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+/*
+* ECIES
+* (C) 2016 Philipp Weber
+* (C) 2016 Daniel Neus, Rohde & Schwarz Cybersecurity
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#include <botan/ecies.h>
+#include <botan/numthry.h>
+#include <botan/cipher_mode.h>
+#include <botan/mac.h>
+#include <botan/internal/pk_ops_impl.h>
+
+namespace Botan {
+
+namespace {
+
+/**
+* Private key type for ECIES_ECDH_KA_Operation
+*/
+class ECIES_PrivateKey final : public EC_PrivateKey, public PK_Key_Agreement_Key
+ {
+ public:
+ explicit ECIES_PrivateKey(const ECDH_PrivateKey& private_key) :
+ EC_PublicKey(private_key),
+ EC_PrivateKey(private_key),
+ PK_Key_Agreement_Key(),
+ m_key(private_key)
+ {
+ }
+
+ std::vector<uint8_t> public_value() const override
+ {
+ return m_key.public_value();
+ }
+
+ std::string algo_name() const override
+ {
+ return "ECIES";
+ }
+
+ std::unique_ptr<PK_Ops::Key_Agreement>
+ create_key_agreement_op(RandomNumberGenerator& rng,
+ const std::string& params,
+ const std::string& provider) const override;
+
+ private:
+ ECDH_PrivateKey m_key;
+ };
+
+/**
+* Implements ECDH key agreement without using the cofactor mode
+*/
+class ECIES_ECDH_KA_Operation final : public PK_Ops::Key_Agreement_with_KDF
+ {
+ public:
+ ECIES_ECDH_KA_Operation(const ECIES_PrivateKey& private_key, RandomNumberGenerator& rng) :
+ PK_Ops::Key_Agreement_with_KDF("Raw"),
+ m_key(private_key),
+ m_rng(rng)
+ {
+ }
+
+ size_t agreed_value_size() const override { return m_key.domain().get_p_bytes(); }
+
+ secure_vector<uint8_t> raw_agree(const uint8_t w[], size_t w_len) override
+ {
+ const EC_Group& group = m_key.domain();
+
+ PointGFp input_point = group.OS2ECP(w, w_len);
+ input_point.randomize_repr(m_rng);
+
+ const PointGFp S = group.blinded_var_point_multiply(
+ input_point, m_key.private_value(), m_rng, m_ws);
+
+ if(S.on_the_curve() == false)
+ throw Internal_Error("ECDH agreed value was not on the curve");
+ return BigInt::encode_1363(S.get_affine_x(), group.get_p_bytes());
+ }
+
+ private:
+ ECIES_PrivateKey m_key;
+ RandomNumberGenerator& m_rng;
+ std::vector<BigInt> m_ws;
+ };
+
+std::unique_ptr<PK_Ops::Key_Agreement>
+ECIES_PrivateKey::create_key_agreement_op(RandomNumberGenerator& rng,
+ const std::string& /*params*/,
+ const std::string& /*provider*/) const
+ {
+ return std::unique_ptr<PK_Ops::Key_Agreement>(new ECIES_ECDH_KA_Operation(*this, rng));
+ }
+
+/**
+* Creates a PK_Key_Agreement instance for the given key and ecies_params
+* Returns either ECIES_ECDH_KA_Operation or the default implementation for the given key,
+* depending on the key and ecies_params
+* @param private_key the private key used for the key agreement
+* @param ecies_params settings for ecies
+* @param for_encryption disable cofactor mode if the secret will be used for encryption
+* (according to ISO 18033 cofactor mode is only used during decryption)
+*/
+PK_Key_Agreement create_key_agreement(const PK_Key_Agreement_Key& private_key,
+ const ECIES_KA_Params& ecies_params,
+ bool for_encryption,
+ RandomNumberGenerator& rng)
+ {
+ const ECDH_PrivateKey* ecdh_key = dynamic_cast<const ECDH_PrivateKey*>(&private_key);
+
+ if(ecdh_key == nullptr && (ecies_params.cofactor_mode() || ecies_params.old_cofactor_mode()
+ || ecies_params.check_mode()))
+ {
+ // assume we have a private key from an external provider (e.g. pkcs#11):
+ // there is no way to determine or control whether the provider uses cofactor mode or not.
