Use shared representation of EC_Group

Hide CurveGFp with an eye for eventual removal

17 files changed, 347 insertions, 202 deletions

diff --git a/src/cli/pubkey.cpp b/src/cli/pubkey.cpp
index ffe1470dc..0e515d2ea 100644
--- a/src/cli/pubkey.cpp
+++ b/src/cli/pubkey.cpp
@@ -340,9 +340,9 @@ class EC_Group_Info final : public Command
             }
          else
             {
-            output() << "P = " << std::hex << group.get_curve().get_p() << "\n"
-                     << "A = " << std::hex << group.get_curve().get_a() << "\n"
-                     << "B = " << std::hex << group.get_curve().get_b() << "\n"
+            output() << "P = " << std::hex << group.get_p() << "\n"
+                     << "A = " << std::hex << group.get_a() << "\n"
+                     << "B = " << std::hex << group.get_b() << "\n"
                      << "G = " << group.get_base_point().get_affine_x() << ","
                      << group.get_base_point().get_affine_y() << "\n";
             }
diff --git a/src/cli/speed.cpp b/src/cli/speed.cpp
index 04b8cc3ff..7dbc7922c 100644
--- a/src/cli/speed.cpp
+++ b/src/cli/speed.cpp
@@ -1215,7 +1215,7 @@ class Speed final : public Command
             Timer mult_timer(group_name + " scalar mult");
             Timer blinded_mult_timer(group_name + " blinded scalar mult");
 
-            const Botan::BigInt scalar(rng(), group.get_curve().get_p().bits());
+            const Botan::BigInt scalar(rng(), group.get_p_bits());
             const Botan::PointGFp& base_point = group.get_base_point();
             Botan::Blinded_Point_Multiply scalar_mult(base_point, group.get_order(), 4);
 
@@ -1242,7 +1242,6 @@ class Speed final : public Command
          for(std::string group_name : groups)
             {
             const Botan::EC_Group group(group_name);
-            const Botan::CurveGFp& curve = group.get_curve();
 
             while(uncmp_timer.under(runtime) && cmp_timer.under(runtime))
                {
@@ -1251,8 +1250,8 @@ class Speed final : public Command
                const Botan::secure_vector<uint8_t> os_cmp = Botan::EC2OSP(p, Botan::PointGFp::COMPRESSED);
                const Botan::secure_vector<uint8_t> os_uncmp = Botan::EC2OSP(p, Botan::PointGFp::UNCOMPRESSED);
 
-               uncmp_timer.run([&]() { OS2ECP(os_uncmp, curve); });
-               cmp_timer.run([&]() { OS2ECP(os_cmp, curve); });
+               uncmp_timer.run([&]() { group.OS2ECP(os_uncmp); });
+               cmp_timer.run([&]() { group.OS2ECP(os_cmp); });
                }
 
             record_result(uncmp_timer);
diff --git a/src/fuzzer/os2ecp.cpp b/src/fuzzer/os2ecp.cpp
index dba6dbdfe..cb4a50b47 100644
--- a/src/fuzzer/os2ecp.cpp
+++ b/src/fuzzer/os2ecp.cpp
@@ -13,7 +13,7 @@ void check_os2ecp(const Botan::EC_Group& group, const uint8_t in[], size_t len)
    {
    try
       {
-      Botan::PointGFp point = Botan::OS2ECP(in, len, group.get_curve());
+      Botan::PointGFp point = group.OS2ECP(in, len);
       }
    catch(Botan::Exception& e) {}
    }
diff --git a/src/lib/ffi/ffi_pkey_algs.cpp b/src/lib/ffi/ffi_pkey_algs.cpp
index a20d7de40..7091708a8 100644
--- a/src/lib/ffi/ffi_pkey_algs.cpp
+++ b/src/lib/ffi/ffi_pkey_algs.cpp
@@ -96,7 +96,7 @@ int pubkey_load_ec(std::unique_ptr<ECPublicKey_t>& key,
       return BOTAN_FFI_ERROR_NULL_POINTER;
 
    Botan::EC_Group grp(curve_name);
-   Botan::PointGFp uncompressed_point(grp.get_curve(), public_x, public_y);
+   Botan::PointGFp uncompressed_point = grp.point(public_x, public_y);
    key.reset(new ECPublicKey_t(grp, uncompressed_point));
    return BOTAN_FFI_SUCCESS;
    }
@@ -149,11 +149,11 @@ Botan::BigInt pubkey_get_field(const Botan::Public_Key& key,
       else if(field == "base_y")
          return ecc->domain().get_base_point().get_affine_y();
       else if(field == "p")
-         return ecc->domain().get_curve().get_p();
+         return ecc->domain().get_p();
       else if(field == "a")
-         return ecc->domain().get_curve().get_a();
+         return ecc->domain().get_a();
       else if(field == "b")
-         return ecc->domain().get_curve().get_b();
+         return ecc->domain().get_b();
       else if(field == "cofactor")
          return ecc->domain().get_cofactor();
       else if(field == "order")
diff --git a/src/lib/prov/pkcs11/p11_ecc_key.cpp b/src/lib/prov/pkcs11/p11_ecc_key.cpp
index df55b9ffb..3a0fa6350 100644
--- a/src/lib/prov/pkcs11/p11_ecc_key.cpp
+++ b/src/lib/prov/pkcs11/p11_ecc_key.cpp
@@ -17,11 +17,11 @@ namespace Botan {
 namespace PKCS11 {
 namespace {
 /// Converts a DER-encoded ANSI X9.62 ECPoint to PointGFp
-PointGFp decode_public_point(const secure_vector<uint8_t>& ec_point_data, const CurveGFp& curve)
+PointGFp decode_public_point(const secure_vector<uint8_t>& ec_point_data, const EC_Group& group)
    {
    secure_vector<uint8_t> ec_point;
    BER_Decoder(ec_point_data).decode(ec_point, OCTET_STRING);
-   return OS2ECP(ec_point, curve);
+   return group.OS2ECP(ec_point);
    }
 }
 
@@ -44,7 +44,7 @@ PKCS11_EC_PublicKey::PKCS11_EC_PublicKey(Session& session, ObjectHandle handle)
    {
    secure_vector<uint8_t> ec_parameters = get_attribute_value(AttributeType::EcParams);
    m_domain_params = EC_Group(unlock(ec_parameters));
-   m_public_key = decode_public_point(get_attribute_value(AttributeType::EcPoint), m_domain_params.get_curve());
+   m_public_key = decode_public_point(get_attribute_value(AttributeType::EcPoint), m_domain_params);
    m_domain_encoding = EC_DOMPAR_ENC_EXPLICIT;
    }
 
@@ -55,7 +55,7 @@ PKCS11_EC_PublicKey::PKCS11_EC_PublicKey(Session& session, const EC_PublicKeyImp
 
    secure_vector<uint8_t> ec_point;
    BER_Decoder(props.ec_point()).decode(ec_point, OCTET_STRING);
-   m_public_key = OS2ECP(ec_point, m_domain_params.get_curve());
+   m_public_key = m_domain_params.OS2ECP(ec_point);
    m_domain_encoding = EC_DOMPAR_ENC_EXPLICIT;
    }
 
