Very recently we have seen some progress in the cryptanalysis of Elliptic curves. This Austrian group have reportedly broken an elliptic curve at the 113-bit level of security, using 10 FPGAs. Before proceeding lets put a number against “security level”. Consider the Advanced Encryption Standard (AES) with a 128-bit random key. Lets call this AES-128. Now for elliptic curves we need twice as many bits for the same level of security.…