Abstract: Point multiplication is the core operation in elliptic curve cryptography. Koblitz curves are a special class of curves that can utilize the Frobenius mapping to accelerate the ...

to the first team able to break an elliptic curve cryptographic (ECC) key, the cryptography which secures the Bitcoin network, using Shor’s algorithm on a quantum computer. Shor's algorithm is a ...

More than 6 million Bitcoin — worth around $500 billion — could be at risk if quantum computers become powerful enough to crack elliptic curve cryptography (ECC) keys, Project Eleven said.

On Wednesday, quantum computing research group Project 11 announced a prize of 1 BTC—currently worth nearly $85,000—for the first team to break a simplified version of Bitcoin’s elliptic curve ...

f2m Binary field.--fp Prime field. Generate a prime field, uniquely generated, prime order curve, don't ask for input try random values, verbose output (shown with example output here): > ecgen --fp ...