@@ -100,7 +100,7 @@ PKCS11_EC_PrivateKey::PKCS11_EC_PrivateKey(Session& session, const std::vector<u
    this->reset_handle(priv_key_handle);
 
    Object public_key(session, pub_key_handle);
-   m_public_key = decode_public_point(public_key.get_attribute_value(AttributeType::EcPoint), m_domain_params.get_curve());
+   m_public_key = decode_public_point(public_key.get_attribute_value(AttributeType::EcPoint), m_domain_params);
    }
 
 size_t PKCS11_EC_PrivateKey::key_length() const
diff --git a/src/lib/pubkey/ec_group/ec_group.cpp b/src/lib/pubkey/ec_group/ec_group.cpp
index 6ae8c16d8..8a3ffa718 100644
--- a/src/lib/pubkey/ec_group/ec_group.cpp
+++ b/src/lib/pubkey/ec_group/ec_group.cpp
@@ -2,7 +2,7 @@
 * ECC Domain Parameters
 *
 * (C) 2007 Falko Strenzke, FlexSecure GmbH
-*     2008 Jack Lloyd
+*     2008,2018 Jack Lloyd
 *
 * Botan is released under the Simplified BSD License (see license.txt)
 */
@@ -16,56 +16,42 @@
 
 namespace Botan {
 
-EC_Group::EC_Group(const OID& domain_oid)
+struct EC_Group_Data
    {
-   const std::string pem = PEM_for_named_group(OIDS::lookup(domain_oid));
+   CurveGFp m_curve;
+   PointGFp m_base_point;
+   BigInt m_order;
+   BigInt m_cofactor;
+   OID m_oid;
+   size_t m_p_bits, m_p_bytes;
+   };
 
-   if(pem == "")
-      {
-      throw Lookup_Error("No ECC domain data for '" + domain_oid.as_string() + "'");
-      }
+namespace {
 
-   *this = EC_Group(pem);
-   m_oid = domain_oid.as_string();
-   }
+std::shared_ptr<EC_Group_Data> lookup_EC_group_by_oid(const OID& oid);
 
-EC_Group::EC_Group(const std::string& str)
+std::shared_ptr<EC_Group_Data> BER_decode_EC_group(const uint8_t bits[], size_t len)
    {
-   if(str == "")
-      return; // no initialization / uninitialized
-
-   try
-      {
-      std::vector<uint8_t> ber =
-         unlock(PEM_Code::decode_check_label(str, "EC PARAMETERS"));
-
-      *this = EC_Group(ber);
-      }
-   catch(Decoding_Error) // hmm, not PEM?
-      {
-      *this = EC_Group(OIDS::lookup(str));
-      }
-   }
-
-EC_Group::EC_Group(const std::vector<uint8_t>& ber_data)
-   {
-   BER_Decoder ber(ber_data);
+   BER_Decoder ber(bits, len);
    BER_Object obj = ber.get_next_object();
 
    if(obj.type() == NULL_TAG)
-      throw Decoding_Error("Cannot handle ImplicitCA ECDSA parameters");
+      {
+      throw Decoding_Error("Cannot handle ImplicitCA ECC parameters");
+      }
    else if(obj.type() == OBJECT_ID)
       {
       OID dom_par_oid;
-      BER_Decoder(ber_data).decode(dom_par_oid);
-      *this = EC_Group(dom_par_oid);
+      BER_Decoder(bits, len).decode(dom_par_oid);
+      return lookup_EC_group_by_oid(dom_par_oid);
       }
    else if(obj.type() == SEQUENCE)
       {
+      std::shared_ptr<EC_Group_Data> data = std::make_shared<EC_Group_Data>();
       BigInt p, a, b;
       std::vector<uint8_t> sv_base_point;
 
-      BER_Decoder(ber_data)
+      BER_Decoder(bits, len)
          .start_cons(SEQUENCE)
            .decode_and_check<size_t>(1, "Unknown ECC param version code")
            .start_cons(SEQUENCE)
@@ -78,16 +64,166 @@ EC_Group::EC_Group(const std::vector<uint8_t>& ber_data)
              .decode_octet_string_bigint(b)
            .end_cons()
            .decode(sv_base_point, OCTET_STRING)
-           .decode(m_order)
-           .decode(m_cofactor)
+           .decode(data->m_order)
+           .decode(data->m_cofactor)
          .end_cons()
          .verify_end();
 
-      m_curve = CurveGFp(p, a, b);
-      m_base_point = OS2ECP(sv_base_point, m_curve);
+      data->m_curve = CurveGFp(p, a, b);
+      data->m_base_point = Botan::OS2ECP(sv_base_point, data->m_curve);
+
+      data->m_p_bits = p.bits();
+      data->m_p_bytes = p.bytes();
+      return data;
       }
    else
+      {
       throw Decoding_Error("Unexpected tag while decoding ECC domain params");
+      }
+   }
+
+std::shared_ptr<EC_Group_Data> BER_decode_EC_group(const std::string& pem)
+   {
+   secure_vector<uint8_t> ber = PEM_Code::decode_check_label(pem, "EC PARAMETERS");
+   return BER_decode_EC_group(ber.data(), ber.size());
+   }
+
+std::shared_ptr<EC_Group_Data> lookup_EC_group_by_oid(const OID& oid)
+   {
+   if(oid.empty())
+      throw Invalid_Argument("lookup_EC_group_by_oid with empty oid");
+
+   const std::string oid_name = OIDS::oid2str(oid);
+   if(oid_name.empty())
+      throw Invalid_Argument("Unknown EC group OID " + oid.as_string());
+
+   const std::string pem = EC_Group::PEM_for_named_group(oid_name);
+   if(pem.empty())
+      throw Invalid_Argument("EC group OID (" + oid_name + ") is not known");
+   std::shared_ptr<EC_Group_Data> data = BER_decode_EC_group(pem);
+   data->m_oid = oid;
+   return data;
+   }
+
+}
+
+EC_Group::EC_Group(const OID& domain_oid)
+   {
+   this->m_data = lookup_EC_group_by_oid(domain_oid);
+   }
+
+EC_Group::EC_Group(const std::string& str)
+   {
+   if(str == "")
+      return; // no initialization / uninitialized
+
+   try
+      {
+      OID oid = OIDS::lookup(str);
+      if(oid.empty() == false)
+         m_data = lookup_EC_group_by_oid(oid);
+      }
+   catch(Invalid_OID)
+      {
+      }
+
+   if(m_data == nullptr)
+      {
+      // OK try it as PEM ...
+      this->m_data = BER_decode_EC_group(str);
+      }
+   }
+
+EC_Group::EC_Group(const CurveGFp& curve,
+                   const PointGFp& base_point,
+                   const BigInt& order,
+                   const BigInt& cofactor)
+   {
+   m_data.reset(new EC_Group_Data);
+
+   m_data->m_curve = curve;
+   m_data->m_base_point = base_point;
+   m_data->m_order = order;
+   m_data->m_cofactor = cofactor;
+   m_data->m_p_bits = curve.get_p().bits();
+   m_data->m_p_bytes = curve.get_p().bytes();
+   }
+
+EC_Group::EC_Group(const std::vector<uint8_t>& ber)
+   {
+   m_data = BER_decode_EC_group(ber.data(), ber.size());
+   }
+
+const EC_Group_Data& EC_Group::data() const
+   {
+   if(m_data == nullptr)
+      throw Invalid_State("EC_Group uninitialized");
+   return *m_data;
+   }
+
+const CurveGFp& EC_Group::get_curve() const
+   {
+   return data().m_curve;
+   }
+
+size_t EC_Group::get_p_bits() const
+   {
+   return data().m_p_bits;
+   }
+
+size_t EC_Group::get_p_bytes() const
+   {
+   return data().m_p_bytes;
+   }
+
+const BigInt& EC_Group::get_p() const
+   {
+   return data().m_curve.get_p();
+   }
+
+const BigInt& EC_Group::get_a() const
+   {
+   return data().m_curve.get_a();
+   }
+
+const BigInt& EC_Group::get_b() const
+   {
+   return data().m_curve.get_b();
+   }
+
+const PointGFp& EC_Group::get_base_point() const
+   {
+   return data().m_base_point;
+   }
+
+const BigInt& EC_Group::get_order() const
+   {
+   return data().m_order;
+   }
+
+const BigInt& EC_Group::get_cofactor() const
+   {
+   return data().m_cofactor;
+   }
+
+const OID& EC_Group::get_curve_oid() const
+   {
+   return data().m_oid;
+   }
+
+PointGFp EC_Group::OS2ECP(const uint8_t bits[], size_t len) const
+   {
+   return Botan::OS2ECP(bits, len, get_curve());
+   }
+
+PointGFp EC_Group::point(const BigInt& x, const BigInt& y) const
+   {
+   return PointGFp(get_curve(), x, y);
+   }
+
+PointGFp EC_Group::zero_point() const
+   {
+   return PointGFp(get_curve());
    }
 
