detail/extension_params/edwards/fp6_2over3.hpp

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//---------------------------------------------------------------------------//
// Copyright (c) 2020-2021 Mikhail Komarov <nemo@nil.foundation>
// Copyright (c) 2020-2021 Nikita Kaskov <nbering@nil.foundation>
//
// MIT License
//
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// in the Software without restriction, including without limitation the rights
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//---------------------------------------------------------------------------//
 
#ifndef CRYPTO3_ALGEBRA_FIELDS_EDWARDS_FP6_2OVER3_EXTENSION_PARAMS_HPP
#define CRYPTO3_ALGEBRA_FIELDS_EDWARDS_FP6_2OVER3_EXTENSION_PARAMS_HPP
 
#include <nil/crypto3/algebra/fields/params.hpp>
#include <nil/crypto3/algebra/fields/edwards/base_field.hpp>
#include <nil/crypto3/algebra/fields/fp3.hpp>
 
#include <nil/crypto3/detail/literals.hpp>
 
namespace nil {
    namespace crypto3 {
        namespace algebra {
            namespace fields {
                namespace detail {
 
                    template<typename BaseField>
                    struct fp6_2over3_extension_params;
 
                    /************************* EDWARDS ***********************************/
 
                    template<std::size_t Version>
                    class fp6_2over3_extension_params<fields::edwards_base_field<Version>>
                        : public params<fields::edwards_base_field<Version>> {
 
                        typedef fields::edwards_base_field<Version> base_field_type;
                        typedef params<base_field_type> policy_type;
 
                    public:
                        typedef typename policy_type::integral_type integral_type;
 
                        constexpr static const integral_type modulus = policy_type::modulus;
 
                        typedef base_field_type non_residue_field_type;
                        typedef typename non_residue_field_type::value_type non_residue_type;
                        typedef fields::fp3<base_field_type> underlying_field_type;
                        typedef typename underlying_field_type::value_type underlying_type;
                        // typedef element_fp3<fp3_extension_params<field_type>> underlying_type;
 
                        /*constexpr static const std::array<non_residue_type, 6> Frobenius_coeffs_c1 =
                           {non_residue_type(0x01),
                            non_residue_type(0xB35E3665A18365954D018902935D4419423F84321BC3E_cppui180),
                            non_residue_type(0xB35E3665A18365954D018902935D4419423F84321BC3D_cppui180),
                            non_residue_type(0x40D5FC9D2A395B138B924ED6342D41B6EB690B80000000_cppui183),
                            non_residue_type(0x35A01936D02124BA36C236460AF76D755745133CDE43C3_cppui182),
                            non_residue_type(0x35A01936D02124BA36C236460AF76D755745133CDE43C4_cppui182)};*/
 
                        constexpr static const std::array<integral_type, 6> Frobenius_coeffs_c1 = {
                            0x01,
                            0xB35E3665A18365954D018902935D4419423F84321BC3E_cppui180,
                            0xB35E3665A18365954D018902935D4419423F84321BC3D_cppui180,
                            0x40D5FC9D2A395B138B924ED6342D41B6EB690B80000000_cppui183,
                            0x35A01936D02124BA36C236460AF76D755745133CDE43C3_cppui182,
                            0x35A01936D02124BA36C236460AF76D755745133CDE43C4_cppui182};
 
                        constexpr static const non_residue_type non_residue = non_residue_type(0x3D);
                    };
 
                    template<std::size_t Version>
                    constexpr typename fp6_2over3_extension_params<edwards_base_field<Version>>::non_residue_type const
                        fp6_2over3_extension_params<edwards_base_field<Version>>::non_residue;
 
                    template<std::size_t Version>
                    constexpr typename fp6_2over3_extension_params<edwards_base_field<Version>>::integral_type const
                        fp6_2over3_extension_params<edwards_base_field<Version>>::modulus;
 
                    template<std::size_t Version>
                    constexpr std::array<
                        typename fp6_2over3_extension_params<edwards_base_field<Version>>::integral_type, 6> const
                        fp6_2over3_extension_params<edwards_base_field<Version>>::Frobenius_coeffs_c1;
                }    // namespace detail
            }        // namespace fields
        }            // namespace algebra
    }                // namespace crypto3
}    // namespace nil
 
#endif    // CRYPTO3_ALGEBRA_FIELDS_EDWARDS_FP6_2OVER3_EXTENSION_PARAMS_HPP