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Connection between mnemonic code and passphrase in BIP39 regarding security

Moussa by Moussa
August 3, 2026
in Bitcoin
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I am trying to understand connection between mnemonic code and passphrase regarding security.

Let say I have a low entropy mnemonic code eg. “abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon about” in this example entropy is 0.

If I use this in any hardware wallet, I am pretty sure bitcoins will be gone immediately.
But if I add passphrase with 128bit of entropy. (let ignore how to generate passphrase with 128bit of entropy, let say for sake of argument that we have it)

Is then my hardware wallet secure with 128 bit of entropy even if entropy of mnemonic code is 0 ?

Basically I am trying to understand how is entropy of mnemonic code and entropy of passphrase affects overall security of hardware wallet ?

After writing this question I am thinking maybe connection is not liner like a sum.
That you can just add two of them together(mnemonic code and passphrase) and get total.

Thanks for answers.



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