public SRP6a(Account account)
{
this.Account = account;
this.IdentitySalt = H.ComputeHash(Encoding.ASCII.GetBytes(this.Account.Email)).ToHexString(); // Identity salt that's hashed using account email.
// calculate server's public ephemeral value.
this.b = GetRandomBytes(128).ToBigInteger(); // server's secret ephemeral value.
var gModb = BigInteger.ModPow(g, b, N); // pow(g, b, N)
var k = H.ComputeHash(new byte[0].Concat(N.ToArray()).Concat(g.ToArray()).ToArray()).ToBigInteger(); // Multiplier parameter (k = H(N, g) in SRP-6a
this.B = BigInteger.Remainder((this.Account.PasswordVerifier.ToBigInteger() * k) + gModb, N); // B = (k * v + pow(g, b, N)) % N
// cook the logon challenge message
this.LogonChallenge = new byte[0]
.Concat(new byte[] { 0 }) // command = 0
.Concat(this.IdentitySalt.ToByteArray()) // identity-salt - generated by hashing account email.
.Concat(this.Account.Salt) // account-salt - generated on account creation.
.Concat(B.ToArray()) // server's public ephemeral value (B)
.Concat(SecondChallenge.ToArray()) // second challenge
.ToArray();
}
/// <summary>
/// Verifies the account using srp6a session provided values by client.
/// </summary>
/// <param name="ABytes">Client's public ephemeral</param>
/// <param name="M_client">Client M.</param>
/// <param name="seed">Session seed.</param>
/// <returns></returns>
public bool Verify(byte[] ABytes, byte[] M_client, byte[] seed)
{
var A = ABytes.ToBigInteger(); // client's public ephemeral
var u = H.ComputeHash(new byte[0].Concat(ABytes).Concat(B.ToArray()).ToArray()).ToBigInteger(); // Random scrambling parameter - u = H(A, B)
var S_s = BigInteger.ModPow(A * BigInteger.ModPow(this.Account.PasswordVerifier.ToBigInteger(), u, N), b, N); // calculate server session key - S = (Av^u) ^ b
this.SessionKey = Calc_K(S_s.ToArray()); // K = H(S) - Shared, strong session key.
var K = this.SessionKey.ToBigInteger();
var hashgxorhashN = Hash_g_and_N_and_xor_them().ToBigInteger(); // H(N) ^ H(g)
var hashedIdentitySalt = H.ComputeHash(Encoding.ASCII.GetBytes(this.IdentitySalt)); // H(I)
var M = H.ComputeHash(new byte[0] // verify client M_client - H(H(N) ^ H(g), H(I), s, A, B, K_c)
.Concat(hashgxorhashN.ToArray())
.Concat(hashedIdentitySalt)
.Concat(this.Account.Salt.ToArray())
.Concat(ABytes)
.Concat(B.ToArray())
.Concat(K.ToArray())
.ToArray());
// We can basically move m_server, secondproof and logonproof calculation behind the M.CompareTo(M_client) check, but as we have an option DisablePasswordChecks
// which allows authentication without the correct password, they should be also calculated for wrong-passsword auths. /raist.
// calculate server proof of session key
var M_server = H.ComputeHash(new byte[0] // M_server = H(A, M_client, K)
.Concat(ABytes)
.Concat(M_client)
.Concat(K.ToArray())
.ToArray());
var secondProof = GetSecondProof(Encoding.ASCII.GetBytes(this.Account.Email), seed, SecondChallenge.ToArray());
// cook logon proof message.
LogonProof = new byte[0]
.Concat(new byte[] { 3 }) // command = 3 - server sends proof of session key to client
.Concat(M_server) // server's proof of session key
.Concat(secondProof.ToArray()) // second proof
.ToArray();
if (M.CompareTo(M_client)) // successful authentication session.
{
return(true);
}
else // authentication failed because of invalid credentals.
{
return(false);
}
}