Tangem Wallet Pack of 2 - Secure Crypto Wallet - Trusted Cold Storage for Bitcoin, Ethereum, NFT's &

Tangem Wallet Pack of 2 - Secure Crypto Wallet - Trusted Cold Storage for Bitcoin, Ethereum, NFT's &
Key item features Ultimate Security: Generates a private key that remains on the card, safeguarding crypto and NFTs from hackers with EAL6+ certification and audited firmware. Versatile Compatibility: Manages over 13,000 tokens across 70+ blockchains, supporting DeFi, NFTs, and DeEx without wires, Bluetooth, or USB. Effortless Operation: Utilizes NFC for secure transactions via a mobile device and the Tangem app, enabling buying and selling crypto with various payment methods. Smart Backup: Features a second Tangem Wallet as a backup, eliminating the need for paper, pictures, or seed phrases for recovery. Durable Design: Boasts IP68 protection against environmental conditions, ensuring longevity and robust physical security. Comprehensive Support: Compatible with Bitcoin, Ethereum, Solana, XRP, USDT, and over 6,000 cryptocurrencies, integrating with dApps and WalletConnect.

LBANK

LBANK

Why does Bitcoin have 128 bits of security?

It is commonly said that Bitcoin has 128 bits of security because there is an algorithm that can find the private key of a given public key in an average of 2^128 steps.

However, this assumes that the attacker knows the public key associated with the funds, so this attack is only possible with P2PK outputs or with addresses that have already been spent from.

In the case of an unspent P2PKH or P2WPKH, the attacker only knows the 160-bit address. Therefore, they must first brute force to find the public key associated with the given address. For each attempt, they have a 1 in 2^160 chance of succeeding, meaning the security here is effectively 160 bits. Once the attacker finds the public key, they can then apply the algorithm to find the private key.

So doesn't this imply 160 bits of security? Even if the attacker immediately found the private key corresponding to a public key, they would still need to perform a 160-bit brute-force attack first.



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