I imagine 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 totally different sequences.
- The sequences are infinite in size.
- The weather of the sequences are members of a finite set.
The results needs to be clear.
An extended, meandering and unsatisfyingly-unquantified reply could be:
If you happen to add (or omit) a passphrase, does it generate the identical personal key someday?
The preferred definition for 24-word seed phrases, that are additionally known as restoration phrases typically, is BIP-39
This enables for an non-obligatory further passphrase for use along with the seed phrase when calculating the personal keys. The passphrase provides an additional layer of safety and totally different passphrases will trigger totally different personal keys to be generated.
This method is invariably used with BIP-32 Hierarchical Deterministic (HD) wallets. These wallets generate, not only one, however a complete sequence of personal keys from the seed knowledge.
The consequence is, should you lose your pockets and overlook your passphrase, you’ll be able to’t get well management over your cash solely utilizing the seed phrase.
Notice that some wallets additionally use a password or passphrase to encrypt some or all of their pockets knowledge. This can be a totally 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 | move phrase |
|---|---|---|
| A | boss rural month arm exit elegant eight grain palace biology pistol management outdoors album slab high boil take in tree imply avenue giggle head frozen | Alex |
| B | boss rural month arm exit elegant eight grain palace biology pistol management outdoors album slab high boil take in tree imply avenue giggle head frozen | Axle |
As a result of Alex is just not Axle, Wallets A and B will every generate a unique sequence of personal keys. Lets name these sequences baskets A and B.
Shall we say you’re a very busy individual, maybe you purchase Amazon, eBay and Alibaba and make each transaction worldwide, pay to a brand new personal key in considered one of your wallets, alternating them.
Within the very quick time period (the primary million years say), Maybe baskets A and B shall 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 shall be be swallowed by the Solar within the forseeable future, so there is probably not sufficient time. You’d need to 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.
