"
+         "1d7f4275153924800600571fac3a5b263fdf57cd2c006497")
+    ]
+
+    @property
+    def arg_a(self) -> str:
+        return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits)
+
+    def result(self) -> List[str]:
+        result = self.int_a % self.int_n
+        return [self.format_result(result)]
+
+    @property
+    def is_valid(self) -> bool:
+        return True
+
 class EcpP521R1Raw(bignum_common.ModOperationCommon,
                    EcpTarget):
-    """Test cases for ecp quasi_reduction()."""
+    """Test cases for ECP P521 fast reduction."""
     test_function = "ecp_mod_p521_raw"
     test_name = "ecp_mod_p521_raw"
     input_style = "arch_split"
@@ -327,7 +379,15 @@ class EcpP521R1Raw(bignum_common.ModOperationCommon,
     input_values = [
         "0", "1",
 
-        # Corner case: maximum canonical P521 multiplication result
+        # Modulus - 1
+        ("01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+         "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe"),
+
+        # Modulus + 1
+        ("020000000000000000000000000000000000000000000000000000000000000000"
+         "000000000000000000000000000000000000000000000000000000000000000000"),
+
+        # Maximum canonical P521 multiplication result
         ("0003ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
          "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
          "fffff800"