 std::vector<uint8_t>
@@ -96,36 +232,37 @@ EC_Group::DER_encode(EC_Group_Encoding form) const
    if(form == EC_DOMPAR_ENC_EXPLICIT)
       {
       const size_t ecpVers1 = 1;
-      OID curve_type("1.2.840.10045.1.1");
+      OID curve_type("1.2.840.10045.1.1"); // prime field
 
-      const size_t p_bytes = m_curve.get_p().bytes();
+      const size_t p_bytes = get_p_bytes();
 
       return DER_Encoder()
          .start_cons(SEQUENCE)
             .encode(ecpVers1)
             .start_cons(SEQUENCE)
                .encode(curve_type)
-               .encode(m_curve.get_p())
+               .encode(get_p())
             .end_cons()
             .start_cons(SEQUENCE)
-               .encode(BigInt::encode_1363(m_curve.get_a(), p_bytes),
+               .encode(BigInt::encode_1363(get_a(), p_bytes),
                        OCTET_STRING)
-               .encode(BigInt::encode_1363(m_curve.get_b(), p_bytes),
+               .encode(BigInt::encode_1363(get_b(), p_bytes),
                        OCTET_STRING)
             .end_cons()
-            .encode(EC2OSP(m_base_point, PointGFp::UNCOMPRESSED), OCTET_STRING)
-            .encode(m_order)
-            .encode(m_cofactor)
+            .encode(EC2OSP(get_base_point(), PointGFp::UNCOMPRESSED), OCTET_STRING)
+            .encode(get_order())
+            .encode(get_cofactor())
          .end_cons()
          .get_contents_unlocked();
       }
    else if(form == EC_DOMPAR_ENC_OID)
       {
-      if(get_oid().empty())
+      const OID oid = get_curve_oid();
+      if(oid.empty())
          {
          throw Encoding_Error("Cannot encode EC_Group as OID because OID not set");
          }
-      return DER_Encoder().encode(OID(get_oid())).get_contents_unlocked();
+      return DER_Encoder().encode(oid).get_contents_unlocked();
       }
    else if(form == EC_DOMPAR_ENC_IMPLICITCA)
       return DER_Encoder().encode_null().get_contents_unlocked();
@@ -143,9 +280,9 @@ bool EC_Group::verify_group(RandomNumberGenerator& rng,
                             bool) const
    {
    //compute the discriminant
-   Modular_Reducer p(m_curve.get_p());
-   BigInt discriminant = p.multiply(4, m_curve.get_a());
-   discriminant += p.multiply(27, m_curve.get_b());
+   Modular_Reducer p(get_p());
+   BigInt discriminant = p.multiply(4, get_a());
+   discriminant += p.multiply(27, get_b());
    discriminant = p.reduce(discriminant);
    //check the discriminant
    if(discriminant == 0)
@@ -153,26 +290,26 @@ bool EC_Group::verify_group(RandomNumberGenerator& rng,
       return false;
       }
    //check for valid cofactor
-   if(m_cofactor < 1)
+   if(get_cofactor() < 1)
       {
       return false;
       }
    //check if the base point is on the curve
-   if(!m_base_point.on_the_curve())
+   if(!get_base_point().on_the_curve())
       {
       return false;
       }
-   if((m_base_point * m_cofactor).is_zero())
+   if((get_base_point() * get_cofactor()).is_zero())
       {
       return false;
       }
    //check if order is prime
-   if(!is_prime(m_order, rng, 128))
+   if(!is_prime(get_order(), rng, 128))
       {
       return false;
       }
    //check if order of the base point is correct
-   if(!(m_base_point * m_order).is_zero())
+   if(!(get_base_point() * get_order()).is_zero())
       {
       return false;
       }
diff --git a/src/lib/pubkey/ec_group/ec_group.h b/src/lib/pubkey/ec_group/ec_group.h
index 18ffed12c..3da38a7da 100644
--- a/src/lib/pubkey/ec_group/ec_group.h
+++ b/src/lib/pubkey/ec_group/ec_group.h
@@ -13,6 +13,7 @@
 #include <botan/point_gfp.h>
 #include <botan/curve_gfp.h>
 #include <botan/asn1_oid.h>
+#include <memory>
 #include <set>
 
 namespace Botan {
@@ -26,6 +27,8 @@ enum EC_Group_Encoding {
    EC_DOMPAR_ENC_OID = 2
 };
 
+struct EC_Group_Data;
+
 /**
 * Class representing an elliptic curve
 */
@@ -43,13 +46,7 @@ class BOTAN_PUBLIC_API(2,0) EC_Group final
       EC_Group(const CurveGFp& curve,
                const PointGFp& base_point,
                const BigInt& order,
-               const BigInt& cofactor) :
-         m_curve(curve),
-         m_base_point(base_point),
-         m_order(order),
-         m_cofactor(cofactor),
-         m_oid("")
-         {}
+               const BigInt& cofactor);
 
       /**
       * Decode a BER encoded ECC domain parameter set
@@ -68,7 +65,7 @@ class BOTAN_PUBLIC_API(2,0) EC_Group final
       * from an OID name (eg "secp256r1", or "1.2.840.10045.3.1.7")
       * @param pem_or_oid PEM-encoded data, or an OID
       */
-      EC_Group(const std::string& pem_or_oid = "");
+      explicit EC_Group(const std::string& pem_or_oid = "");
 
