diff --git a/include/nil/crypto3/algebra/fields/curve25519/base_field.hpp b/include/nil/crypto3/algebra/fields/curve25519/base_field.hpp
index 6bdadd2f..7a2928f1 100644
--- a/include/nil/crypto3/algebra/fields/curve25519/base_field.hpp
+++ b/include/nil/crypto3/algebra/fields/curve25519/base_field.hpp
@@ -59,6 +59,8 @@ namespace nil {
 #else               
                     constexpr static const integral_type modulus =
                         0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed_cppui255;
+                    constexpr static const integral_type group_order_minus_one_half =
+                        0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed_cppui255;
 
                     typedef typename policy_type::modular_backend modular_backend;
                     constexpr static const modular_params_type modulus_params = modulus;
diff --git a/include/nil/crypto3/algebra/fields/curve25519/scalar_field.hpp b/include/nil/crypto3/algebra/fields/curve25519/scalar_field.hpp
index 988975f2..08f7a176 100644
--- a/include/nil/crypto3/algebra/fields/curve25519/scalar_field.hpp
+++ b/include/nil/crypto3/algebra/fields/curve25519/scalar_field.hpp
@@ -60,6 +60,8 @@ namespace nil {
 
                     constexpr static const integral_type modulus =
                         0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed_cppui253;
+                    constexpr static const integral_type group_order_minus_one_half =
+                        0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed_cppui253;
 
                     typedef typename policy_type::modular_backend modular_backend;
                     constexpr static const modular_params_type modulus_params = modulus;
diff --git a/include/nil/crypto3/algebra/fields/pallas/base_field.hpp b/include/nil/crypto3/algebra/fields/pallas/base_field.hpp
index 422a0ec7..82ed0e89 100644
--- a/include/nil/crypto3/algebra/fields/pallas/base_field.hpp
+++ b/include/nil/crypto3/algebra/fields/pallas/base_field.hpp
@@ -57,6 +57,9 @@ namespace nil {
                     constexpr static const integral_type modulus =
 
                         0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001_cppui255;
+                    constexpr static const integral_type group_order_minus_one_half =
+
+                        0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001_cppui255;
 
                     typedef typename policy_type::modular_backend modular_backend;
                     constexpr static const modular_params_type modulus_params = modulus;
diff --git a/include/nil/crypto3/algebra/fields/vesta/base_field.hpp b/include/nil/crypto3/algebra/fields/vesta/base_field.hpp
index 97f4a6de..e53ece28 100755
--- a/include/nil/crypto3/algebra/fields/vesta/base_field.hpp
+++ b/include/nil/crypto3/algebra/fields/vesta/base_field.hpp
@@ -57,6 +57,8 @@ namespace nil {
 
                     constexpr static const integral_type modulus =
                         0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001_cppui255;
+                    constexpr static const integral_type group_order_minus_one_half =
+                        0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001_cppui255;
 
                     typedef typename policy_type::modular_backend modular_backend;
                     constexpr static const modular_params_type modulus_params = modulus;