What is a passphrase, and when is it better?
Words trade density for memory. Whether that is a good trade depends on whether you have to type it.
The arithmetic
A passphrase draws words independently from a known list. With the EFF large list of 7,776 words, each word contributes log2(7776) ≈ 12.93 bits. Four words is about 52 bits; six words is about 78.
That is less than a 16-character random password (about 103 bits) — but a passphrase is memorable and a random string is not, and a password you have to look up is a password that ends up written on a sticky note.
Why the word list size is the whole claim
A generator that does not disclose its list size cannot be evaluated. The difference between a 1,000-word list and the EFF list is a factor of 4,000 in search space for the same four words on screen.
| List size | Bits per word | 4-word total |
|---|---|---|
| 1,000 words | 9.97 | 40 bits |
| 2,048 words | 11.00 | 44 bits |
| 7,776 words (EFF) | 12.93 | 52 bits |
| 20,000 words | 14.29 | 57 bits |
When a passphrase is the right choice
When a password manager can hold the value, a random string is denser and strictly better. The passphrase exists for the cases where the manager is not reachable.
- A password manager master password — you must remember it and type it often.
- Full-disk encryption — entered before any manager is available.
- Device passcodes on TVs, consoles and streaming boxes, where symbol input is painful.
- Anything you will type by hand on a device without a clipboard.
Frequently asked questions
Are passphrases easier to crack than passwords?
Per character, yes. Per unit of memory, no. Six random words is about 78 bits and you can remember it; a 78-bit random string is 12 characters of noise.
Should I use a phrase I invented?
No. Invented phrases follow grammar and idiom, which an attacker can model with a language model. Independent random selection is what makes the entropy figure real.
How many words should a master password have?
Six. It protects everything else, and it is the one password where the extra typing is worth it.