       /**
       * Create the DER encoding of this domain
@@ -87,41 +84,90 @@ class BOTAN_PUBLIC_API(2,0) EC_Group final
       * Return domain parameter curve
       * @result domain parameter curve
       */
-      const CurveGFp& get_curve() const { return m_curve; }
+      const CurveGFp& BOTAN_DEPRECATED("Avoid CurveGFp") get_curve() const;
+
+      /**
+      * Return the size of p in bits (same as get_p().bits())
+      */
+      size_t get_p_bits() const;
+
+      /**
+      * Return the size of p in bits (same as get_p().bytes())
+      */
+      size_t get_p_bytes() const;
+
+      /**
+      * Return the prime modulus of the field
+      */
+      const BigInt& get_p() const;
+
+      /**
+      * Return the a parameter of the elliptic curve equation
+      */
+      const BigInt& get_a() const;
+
+      /**
+      * Return the b parameter of the elliptic curve equation
+      */
+      const BigInt& get_b() const;
 
       /**
       * Return group base point
       * @result base point
       */
-      const PointGFp& get_base_point() const { return m_base_point; }
+      const PointGFp& get_base_point() const;
 
       /**
       * Return the order of the base point
       * @result order of the base point
       */
-      const BigInt& get_order() const { return m_order; }
+      const BigInt& get_order() const;
+
+      /**
+      * Return the OID of these domain parameters
+      * @result the OID as a string
+      */
+      std::string BOTAN_DEPRECATED("Use get_curve_oid") get_oid() const { return get_curve_oid().as_string(); }
+
+      /**
+      * Return the OID of these domain parameters
+      * @result the OID
+      */
+      const OID& get_curve_oid() const;
 
       /**
       * Return the cofactor
       * @result the cofactor
       */
-      const BigInt& get_cofactor() const { return m_cofactor; }
+      const BigInt& get_cofactor() const;
 
-      bool initialized() const { return !m_base_point.is_zero(); }
+      /**
+      * Return a point on this curve with the affine values x, y
+      */
+      PointGFp point(const BigInt& x, const BigInt& y) const;
 
       /**
-      * Return the OID of these domain parameters
-      * @result the OID
+      * Return the zero (or infinite) point on this curve
       */
-      std::string get_oid() const { return m_oid; }
-      
+      PointGFp zero_point() const;
+
+      PointGFp OS2ECP(const uint8_t bits[], size_t len) const;
+
+      template<typename Alloc>
+         PointGFp OS2ECP(const std::vector<uint8_t, Alloc>& vec) const
+         {
+         return this->OS2ECP(vec.data(), vec.size());
+         }
+
+      bool initialized() const { return (m_data != nullptr); }
+
       /**
        * Verify EC_Group domain
        * @returns true if group is valid. false otherwise
        */
       bool verify_group(RandomNumberGenerator& rng,
-                            bool strong = false) const;
-      
+                        bool strong = false) const;
+
       bool operator==(const EC_Group& other) const
          {
          return ((get_curve() == other.get_curve()) &&
@@ -140,11 +186,11 @@ class BOTAN_PUBLIC_API(2,0) EC_Group final
       */
       static const std::set<std::string>& known_named_groups();
 
+      static void add_named_group(const std::string& name, const OID& oid, const EC_Group& group);
+
    private:
-      CurveGFp m_curve;
-      PointGFp m_base_point;
-      BigInt m_order, m_cofactor;
-      std::string m_oid;
+      const EC_Group_Data& data() const;
+      std::shared_ptr<EC_Group_Data> m_data;
    };
 
 inline bool operator!=(const EC_Group& lhs,
diff --git a/src/lib/pubkey/ecc_key/ecc_key.cpp b/src/lib/pubkey/ecc_key/ecc_key.cpp
index 34062c362..17b6e6484 100644
--- a/src/lib/pubkey/ecc_key/ecc_key.cpp
+++ b/src/lib/pubkey/ecc_key/ecc_key.cpp
@@ -19,7 +19,7 @@ namespace Botan {
 
 size_t EC_PublicKey::key_length() const
    {
-   return domain().get_curve().get_p().bits();
+   return domain().get_p_bits();
    }
 
 size_t EC_PublicKey::estimated_strength() const
@@ -31,20 +31,23 @@ EC_PublicKey::EC_PublicKey(const EC_Group& dom_par,
                            const PointGFp& pub_point) :
    m_domain_params(dom_par), m_public_key(pub_point)
    {
-   if (!dom_par.get_oid().empty())
+   if (!dom_par.get_curve_oid().empty())
       m_domain_encoding = EC_DOMPAR_ENC_OID;
    else
       m_domain_encoding = EC_DOMPAR_ENC_EXPLICIT;
+
+#if 0
    if(domain().get_curve() != public_point().get_curve())
       throw Invalid_Argument("EC_PublicKey: curve mismatch in constructor");
+#endif
    }
 
 EC_PublicKey::EC_PublicKey(const AlgorithmIdentifier& alg_id,
                            const std::vector<uint8_t>& key_bits) :
    m_domain_params{EC_Group(alg_id.get_parameters())},
-   m_public_key{OS2ECP(key_bits, domain().get_curve())}
+   m_public_key{domain().OS2ECP(key_bits)}
    {
-   if (!domain().get_oid().empty())
+   if (!domain().get_curve_oid().empty())
       m_domain_encoding = EC_DOMPAR_ENC_OID;
    else
       m_domain_encoding = EC_DOMPAR_ENC_EXPLICIT;
@@ -101,7 +104,7 @@ void EC_PublicKey::set_parameter_encoding(EC_Group_Encoding form)
       form != EC_DOMPAR_ENC_OID)
       throw Invalid_Argument("Invalid encoding form for EC-key object specified");
 
-   if((form == EC_DOMPAR_ENC_OID) && (m_domain_params.get_oid() == ""))
+   if((form == EC_DOMPAR_ENC_OID) && (m_domain_params.get_curve_oid().empty()))
       throw Invalid_Argument("Invalid encoding form OID specified for "
                              "EC-key object whose corresponding domain "
                              "parameters are without oid");
@@ -126,7 +129,7 @@ EC_PrivateKey::EC_PrivateKey(RandomNumberGenerator& rng,
                              bool with_modular_inverse)
    {
    m_domain_params = ec_group;
-   if (!ec_group.get_oid().empty())
+   if (!ec_group.get_curve_oid().empty())
       m_domain_encoding = EC_DOMPAR_ENC_OID;
    else
       m_domain_encoding = EC_DOMPAR_ENC_EXPLICIT;
@@ -165,7 +168,7 @@ EC_PrivateKey::EC_PrivateKey(const AlgorithmIdentifier& alg_id,
    m_domain_params = EC_Group(alg_id.get_parameters());
    m_domain_encoding = EC_DOMPAR_ENC_EXPLICIT;
 