+ // ISO 18033 does not allow cofactor mode in combination with old cofactor mode or check mode
+ // => disable cofactor mode, old cofactor mode and check mode for unknown keys/providers (as a precaution).
+ throw Invalid_Argument("ECIES: cofactor, old cofactor and check mode are only supported for ECDH_PrivateKey");
+ }
+
+ if(ecdh_key && (for_encryption || !ecies_params.cofactor_mode()))
+ {
+ // ECDH_KA_Operation uses cofactor mode: use own key agreement method if cofactor should not be used.
+ return PK_Key_Agreement(ECIES_PrivateKey(*ecdh_key), rng, "Raw");
+ }
+
+ return PK_Key_Agreement(private_key, rng, "Raw"); // use default implementation
+ }
+}
+
+ECIES_KA_Operation::ECIES_KA_Operation(const PK_Key_Agreement_Key& private_key,
+ const ECIES_KA_Params& ecies_params,
+ bool for_encryption,
+ RandomNumberGenerator& rng) :
+ m_ka(create_key_agreement(private_key, ecies_params, for_encryption, rng)),
+ m_params(ecies_params)
+ {
+ }
+
+/**
+* ECIES secret derivation according to ISO 18033-2
+*/
+SymmetricKey ECIES_KA_Operation::derive_secret(const std::vector<uint8_t>& eph_public_key_bin,
+ const PointGFp& other_public_key_point) const
+ {
+ if(other_public_key_point.is_zero())
+ {
+ throw Invalid_Argument("ECIES: other public key point is zero");
+ }
+
+ std::unique_ptr<KDF> kdf = Botan::KDF::create_or_throw(m_params.kdf_spec());
+
+ PointGFp other_point = other_public_key_point;
+
+ // ISO 18033: step b
+ if(m_params.old_cofactor_mode())
+ {
+ other_point *= m_params.domain().get_cofactor();
+ }
+
+ secure_vector<uint8_t> derivation_input;
+
+ // ISO 18033: encryption step e / decryption step g
+ if(!m_params.single_hash_mode())
+ {
+ derivation_input += eph_public_key_bin;
+ }
+
+ // ISO 18033: encryption step f / decryption step h
+ std::vector<uint8_t> other_public_key_bin = other_point.encode(m_params.compression_type());
+ // Note: the argument `m_params.secret_length()` passed for `key_len` will only be used by providers because
+ // "Raw" is passed to the `PK_Key_Agreement` if the implementation of botan is used.
+ const SymmetricKey peh = m_ka.derive_key(m_params.domain().get_order().bytes(), other_public_key_bin.data(), other_public_key_bin.size());
+ derivation_input.insert(derivation_input.end(), peh.begin(), peh.end());
+
+ // ISO 18033: encryption step g / decryption step i
+ return kdf->derive_key(m_params.secret_length(), derivation_input);
+ }
+
+
+ECIES_KA_Params::ECIES_KA_Params(const EC_Group& domain, const std::string& kdf_spec, size_t length,
+ PointGFp::Compression_Type compression_type, ECIES_Flags flags) :
+ m_domain(domain),
+ m_kdf_spec(kdf_spec),
+ m_length(length),
+ m_compression_mode(compression_type),
+ m_flags(flags)
+ {
+ }
+
+ECIES_System_Params::ECIES_System_Params(const EC_Group& domain, const std::string& kdf_spec,
+ const std::string& dem_algo_spec, size_t dem_key_len,
+ const std::string& mac_spec, size_t mac_key_len,
+ PointGFp::Compression_Type compression_type, ECIES_Flags flags) :
+ ECIES_KA_Params(domain, kdf_spec, dem_key_len + mac_key_len, compression_type, flags),
+ m_dem_spec(dem_algo_spec),
+ m_dem_keylen(dem_key_len),
+ m_mac_spec(mac_spec),
+ m_mac_keylen(mac_key_len)
+ {
+ // ISO 18033: "At most one of CofactorMode, OldCofactorMode, and CheckMode may be 1."
