TlsInit: better X25519 key generation.
GitOrigin-RevId: b7efb4bfd1d285a54292e5733c855d7693419af1
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@ -21,6 +21,8 @@
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#include <map>
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static td::BigNumContext context;
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static bool is_quadratic_residue(const td::BigNum &a) {
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// 2^255 - 19
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td::BigNum mod =
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@ -29,13 +31,12 @@ static bool is_quadratic_residue(const td::BigNum &a) {
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td::BigNum pow =
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td::BigNum::from_hex("3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff6").move_as_ok();
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static td::BigNumContext context;
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td::BigNum r;
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td::BigNum::mod_exp(r, a, pow, mod, context);
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td::BigNum one = td::BigNum::from_decimal("1").move_as_ok();
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td::BigNum::mod_add(r, r, one, mod, context);
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std::string result = r.to_decimal();
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td::string result = r.to_decimal();
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CHECK(result == "0" || result == "1" || result == "2");
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return result == "2";
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}
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@ -64,7 +65,6 @@ td::Result<TlsInfo> test_tls(const td::string &url) {
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};
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auto add_key = [&] {
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td::string key(32, '\0');
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td::BigNumContext context;
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td::BigNum mod =
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td::BigNum::from_hex("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed").move_as_ok();
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while (true) {
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@ -7,6 +7,7 @@
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#include "td/mtproto/TlsInit.h"
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#include "td/utils/as.h"
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#include "td/utils/BigNum.h"
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#include "td/utils/common.h"
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#include "td/utils/crypto.h"
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#include "td/utils/logging.h"
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@ -35,7 +36,7 @@ void Grease::init(MutableSlice res) {
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class TlsHello {
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public:
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struct Op {
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enum class Type { String, Random, Zero, Domain, Grease, BeginScope, EndScope };
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enum class Type { String, Random, Zero, Domain, Grease, Key, BeginScope, EndScope };
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Type type;
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int length;
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int seed;
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@ -80,6 +81,11 @@ class TlsHello {
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res.type = Type::EndScope;
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return res;
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}
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static Op key() {
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Op res;
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res.type = Type::Key;
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return res;
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}
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};
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static const TlsHello &get_default() {
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@ -112,7 +118,7 @@ class TlsHello {
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"\x04\x04\x01\x05\x03\x08\x05\x05\x01\x08\x06\x06\x01\x02\x01\x00\x12\x00\x00\x00\x33\x00\x2b\x00\x29"),
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Op::grease(4),
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Op::string("\x00\x01\x00\x00\x1d\x00\x20"),
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Op::random(32),
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Op::key(),
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Op::string("\x00\x2d\x00\x02\x01\x01\x00\x2b\x00\x0b\x0a"),
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Op::grease(6),
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Op::string("\x03\x04\x03\x03\x03\x02\x03\x01\x00\x1b\x00\x03\x02\x00\x02"),
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@ -193,6 +199,9 @@ class TlsHelloCalcLength {
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}
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size_ += 2;
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break;
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case Type::Key:
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size_ += 32;
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break;
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case Type::BeginScope:
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size_ += 2;
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scope_offset_.push_back(size_);
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@ -280,6 +289,33 @@ class TlsHelloStore {
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dest_.remove_prefix(2);
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break;
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}
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case Type::Key: {
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BigNum mod = BigNum::from_hex("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed").move_as_ok();
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BigNumContext big_num_context;
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auto key = dest_.substr(0, 32);
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while (true) {
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Random::secure_bytes(key);
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key[31] = static_cast<char>(key[31] & 127);
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BigNum x = BigNum::from_le_binary(key);
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if (!is_quadratic_residue(x)) {
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continue;
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}
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BigNum y = x.clone();
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BigNum coef = BigNum::from_decimal("486662").move_as_ok();
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BigNum::mod_add(y, y, coef, mod, big_num_context);
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BigNum::mod_mul(y, y, x, mod, big_num_context);
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BigNum one = BigNum::from_decimal("1").move_as_ok();
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BigNum::mod_add(y, y, one, mod, big_num_context);
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BigNum::mod_mul(y, y, x, mod, big_num_context);
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// y = x^3 + 486662 * x^2 + x
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if (is_quadratic_residue(y)) {
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break;
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}
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}
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dest_.remove_prefix(32);
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break;
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}
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case Type::BeginScope:
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scope_offset_.push_back(get_offset());
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dest_.remove_prefix(2);
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@ -319,6 +355,19 @@ class TlsHelloStore {
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MutableSlice dest_;
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std::vector<size_t> scope_offset_;
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static bool is_quadratic_residue(const BigNum &a) {
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// 2^255 - 19
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BigNum mod = BigNum::from_hex("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed").move_as_ok();
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// (mod - 1) / 2 = 2^254 - 10
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BigNum pow = BigNum::from_hex("3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff6").move_as_ok();
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BigNumContext context;
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BigNum r;
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BigNum::mod_exp(r, a, pow, mod, context);
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return r.to_decimal() == "1";
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}
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size_t get_offset() const {
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return data_.size() - dest_.size();
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}
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