The level of security in terms of the corresponding bit length directly influences the performance of the respective algorithm. We now analyze the influence of increasing the security level on the runtime. Assume that a commercial Web server for an online shop can use either RSA or ECC for signature generation. Furthermore, assume that signature generation for RSA-1024 and ECC-160 takes 15.7 ms and 1.3 ms, respectively.
1. Determine the increase in runtime for signature generation if the security level from RSA is increased from 1024 bit to 3072 bit.
2. How does the runtime increase from 1024 bit to 15,360 bit?
3. Determine these numbers for the respective security levels of ECC.
4. Describe the difference between RSA and ECC when increasing the security level