+ if(size_t(cofactor_mode()) + size_t(old_cofactor_mode()) + size_t(check_mode()) > 1)
+ {
+ throw Invalid_Argument("ECIES: only one of cofactor_mode, old_cofactor_mode and check_mode can be set");
+ }
+ }
+
+ECIES_System_Params::ECIES_System_Params(const EC_Group& domain, const std::string& kdf_spec,
+ const std::string& dem_algo_spec, size_t dem_key_len,
+ const std::string& mac_spec, size_t mac_key_len) :
+ ECIES_System_Params(domain, kdf_spec, dem_algo_spec, dem_key_len, mac_spec, mac_key_len, PointGFp::UNCOMPRESSED,
+ ECIES_Flags::NONE)
+ {
+ }
+
+std::unique_ptr<MessageAuthenticationCode> ECIES_System_Params::create_mac() const
+ {
+ return Botan::MessageAuthenticationCode::create_or_throw(m_mac_spec);
+ }
+
+std::unique_ptr<Cipher_Mode> ECIES_System_Params::create_cipher(Botan::Cipher_Dir direction) const
+ {
+ return Cipher_Mode::create_or_throw(m_dem_spec, direction);
+ }
+
+
+/*
+* ECIES_Encryptor Constructor
+*/
+ECIES_Encryptor::ECIES_Encryptor(const PK_Key_Agreement_Key& private_key,
+ const ECIES_System_Params& ecies_params,
+ RandomNumberGenerator& rng) :
+ m_ka(private_key, ecies_params, true, rng),
+ m_params(ecies_params),
+ m_eph_public_key_bin(private_key.public_value()), // returns the uncompressed public key, see conversion below
+ m_iv(),
+ m_other_point(),
+ m_label()
+ {
+ if(ecies_params.compression_type() != PointGFp::UNCOMPRESSED)
+ {
+ // 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 = m_params.domain().OS2ECP(m_eph_public_key_bin).encode(ecies_params.compression_type());
+ }
+ m_mac = m_params.create_mac();
+ m_cipher = m_params.create_cipher(ENCRYPTION);
+ }
+
+/*
+* ECIES_Encryptor Constructor
+*/
+ECIES_Encryptor::ECIES_Encryptor(RandomNumberGenerator& rng, const ECIES_System_Params& ecies_params) :
+ ECIES_Encryptor(ECDH_PrivateKey(rng, ecies_params.domain()), ecies_params, rng)
+ {
+ }
+
+size_t ECIES_Encryptor::maximum_input_size() const
+ {
+ /*
+ ECIES should just be used for key transport so this (arbitrary) limit
+ seems sufficient
+ */
+ return 64;
+ }
+
+size_t ECIES_Encryptor::ciphertext_length(size_t ptext_len) const
+ {
+ return m_eph_public_key_bin.size() +
+ m_mac->output_length() +
+ m_cipher->output_length(ptext_len);
+ }
+
+/*
+* ECIES Encryption according to ISO 18033-2
+*/
+std::vector<uint8_t> ECIES_Encryptor::enc(const uint8_t data[], size_t length, RandomNumberGenerator&) const
+ {
+ if(m_other_point.is_zero())
+ {
+ throw Invalid_State("ECIES: the other key is zero");
+ }
+
+ const SymmetricKey secret_key = m_ka.derive_secret(m_eph_public_key_bin, m_other_point);
+
+ // encryption
+
+ m_cipher->set_key(SymmetricKey(secret_key.begin(), m_params.dem_keylen()));
+ if(m_iv.size() == 0 && !m_cipher->valid_nonce_length(m_iv.size()))
+ throw Invalid_Argument("ECIES with " + m_cipher->name() + " requires an IV be set");
+
+ m_cipher->start(m_iv.bits_of());
+
+ secure_vector<uint8_t> encrypted_data(data, data + length);
+ m_cipher->finish(encrypted_data);
+
+ // concat elements
+
+ std::vector<uint8_t> out(m_eph_public_key_bin.size() + encrypted_data.size() + m_mac->output_length());
+ buffer_insert(out, 0, m_eph_public_key_bin);
+ buffer_insert(out, m_eph_public_key_bin.size(), encrypted_data);
+
+ // mac