-   if (!domain().get_oid().empty())
+   if (!domain().get_curve_oid().empty())
       m_domain_encoding = EC_DOMPAR_ENC_OID;
    else
       m_domain_encoding = EC_DOMPAR_ENC_EXPLICIT;
@@ -191,7 +194,7 @@ EC_PrivateKey::EC_PrivateKey(const AlgorithmIdentifier& alg_id,
       }
    else
       {
-      m_public_key = OS2ECP(public_key_bits, domain().get_curve());
+      m_public_key = domain().OS2ECP(public_key_bits);
       // OS2ECP verifies that the point is on the curve
       }
    }
diff --git a/src/lib/pubkey/ecdh/ecdh.cpp b/src/lib/pubkey/ecdh/ecdh.cpp
index c05f22d1b..1850696e1 100644
--- a/src/lib/pubkey/ecdh/ecdh.cpp
+++ b/src/lib/pubkey/ecdh/ecdh.cpp
@@ -28,27 +28,23 @@ class ECDH_KA_Operation final : public PK_Ops::Key_Agreement_with_KDF
 
       ECDH_KA_Operation(const ECDH_PrivateKey& key, const std::string& kdf, RandomNumberGenerator& rng) :
          PK_Ops::Key_Agreement_with_KDF(kdf),
-         m_curve(key.domain().get_curve()),
-         m_cofactor(key.domain().get_cofactor()),
-         m_order(key.domain().get_order()),
+         m_domain(key.domain()),
          m_rng(rng)
          {
-         m_l_times_priv = inverse_mod(m_cofactor, m_order) * key.private_value();
+         m_l_times_priv = inverse_mod(m_domain.get_cofactor(), m_domain.get_order()) * key.private_value();
          }
 
       secure_vector<uint8_t> raw_agree(const uint8_t w[], size_t w_len) override
          {
-         PointGFp point = OS2ECP(w, w_len, m_curve);
-         PointGFp S = m_cofactor * point;
-         Blinded_Point_Multiply blinder(S, m_order);
+         PointGFp point = m_domain.OS2ECP(w, w_len);
+         PointGFp S = m_domain.get_cofactor() * point;
+         Blinded_Point_Multiply blinder(S, m_domain.get_order());
          S = blinder.blinded_multiply(m_l_times_priv, m_rng);
          BOTAN_ASSERT(S.on_the_curve(), "ECDH agreed value was on the curve");
-         return BigInt::encode_1363(S.get_affine_x(), m_curve.get_p().bytes());
+         return BigInt::encode_1363(S.get_affine_x(), m_domain.get_p_bytes());
          }
    private:
-      const CurveGFp& m_curve;
-      const BigInt& m_cofactor;
-      const BigInt& m_order;
+      const EC_Group& m_domain;
       BigInt m_l_times_priv;
       RandomNumberGenerator& m_rng;
 
diff --git a/src/lib/pubkey/ecies/ecies.cpp b/src/lib/pubkey/ecies/ecies.cpp
index e2d574dcf..cd09b4c52 100644
--- a/src/lib/pubkey/ecies/ecies.cpp
+++ b/src/lib/pubkey/ecies/ecies.cpp
@@ -66,12 +66,11 @@ class ECIES_ECDH_KA_Operation final : public PK_Ops::Key_Agreement_with_KDF
 
       secure_vector<uint8_t> raw_agree(const uint8_t w[], size_t w_len) override
          {
-         const CurveGFp& curve = m_key.domain().get_curve();
-         PointGFp point = OS2ECP(w, w_len, curve);
+         PointGFp point = m_key.domain().OS2ECP(w, w_len);
          Blinded_Point_Multiply blinder(point, m_key.domain().get_order());
          PointGFp S = blinder.blinded_multiply(m_key.private_value(), m_rng);
          BOTAN_ASSERT(S.on_the_curve(), "ECDH agreed value was on the curve");
-         return BigInt::encode_1363(S.get_affine_x(), curve.get_p().bytes());
+         return BigInt::encode_1363(S.get_affine_x(), m_key.domain().get_p_bytes());
          }
 
    private:
@@ -241,7 +240,7 @@ ECIES_Encryptor::ECIES_Encryptor(const PK_Key_Agreement_Key& private_key,
       {
       // ISO 18033: step d 
       // convert only if necessary; m_eph_public_key_bin has been initialized with the uncompressed format
-      m_eph_public_key_bin = unlock(EC2OSP(OS2ECP(m_eph_public_key_bin, m_params.domain().get_curve()),
+      m_eph_public_key_bin = unlock(EC2OSP(m_params.domain().OS2ECP(m_eph_public_key_bin),
                                            static_cast<uint8_t>(ecies_params.compression_type())));
       }
    }
@@ -311,7 +310,7 @@ ECIES_Decryptor::ECIES_Decryptor(const PK_Key_Agreement_Key& key,
    // ISO 18033: "If v > 1 and CheckMode = 0, then we must have gcd(u, v) = 1." (v = index, u= order)
    if(!ecies_params.check_mode())
       {
-      Botan::BigInt cofactor = m_params.domain().get_cofactor();
+      const Botan::BigInt& cofactor = m_params.domain().get_cofactor();
       if(cofactor > 1 && Botan::gcd(cofactor, m_params.domain().get_order()) != 1)
          {
          throw Invalid_Argument("ECIES: gcd of cofactor and order must be 1 if check_mode is 0");
@@ -324,7 +323,7 @@ ECIES_Decryptor::ECIES_Decryptor(const PK_Key_Agreement_Key& key,
 */
 secure_vector<uint8_t> ECIES_Decryptor::do_decrypt(uint8_t& valid_mask, const uint8_t in[], size_t in_len) const
    {
-   size_t point_size = m_params.domain().get_curve().get_p().bytes();
+   size_t point_size = m_params.domain().get_p_bytes();
    if(m_params.compression_type() != PointGFp::COMPRESSED)
       {
       point_size *= 2;		// uncompressed and hybrid contains x AND y
@@ -345,7 +344,7 @@ secure_vector<uint8_t> ECIES_Decryptor::do_decrypt(uint8_t& valid_mask, const ui
    const std::vector<uint8_t> mac_data(in + in_len - mac->output_length(), in + in_len);
 
    // ISO 18033: step a
-   PointGFp other_public_key = OS2ECP(other_public_key_bin, m_params.domain().get_curve());
+   PointGFp other_public_key = m_params.domain().OS2ECP(other_public_key_bin);
 
    // ISO 18033: step b
    if(m_params.check_mode() && !other_public_key.on_the_curve())
diff --git a/src/lib/pubkey/gost_3410/gost_3410.cpp b/src/lib/pubkey/gost_3410/gost_3410.cpp
index acd127a2d..f005a349b 100644
--- a/src/lib/pubkey/gost_3410/gost_3410.cpp
+++ b/src/lib/pubkey/gost_3410/gost_3410.cpp
@@ -41,7 +41,7 @@ AlgorithmIdentifier GOST_3410_PublicKey::algorithm_identifier() const
    {
    std::vector<uint8_t> params =
       DER_Encoder().start_cons(SEQUENCE)
-         .encode(OID(domain().get_oid()))
+         .encode(domain().get_curve_oid())
          .end_cons()
       .get_contents_unlocked();
 
