split up 24 word recovery phase

[justinjja]

Say I split up my recovery phrase into 3 equal pieces:

traffic wire festival twelve abstract hurdle build water loyal fossil live print bench pet use coil size kingdom matter govern blind fresh mechanic barely
(This was just generated as an example, it is empty)

Set A) traffic wire festival twelve abstract hurdle build water
Set B) loyal fossil live print bench pet use coil
Set C) size kingdom matter govern blind fresh mechanic barely

Then I stored
Sets A and B in gmail ;;  traffic wire festival twelve abstract hurdle build water loyal fossil live print bench pet use coil ? ? ? ? ? ? ? ?
Sets B and C in a safe  ;;  ? ? ? ? ? ? ? ? loyal fossil live print bench pet use coil size kingdom matter govern blind fresh mechanic barely
Sets A and C in a safety deposit box ;;  traffic wire festival twelve abstract hurdle build water ? ? ? ? ? ? ? ? size kingdom matter govern blind fresh mechanic barely

How hard would it be for someone to guess the remaining 8 words if they got a hold of 2 sets?
I think I saw read that there are 2048 words?
so 2048^8= 3 X 10^26?
How long would it take to brute force that on a single GTX 1080 TI for example?

If it isn't feasible to crack then I like this because:
You could lose access to any single of the 3 locations and still have all 24 words
Someone could steal any single of the 3 locations, and still not have all 24 words

Let me know if this is stupid for some reason.

Thanks,
Justin

[Xynerise]

You're not supposed to store seeds online.
Also, you're needlessly complicating issues.
You can write everything down on a paper and store it in an offline location like a safety deposit box.


If you want to split your seed, then you wouldn't store it in plaintext, but instead using something like Shamir's Secret Sharing.
The website below gives a demo
http://point-at-infinity.org/ssss/demo.html