Quote from: sssergy2705 on Today at 03:04:08 PM

Quote from: mcdouglasx on Today at 04:12:00 AM

generating sequences 01001....
The possibility of finding an identical sequence is very low.

The traditional way limits you in space, and it works the same. If you choose 64 as the collision margin you will divide your computing power/64, but with a huge database, you would still find the key faster than using xpoint.

Tested for 35 bit range, 50 million keys.
You write that the probability of false collisions is small, but I see something else.

Code:

Pk: 0x4a6af41c8
Pk: 0x4ab282db0
Pk: 0x4aa361888
Pk: 0x4995442d8
Pk: 0x4ac360410
Pk: 0x4aae069e0
Pk: 0x4990d2b70
Pk: 0x4a8293880
Pk: 0x49f888a98
Pk: 0x4a561b330
Pk: 0x4941be9a8
Pk: 0x49f676c08
Pk: 0x4ac3f4a18
Pk: 0x4abf25b48
Pk: 0x49cd58448
Pk: 0x4a3d172c0
Pk: 0x4a61e9c68
Pk: 0x497caefb0
Pk: 0x49ad43d20
Pk: 0x49b2be970
Pk: 0x4a2da0e08
Pk: 0x49daf14c8
Pk: 0x4a703a6d8
Pk: 0x4ac0ab410
Pk: 0x4ad48cd78
Pk: 0x49e381bf8
Pk: 0x4a8ce39b8
Pk: 0x4a2dbdcb0
Pk: 0x4a4b02ed0
Pk: 0x496075af8
Pk: 0x49df04bc8
Pk: 0x4968e4c58
Pk: 0x49b84c1d8
Pk: 0x4a7274c00
Pk: 0x4a103c310
Pk: 0x49dbc9168
Pk: 0x4980b4718
Pk: 0x4ac09a4a8
Pk: 0x496513eb8
Pk: 0x4a7fde400
Pk: 0x49e0a30d8
Pk: 0x4a0ca7000
Pk: 0x4a8ce5788
Pk: 0x4a29828a8
Pk: 0x4aa33ffe8
Pk: 0x49a7d8070
Pk: 0x4a7761668
Pk: 0x4ab04fb48
Pk: 0x49d3b4878
Pk: 0x49f91b288
Pk: 0x495b36470
Pk: 0x4a5b73060
Pk: 0x4a73533c8
Pk: 0x4a069d880
Pk: 0x495857b48

What is that? I don't understand, are they false positives?
If so, you must increase the collision margin from 64 to 128 or higher and problem solved.
It is still random+ scalar so you can increase the margin of precision thanks to scalar multiplication.