@@ -73,7 +73,7 @@ GOST_3410_PublicKey::GOST_3410_PublicKey(const AlgorithmIdentifier& alg_id,
    BigInt x(bits.data(), part_size);
    BigInt y(&bits[part_size], part_size);
 
-   m_public_key = PointGFp(domain().get_curve(), x, y);
+   m_public_key = domain().point(x, y);
 
    BOTAN_ASSERT(m_public_key.on_the_curve(),
                 "Loaded GOST 34.10 public key is on the curve");
diff --git a/src/lib/pubkey/sm2/sm2.cpp b/src/lib/pubkey/sm2/sm2.cpp
index 28f455ba3..652985ec9 100644
--- a/src/lib/pubkey/sm2/sm2.cpp
+++ b/src/lib/pubkey/sm2/sm2.cpp
@@ -54,10 +54,10 @@ std::vector<uint8_t> sm2_compute_za(HashFunction& hash,
    hash.update(get_byte(1, uid_len));
    hash.update(user_id);
 
-   const size_t p_bytes = domain.get_curve().get_p().bytes();
+   const size_t p_bytes = domain.get_p_bytes();
 
-   hash.update(BigInt::encode_1363(domain.get_curve().get_a(), p_bytes));
-   hash.update(BigInt::encode_1363(domain.get_curve().get_b(), p_bytes));
+   hash.update(BigInt::encode_1363(domain.get_a(), p_bytes));
+   hash.update(BigInt::encode_1363(domain.get_b(), p_bytes));
    hash.update(BigInt::encode_1363(domain.get_base_point().get_affine_x(), p_bytes));
    hash.update(BigInt::encode_1363(domain.get_base_point().get_affine_y(), p_bytes));
    hash.update(BigInt::encode_1363(pubkey.get_affine_x(), p_bytes));
diff --git a/src/lib/pubkey/sm2/sm2_enc.cpp b/src/lib/pubkey/sm2/sm2_enc.cpp
index b697daf1e..9ba278060 100644
--- a/src/lib/pubkey/sm2/sm2_enc.cpp
+++ b/src/lib/pubkey/sm2/sm2_enc.cpp
@@ -46,7 +46,7 @@ class SM2_Encryption_Operation final : public PK_Ops::Encryption
    {
    public:
       SM2_Encryption_Operation(const SM2_Encryption_PublicKey& key, const std::string& kdf_hash) :
-         m_p_bytes(key.domain().get_curve().get_p().bytes()),
+         m_p_bytes(key.domain().get_p_bytes()),
          m_order(key.domain().get_order()),
          m_base_point(key.domain().get_base_point(), m_order),
          m_public_point(key.public_point(), m_order),
@@ -135,7 +135,7 @@ class SM2_Decryption_Operation final : public PK_Ops::Decryption
                                      size_t ciphertext_len) override
          {
          const BigInt& cofactor = m_key.domain().get_cofactor();
-         const size_t p_bytes = m_key.domain().get_curve().get_p().bytes();
+         const size_t p_bytes = m_key.domain().get_p_bytes();
 
          valid_mask = 0x00;
 
@@ -160,7 +160,7 @@ class SM2_Decryption_Operation final : public PK_Ops::Decryption
             .end_cons()
             .verify_end();
 
-         const PointGFp C1(m_key.domain().get_curve(), x1, y1);
+         const PointGFp C1 = m_key.domain().point(x1, y1);
          if(!C1.on_the_curve())
             return secure_vector<uint8_t>();
 
diff --git a/src/lib/tls/tls_callbacks.cpp b/src/lib/tls/tls_callbacks.cpp
index 7a64291c8..b3b1b79bb 100644
--- a/src/lib/tls/tls_callbacks.cpp
+++ b/src/lib/tls/tls_callbacks.cpp
@@ -164,7 +164,7 @@ std::pair<secure_vector<uint8_t>, std::vector<uint8_t>> TLS::Callbacks::tls_ecdh
    else
       {
       EC_Group group(OIDS::lookup(curve_name));
-      ECDH_PublicKey peer_key(group, OS2ECP(peer_public_value, group.get_curve()));
+      ECDH_PublicKey peer_key(group, group.OS2ECP(peer_public_value));
       policy.check_peer_key_acceptable(peer_key);
       ECDH_PrivateKey priv_key(rng, group);
       PK_Key_Agreement ka(priv_key, rng, "Raw");
diff --git a/src/tests/test_ecdsa.cpp b/src/tests/test_ecdsa.cpp
index 36ca72942..2105250cb 100644
--- a/src/tests/test_ecdsa.cpp
+++ b/src/tests/test_ecdsa.cpp
@@ -104,7 +104,7 @@ class ECDSA_Invalid_Key_Tests final : public Text_Based_Test
 
          try
             {
-            public_point.reset(new Botan::PointGFp(group.get_curve(), x, y));
+            public_point.reset(new Botan::PointGFp(group.point(x, y)));
             }
          catch(Botan::Invalid_Argument&)
             {
diff --git a/src/tests/test_gost_3410.cpp b/src/tests/test_gost_3410.cpp
index a1443a7ae..fe9e91f58 100644
--- a/src/tests/test_gost_3410.cpp
+++ b/src/tests/test_gost_3410.cpp
@@ -30,7 +30,7 @@ class GOST_3410_2001_Verification_Tests final : public PK_Signature_Verification
          {
          const std::string group_id = get_req_str(vars, "Group");
          Botan::EC_Group group(Botan::OIDS::lookup(group_id));
-         const Botan::PointGFp public_point = Botan::OS2ECP(get_req_bin(vars, "Pubkey"), group.get_curve());
+         const Botan::PointGFp public_point = group.OS2ECP(get_req_bin(vars, "Pubkey"));
 
          std::unique_ptr<Botan::Public_Key> key(new Botan::GOST_3410_PublicKey(group, public_point));
          return key;
diff --git a/src/tests/unit_ecc.cpp b/src/tests/unit_ecc.cpp
index b9355e6f0..f1eb3dc99 100644
--- a/src/tests/unit_ecc.cpp
+++ b/src/tests/unit_ecc.cpp
@@ -83,9 +83,9 @@ Botan::BigInt test_integer(Botan::RandomNumberGenerator& rng, size_t bits, BigIn
    }
 
 Botan::PointGFp create_random_point(Botan::RandomNumberGenerator& rng,
-                                    const Botan::CurveGFp& curve)
+                                    const Botan::EC_Group& group)
    {
-   const Botan::BigInt& p = curve.get_p();
+   const Botan::BigInt& p = group.get_p();
 
    Botan::Modular_Reducer mod_p(p);
 
