I consider the next to be true:
- Sequences of keys generated from seeds are indistinguishable from random sequences (besides at extraordinarily giant scales).
- Seeds with the tiniest distinction produce fully completely different sequences.
- The sequences are infinite in size.
- The weather of the sequences are members of a finite set.
The results ought to be clear.
An extended, meandering and unsatisfyingly-unquantified reply is likely to be:
In case you add (or omit) a passphrase, does it generate the identical personal key someday?
The most well-liked definition for 24-word seed phrases, that are additionally referred to as restoration phrases typically, is BIP-39
This enables for an elective further passphrase for use along with the seed phrase when calculating the personal keys. The passphrase provides an additional layer of safety and completely different passphrases will trigger completely different personal keys to be generated.
This technique is invariably used with BIP-32 Hierarchical Deterministic (HD) wallets. These wallets generate, not only one, however an entire sequence of personal keys from the seed information.
The consequence is, in case you lose your pockets and overlook your passphrase, you’ll be able to’t get better management over your cash solely utilizing the seed phrase.
Observe that some wallets additionally use a password or passphrase to encrypt some or all of their pockets information. It is a completely different passphrase from the one used with the seed phrase when creating a brand new pockets or recovering a misplaced pockets. It’s simple to get confused by this. Do not get them combined up.
Addendum
Shall we say you create pockets A and pockets B as follows
| Pockets | seed phrase | go phrase |
|---|---|---|
| A | boss rural month arm exit elegant eight grain palace biology pistol management outdoors album slab prime boil soak up tree imply road giggle head frozen | Alex |
| B | boss rural month arm exit elegant eight grain palace biology pistol management outdoors album slab prime boil soak up tree imply road giggle head frozen | Axle |
As a result of Alex is just not Axle, Wallets A and B will every generate a special sequence of personal keys. Lets name these sequences baskets A and B.
Shall we say you’re a very busy particular person, maybe you purchase Amazon, eBay and Alibaba and make each transaction worldwide, pay to a brand new personal key in one among your wallets, alternating them.
Within the very quick time period (the primary million years say), Maybe baskets A and B will likely be disjoint units.
Nevertheless
Each secret is in each basket, given sufficient time.
Each secret is in each basket an infinite variety of occasions, given infinite time.
See Bitcoin collider
In fact, the Earth will likely be be swallowed by the Solar within the forseeable future, so there is probably not sufficient time. You’d should ask a statistician and base an estimate on a prediction of future computing energy and the way which may be bounded by the quantity of matter within the accessible universe and varied different bodily constraints.