+ m_mac->set_key(secret_key.begin() + m_params.dem_keylen(), m_params.mac_keylen());
+ m_mac->update(encrypted_data);
+ if(!m_label.empty())
+ {
+ m_mac->update(m_label);
+ }
+ m_mac->final(out.data() + m_eph_public_key_bin.size() + encrypted_data.size());
+
+ return out;
+ }
+
+
+ECIES_Decryptor::ECIES_Decryptor(const PK_Key_Agreement_Key& key,
+ const ECIES_System_Params& ecies_params,
+ RandomNumberGenerator& rng) :
+ m_ka(key, ecies_params, false, rng),
+ m_params(ecies_params),
+ m_iv(),
+ m_label()
+ {
+ // 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())
+ {
+ 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");
+ }
+ }
+
+ m_mac = m_params.create_mac();
+ m_cipher = m_params.create_cipher(DECRYPTION);
+ }
+
+size_t ECIES_Decryptor::plaintext_length(size_t ctext_len) const
+ {
+ const size_t point_size = m_params.domain().point_size(m_params.compression_type());
+ const size_t overhead = point_size + m_mac->output_length();
+
+ if(ctext_len < overhead)
+ return 0;
+
+ return m_cipher->output_length(ctext_len - overhead);
+ }
+
+/**
+* ECIES Decryption according to ISO 18033-2
+*/
+secure_vector<uint8_t> ECIES_Decryptor::do_decrypt(uint8_t& valid_mask, const uint8_t in[], size_t in_len) const
+ {
+ const size_t point_size = m_params.domain().point_size(m_params.compression_type());
+
+ if(in_len < point_size + m_mac->output_length())
+ {
+ throw Decoding_Error("ECIES decryption: ciphertext is too short");
+ }
+
+ // extract data
+ const std::vector<uint8_t> other_public_key_bin(in, in + point_size); // the received (ephemeral) public key
+ const std::vector<uint8_t> encrypted_data(in + point_size, in + in_len - m_mac->output_length());
+ const std::vector<uint8_t> mac_data(in + in_len - m_mac->output_length(), in + in_len);
+
+ // ISO 18033: step a
+ 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())
+ {
+ throw Decoding_Error("ECIES decryption: received public key is not on the curve");
+ }
+
+ // ISO 18033: step e (and step f because get_affine_x (called by ECDH_KA_Operation::raw_agree)
+ // throws Illegal_Transformation if the point is zero)
+ const SymmetricKey secret_key = m_ka.derive_secret(other_public_key_bin, other_public_key);
+
+ // validate mac
+ m_mac->set_key(secret_key.begin() + m_params.dem_keylen(), m_params.mac_keylen());
+ m_mac->update(encrypted_data);
+ if(!m_label.empty())
+ {
+ m_mac->update(m_label);
+ }
+ const secure_vector<uint8_t> calculated_mac = m_mac->final();
+ valid_mask = ct_compare_u8(mac_data.data(), calculated_mac.data(), mac_data.size());
+
+ if(valid_mask)
+ {
+ // decrypt data
+
+ m_cipher->set_key(SymmetricKey(secret_key.begin(), m_params.dem_keylen()));
+ if(m_iv.size() == 0 && !m_cipher->valid_nonce_length(m_iv.size()))
+ throw Invalid_Argument("ECIES with " + m_cipher->name() + " requires an IV be set");
+ m_cipher->start(m_iv.bits_of());
+
+ try
+ {
+ // the decryption can fail:
+ // e.g. Invalid_Authentication_Tag is thrown if GCM is used and the message does not have a valid tag
+ secure_vector<uint8_t> decrypted_data(encrypted_data.begin(), encrypted_data.end());
+ m_cipher->finish(decrypted_data);
+ return decrypted_data;
+ }
+ catch(...)
+ {
+ valid_mask = 0;
+ }
+ }
+ return secure_vector<uint8_t>();
+ }
+
+}