@@ -93,14 +93,14 @@ Botan::PointGFp create_random_point(Botan::RandomNumberGenerator& rng,
       {
       const Botan::BigInt x = Botan::BigInt::random_integer(rng, 1, p);
       const Botan::BigInt x3 = mod_p.multiply(x, mod_p.square(x));
-      const Botan::BigInt ax = mod_p.multiply(curve.get_a(), x);
-      const Botan::BigInt y = mod_p.reduce(x3 + ax + curve.get_b());
+      const Botan::BigInt ax = mod_p.multiply(group.get_a(), x);
+      const Botan::BigInt y = mod_p.reduce(x3 + ax + group.get_b());
       const Botan::BigInt sqrt_y = ressol(y, p);
 
       if(sqrt_y > 1)
          {
          BOTAN_ASSERT_EQUAL(mod_p.square(sqrt_y), y, "Square root is correct");
-         Botan::PointGFp point(curve, x, sqrt_y);
+         Botan::PointGFp point = group.point(x, sqrt_y);
          return point;
          }
       }
@@ -276,7 +276,7 @@ Test::Result test_groups()
    for(auto const& group_name : named_groups)
       {
       const Botan::EC_Group group(group_name);
-      result.confirm("EC_Group is known", !group.get_oid().empty());
+      result.confirm("EC_Group is known", !group.get_curve_oid().empty());
       }
    return result;
    }
@@ -290,10 +290,9 @@ Test::Result test_coordinates()
 
    // precalculation
    const Botan::EC_Group secp160r1(Botan::OIDS::lookup("secp160r1"));
-   const Botan::CurveGFp& curve = secp160r1.get_curve();
    const Botan::PointGFp& p_G = secp160r1.get_base_point();
 
-   const Botan::PointGFp point_exp(curve, exp_affine_x, exp_affine_y);
+   const Botan::PointGFp point_exp = secp160r1.point(exp_affine_x, exp_affine_y);
    result.confirm("Point is on the curve", point_exp.on_the_curve());
 
    const Botan::PointGFp p1 = p_G * 2;
@@ -372,11 +371,9 @@ Test::Result test_zeropoint()
    Test::Result result("ECC Unit");
 
    Botan::EC_Group secp160r1(Botan::OIDS::lookup("secp160r1"));
-   const Botan::CurveGFp& curve = secp160r1.get_curve();
 
-   Botan::PointGFp p1(curve,
-                      Botan::BigInt("16984103820118642236896513183038186009872590470"),
-                      Botan::BigInt("1373093393927139016463695321221277758035357890939"));
+   Botan::PointGFp p1 = secp160r1.point(Botan::BigInt("16984103820118642236896513183038186009872590470"),
+                                        Botan::BigInt("1373093393927139016463695321221277758035357890939"));
 
    result.confirm("point is on the curve", p1.on_the_curve());
 
@@ -392,19 +389,18 @@ Test::Result test_zeropoint_enc_dec()
    Test::Result result("ECC Unit");
 
    Botan::EC_Group secp160r1(Botan::OIDS::lookup("secp160r1"));
-   const Botan::CurveGFp& curve = secp160r1.get_curve();
 
-   Botan::PointGFp p(curve);
+   Botan::PointGFp p = secp160r1.zero_point();
    result.confirm("zero point is zero", p.is_zero());
 
    std::vector<uint8_t> sv_p = unlock(EC2OSP(p, Botan::PointGFp::UNCOMPRESSED));
-   result.test_eq("encoded/decode rt works", OS2ECP(sv_p, curve), p);
+   result.test_eq("encoded/decode rt works", secp160r1.OS2ECP(sv_p), p);
 
    sv_p = unlock(EC2OSP(p, Botan::PointGFp::COMPRESSED));
-   result.test_eq("encoded/decode compressed rt works", OS2ECP(sv_p, curve), p);
+   result.test_eq("encoded/decode compressed rt works", secp160r1.OS2ECP(sv_p), p);
 
    sv_p = unlock(EC2OSP(p, Botan::PointGFp::HYBRID));
-   result.test_eq("encoded/decode hybrid rt works", OS2ECP(sv_p, curve), p);
+   result.test_eq("encoded/decode hybrid rt works", secp160r1.OS2ECP(sv_p), p);
    return result;
    }
 
@@ -413,16 +409,14 @@ Test::Result test_calc_with_zeropoint()
    Test::Result result("ECC Unit");
 
    Botan::EC_Group secp160r1(Botan::OIDS::lookup("secp160r1"));
-   const Botan::CurveGFp& curve = secp160r1.get_curve();
 
-   Botan::PointGFp p(curve,
-                     Botan::BigInt("16984103820118642236896513183038186009872590470"),
-                     Botan::BigInt("1373093393927139016463695321221277758035357890939"));
+   Botan::PointGFp p = secp160r1.point(Botan::BigInt("16984103820118642236896513183038186009872590470"),
+                                       Botan::BigInt("1373093393927139016463695321221277758035357890939"));
 
    result.confirm("point is on the curve", p.on_the_curve());
    result.confirm("point is not zero", !p.is_zero());
 
-   Botan::PointGFp zero(curve);
+   Botan::PointGFp zero = secp160r1.zero_point();
    result.confirm("zero point is zero", zero.is_zero());
 
    Botan::PointGFp res = p + zero;
@@ -442,7 +436,6 @@ Test::Result test_add_point()
 
    // precalculation
    Botan::EC_Group secp160r1(Botan::OIDS::lookup("secp160r1"));
-   const Botan::CurveGFp& curve = secp160r1.get_curve();
    const Botan::PointGFp& p_G = secp160r1.get_base_point();
 
    Botan::PointGFp p0 = p_G;
@@ -450,9 +443,8 @@ Test::Result test_add_point()
 
    p1 += p0;
 
-   Botan::PointGFp expected(curve,
-                            Botan::BigInt("704859595002530890444080436569091156047721708633"),
-                            Botan::BigInt("1147993098458695153857594941635310323215433166682"));
+   Botan::PointGFp expected = secp160r1.point(Botan::BigInt("704859595002530890444080436569091156047721708633"),
+                                              Botan::BigInt("1147993098458695153857594941635310323215433166682"));
 
    result.test_eq("point addition", p1, expected);
    return result;
@@ -463,7 +455,6 @@ Test::Result test_sub_point()
    Test::Result result("ECC Unit");
 
    Botan::EC_Group secp160r1(Botan::OIDS::lookup("secp160r1"));
-   const Botan::CurveGFp& curve = secp160r1.get_curve();
    const Botan::PointGFp& p_G = secp160r1.get_base_point();
 
    Botan::PointGFp p0 = p_G;
@@ -471,9 +462,8 @@ Test::Result test_sub_point()
 
    p1 -= p0;
 
-   Botan::PointGFp expected(curve,
-                            Botan::BigInt("425826231723888350446541592701409065913635568770"),
-                            Botan::BigInt("203520114162904107873991457957346892027982641970"));
+   Botan::PointGFp expected = secp160r1.point(Botan::BigInt("425826231723888350446541592701409065913635568770"),
+                                              Botan::BigInt("203520114162904107873991457957346892027982641970"));
 
    result.test_eq("point subtraction", p1, expected);
    return result;
@@ -484,7 +474,6 @@ Test::Result test_mult_point()
    Test::Result result("ECC Unit");
 
    Botan::EC_Group secp160r1(Botan::OIDS::lookup("secp160r1"));
-   const Botan::CurveGFp& curve = secp160r1.get_curve();
    const Botan::PointGFp& p_G = secp160r1.get_base_point();
 
