public Tuple <PrivateKey, PublicKey> GenerateKeyPair()
{
/*
* q = 11 # selected prime divisor
* p = 23 # computed prime modulus: (p-1) mod q = 0
* g = 4 # computed: 1 < g < p, g**q mod p = 1:
# and g = h**((p–1)/q) mod p
# 4**11 mod 23 = 1: 4194304 mod 23 = 1
# x = 7 # selected: 0 < x < q
# y = 8 # computed: y = g**x mod p = 4**7 mod 23
# {23,11,4,8} # the public key: {p,q,g,y}
# {23,11,4,7} # the private key: {p,q,g,x}
*/
var primeQ = 11;
var primeP = 23;
var randomH = GetRandom(RandomPosition.RandomH, 1, primeQ - 1);
var baseG = (int)Math.Pow(randomH, (primeP - 1) / primeQ);
var privateX = GetRandom(RandomPosition.RandomX, 1, primeQ - 1);
var publicY = (int)Math.Pow(baseG, privateX) % primeP;
return(BaseKey.ConstructKeyPair(primeQ, primeP, baseG, privateX, publicY));
}