Regarding Bip39 word list and 24 word seeds. Can 2 out of the 24 words be the same?
My guess is that they can be the same ----- it is just unlikely because there are over 2000 words in the list-----it depends on the algo. selection mechanism.
Posted Oct 19, 2018, 5:46 PM UTC
If you have an 11 digit decimal random number, one of the numbers 0-9 must appear appear twice. Does that make it less secure?
Actually not having repeats would make it less secure. It’s how Enigma was broken. Ill give two examples. Say we have a 10 digit code, and it can start with zero(make the math easier). Then we have about 3.6 million permutations. However if there are repeats allowed we have 10 billion. That is over a 99% reduction in security.
Say we have 100 words. The difference is a lot more subtle. If we have a 24 word key, with no repeats we have about if I did the math right 2.82EE46 permutations. However if we allow repeats it jumps to 10^50. Slightly less than 50 fold, which is childs play in modern security, but the point stands. The difference becomes significant when we do a 100 word key. 10^200 vs 10^158. 10^42 times harder to break.
Real world security is very different tho. I mean heck the enigma was mostly broken because every message ended in “Heil Hitler.”