    Botan::PointGFp p0 = p_G;
@@ -494,7 +483,7 @@ Test::Result test_mult_point()
 
    const Botan::BigInt exp_mult_x(std::string("967697346845926834906555988570157345422864716250"));
    const Botan::BigInt exp_mult_y(std::string("512319768365374654866290830075237814703869061656"));
-   Botan::PointGFp expected(curve, exp_mult_x, exp_mult_y);
+   Botan::PointGFp expected = secp160r1.point(exp_mult_x, exp_mult_y);
 
    result.test_eq("point mult", p1, expected);
    return result;
@@ -506,7 +495,6 @@ Test::Result test_basic_operations()
 
    // precalculation
    Botan::EC_Group secp160r1(Botan::OIDS::lookup("secp160r1"));
-   const Botan::CurveGFp& curve = secp160r1.get_curve();
    const Botan::PointGFp& p_G = secp160r1.get_base_point();
 
    const Botan::PointGFp p0 = p_G;
@@ -516,16 +504,14 @@ Test::Result test_basic_operations()
    result.test_eq("p1 affine y", p1.get_affine_y(), Botan::BigInt("1373093393927139016463695321221277758035357890939"));
 
    const Botan::PointGFp simplePlus = p1 + p0;
-   const Botan::PointGFp exp_simplePlus(curve,
-                                        Botan::BigInt("704859595002530890444080436569091156047721708633"),
-                                        Botan::BigInt("1147993098458695153857594941635310323215433166682"));
+   const Botan::PointGFp exp_simplePlus = secp160r1.point(Botan::BigInt("704859595002530890444080436569091156047721708633"),
+                                                          Botan::BigInt("1147993098458695153857594941635310323215433166682"));
 
    result.test_eq("point addition", simplePlus, exp_simplePlus);
 
    const Botan::PointGFp simpleMinus = p1 - p0;
-   const Botan::PointGFp exp_simpleMinus(curve,
-                                         Botan::BigInt("425826231723888350446541592701409065913635568770"),
-                                         Botan::BigInt("203520114162904107873991457957346892027982641970"));
+   const Botan::PointGFp exp_simpleMinus=  secp160r1.point(Botan::BigInt("425826231723888350446541592701409065913635568770"),
+                                                           Botan::BigInt("203520114162904107873991457957346892027982641970"));
 
    result.test_eq("point subtraction", simpleMinus, exp_simpleMinus);
 
@@ -545,11 +531,10 @@ Test::Result test_enc_dec_compressed_160()
 
    // Test for compressed conversion (02/03) 160bit
    Botan::EC_Group secp160r1(Botan::OIDS::lookup("secp160r1"));
-   const Botan::CurveGFp& curve = secp160r1.get_curve();
 
    const std::vector<uint8_t> G_comp = Botan::hex_decode("024A96B5688EF573284664698968C38BB913CBFC82");
 
-   const Botan::PointGFp p = Botan::OS2ECP(G_comp, curve);
+   const Botan::PointGFp p = secp160r1.OS2ECP(G_comp);
 
    std::vector<uint8_t> sv_result = unlock(Botan::EC2OSP(p, Botan::PointGFp::COMPRESSED));
 
@@ -696,7 +681,7 @@ Test::Result test_gfp_store_restore()
    Botan::PointGFp p = dom_pars.get_base_point();
 
    std::vector<uint8_t> sv_mes = unlock(EC2OSP(p, Botan::PointGFp::COMPRESSED));
-   Botan::PointGFp new_p = Botan::OS2ECP(sv_mes, dom_pars.get_curve());
+   Botan::PointGFp new_p = dom_pars.OS2ECP(sv_mes);
 
    result.test_eq("original and restored points are same", p, new_p);
    return result;
@@ -733,11 +718,9 @@ Test::Result test_more_zeropoint()
    // by Falko
 
    Botan::EC_Group secp160r1(Botan::OIDS::lookup("secp160r1"));
-   const Botan::CurveGFp& curve = secp160r1.get_curve();
 
-   Botan::PointGFp p1(curve,
-                      Botan::BigInt("16984103820118642236896513183038186009872590470"),
-                      Botan::BigInt("1373093393927139016463695321221277758035357890939"));
+   Botan::PointGFp p1 = secp160r1.point(Botan::BigInt("16984103820118642236896513183038186009872590470"),
+                                        Botan::BigInt("1373093393927139016463695321221277758035357890939"));
 
    result.confirm("point is on the curve", p1.on_the_curve());
    Botan::PointGFp minus_p1 = -p1;
@@ -747,12 +730,12 @@ Test::Result test_more_zeropoint()
    result.confirm("point is zero", shouldBeZero.is_zero());
 
    Botan::BigInt y1 = p1.get_affine_y();
-   y1 = curve.get_p() - y1;
+   y1 = secp160r1.get_p() - y1;
 
    result.test_eq("minus point x", minus_p1.get_affine_x(), p1.get_affine_x());
    result.test_eq("minus point y", minus_p1.get_affine_y(), y1);
 
-   Botan::PointGFp zero(curve);
+   Botan::PointGFp zero = secp160r1.zero_point();
    result.confirm("zero point is on the curve", zero.on_the_curve());
    result.test_eq("addition of zero does nothing", p1, p1 + zero);
 
@@ -778,8 +761,8 @@ Test::Result test_point_swap()
 
    Botan::EC_Group dom_pars(Botan::OID("1.3.132.0.8"));
 
-   Botan::PointGFp a(create_random_point(Test::rng(), dom_pars.get_curve()));
-   Botan::PointGFp b(create_random_point(Test::rng(), dom_pars.get_curve()));
+   Botan::PointGFp a(create_random_point(Test::rng(), dom_pars));
+   Botan::PointGFp b(create_random_point(Test::rng(), dom_pars));
    b *= Botan::BigInt(Test::rng(), 20);
 
    Botan::PointGFp c(a);
@@ -805,7 +788,7 @@ Test::Result test_mult_sec_mass()
       {
       try
          {
-         Botan::PointGFp a(create_random_point(Test::rng(), dom_pars.get_curve()));
+         Botan::PointGFp a(create_random_point(Test::rng(), dom_pars));
          Botan::BigInt scal(Botan::BigInt(Test::rng(), 40));
          Botan::PointGFp b = a * scal;
          Botan::PointGFp c(a);
@@ -822,23 +805,6 @@ Test::Result test_mult_sec_mass()
    return result;
    }
 
-Test::Result test_curve_cp_ctor()
-   {
-   Test::Result result("ECC Unit");
-
-   try
-      {
-      Botan::EC_Group dom_pars(Botan::OID("1.3.132.0.8"));
-      Botan::CurveGFp curve(dom_pars.get_curve());
-      }
-   catch(std::exception& e)
-      {
-      result.test_failure("curve_cp_ctor", e.what());
-      }
-
-   return result;
-   }
-
 class ECC_Unit_Tests final : public Test
    {
    public:
@@ -869,7 +835,6 @@ class ECC_Unit_Tests final : public Test
          results.push_back(test_mult_by_order());
          results.push_back(test_point_swap());
          results.push_back(test_mult_sec_mass());
-         results.push_back(test_curve_cp_ctor());
 
          return results;
          }