Would a DES algorithm that uses all 64 bits for the key instead of just the 56 bits be more secure? I have been thinking about it but those 8 bits used for parity are very useful and but including them in the key could potentially make it more easily cracked.
From Wikipedia, it stated that the 56 bit key was cracked in 4 days due to hardware. Now if we include the 8 parity bits to make it a 64 bit key, would that make the key crackable after 1024 days? My math: 2^8 * 4 = 1024 days. Assume we use the same hardware.
If we included the 8 parity bits, would it have made the security of DES substantially stronger?