How to optimize this algorithm. Two Dictionaries and searching for a specific value

I have 2 Dictionaries. I am trying to optimize this code to run as fast as possible.

edit: Sorry, this is for solving Shanks Baby Step Giant Step Algorithm

Algorithm:

Given b = a^x (mod p)
First choose n, such that n^2 >= p-1
Then create 2 lists:
    1. a^j (mod p) for 0 <= j < n
    2. b*(a(inverse)^n)^k for 0 <= k < n
Finally look for a match between the 2 lists.


public static BigInteger modInverse(BigInteger a, BigInteger n)
{
    BigInteger i = n, v = 0, d = 1;
    while (a > 0)
    {
        BigInteger t = i / a, x = a;
        a = i % x;
        i = x;
        x = d;
        d = v - t * x;
        v = x;
    }
    v %= n;
    if (v < 0) v = (v + n) % n;
    return v;
}

static int Main()
{
    BigInteger r = 92327518017225,
               rg,
               temp,
               two=2,
               tm, 
               n = ((BigInteger)Math.Sqrt(247457076132467-1))+1, 
               mod = 247457076132467;
    Dictionary<int, BigInteger> b = new Dictionary<int, BigInteger>();
    Dictionary<int, BigInteger> g = new Dictionary<int, BigInteger>();
    temp = modInverse(two, mod);
    temp = BigInteger.ModPow(temp, n, mod);
    for (int j = 0; (BigInteger)j < n; j++)
    {
        rg = r * BigInteger.ModPow(temp, j, mod);
        g.Add(j, rg);
    }
    for (int i = 0; (BigInteger)i < n ; i++)
    {
        tm = BigInteger.ModPow(2, i, mod);
        foreach (KeyValuePair<int, BigInteger> d in g)
        {
            if (d.Value.Equals(tm))
            {
                Console.WriteLine("j={0}   B*t^j(mod m) = {1}",d.Key,d.Value);
                Console.WriteLine("a^"+i+" = "+tm);
            }
        }
        b.Add(i,tm);
    }
    Console.ReadKey();
    retur开发者_如何学Cn 0;
}

One easy optimization is to switch around the g dictionary so that the BigInteger is the key

Then you can use .ContainsKey to search it instead of looping, which would be much faster