[Aalfabob]

Please correct me if im worng but I think this can help prove it a little better:

So say I have 512 bytes of data im compressing. This can contain 3.74 * 10^693 different combinations correct? So say I add a byte to that (513 Bytes), the combinations that creates are 6.16 * 10^693 or twice as much.

So say I have one byte as a header that can count the amount of times that data has been compressed. So that header can hold 256 values. So depending on which way those bytes come out (3.74 * 10^693), the counter can hold 256 different values so wouldnt adding that 1 byte for counting actually make the file have 9.57 * 10^695 combinations (256 * (3.74 * 10^693))? Now this is alot more combinations avaliable for the same amount of data. Hopefully I did that right.

Data:
512 byte combinations = 3.74 * 10^693
513 byte combinations = 6.16 * 10^693
513 with one byte being a counter = 9.57 * 10^695

If im correct i think that this can prove that that many pieces of randomly generated code can fit in that space. And plus im using a 2 byte main header which can contain 65536 runs.