>>13618167Very basically an elliptic curve is a curve of degree three, ie. it meets any line in three points. Moreover, an elliptic curve E has a natural group structure (E,+) related to it (if P and Q, then P+Q is determined by the third point of E on the line (PQ) )
If you can find a way to encode messages as points on E, you have an encryption operation: (crypted message) = (original message) + (key)