The strength of the session key of the HDX 3072 encryption Algorithm is, as its name suggests, 3072 bits. A typical session key is:
236EC16AB592DC9C8FEE4E385C79B1BB6939ACA7D84AB2034A7
FD3833C2DD23AAD0C770302727987CA256156A6B5ACAFEFD09
46CF4EA45CCA012C8CCD9B9F539B525F3CAB83C96BB0FCD9015E
D2BA2F3DF7203004D861ED8EAA3010D2794951AAFAFC166AEBD
1ADAE79127ED16B0A55330291103266767F32A3795F391857BCD
8F905F43C64BEF666548E586738F27F8E77EE69D7131EA3BA895
F333D36DCB83A5A01D42ED6F4AF5968FA79495080F15CAA0F2D
FA64B2AA1F15621A15D13365D999EC6FD34C16167A47839ED32D
DD231339834D208D579EAF5A80655126C74D2B127393A82F4425
8E2B4AF61B3D6C7C728617EC83EB4D310DC5864F5EBF21872E8C7
41425C12227CEBC9601B8AC28DDCA36EBC377240A4E610974DAD
B138139E2CB488B7A7D6C40460B02AA9A98E123F030B7311DFD5
3391DB8FAE5DE1BBAA6F37292DC57F973D50BF2B49AF56F92E6F
8E1A60078A5BFD7AFDB917C06BCCCE313990FC8F0A958CAAAF5
BDA3F4B2331279DB249A781C5D8CE3A31038559C15623
This key is only ever used once. It changes completely every time it is used. If you would prefer to translate these hexadecimal numbers into more familiar decimals, then the number of different keys is approximately equal 10 to the power 925. (That’s “1” followed by 925 zeros!)
At this point we let our imagination run riot and assume that there is a super-computer somewhere out there that can make an exhaustive search of the previous world record 512-bit session key in the time it takes light to travel 1 millimetre – less than 100 trillionths of a second. That’s a short time to wait. So the question is: How long would it take this mythical super computer (MSC for short) to crack the session key of CRYPTETO 3072? The answer is 10^752 years (“1” followed by 752 zeros). That’s a long time to wait.
Author: Bill Hawthorne
