Note 4/20/17: Due to circumstances I have had to move my web pages here.

Given a prime p, the elliptic curves modulo p that we use are of the form: y^{2} = x^{3} + ax + b.

The curve and key information used for this page is:

Given a field GF(2^{m}) and a irreducable polynomial, the curve is of the form: y^{2} + xy = x^{3} + ax^{2} + b.

Select a point corresponding to a message you want to send. This particular approach is using elliptic curves to simulate ElGamal encryption.

Note that there is no obvious way of mapping messages to points (Not all values for x or y correspond to valid points). This, along with the fact that symmetric key methods such as DES or AES are generally faster, means that ellipitic curve cryptography is rarely used for actually encrypting messages. Also, ElGamal used in this way is considered susceptible to some attacks, so should be avoided.

Message: (2,9) Sender selected value r:

Encrypted Message: C1: (2,9) , C2: (2,9)

The details are at the bottom of the page

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