Without cryptography, cryptocurrencies such as Bitcoin would be digital lines of code that anyone can copy/paste. It would be easily replicable and falsifiable, leading to significant issues such as currency double-spending. Recent advancements include Boneh–Lynn–Shacham, or BLS, signatures, which are used to verify senders’ identities and validate transactions while ensuring thei data is safely stored. Another recent adoption is the Shamir Secret Sharing, or SSS, algorithm. SSS divides a secret value among multiple participants, called shareholders, who must work then together to reconstruct the secret. The setup is ideal for storing private keys holding entrance to decentralized finance, or DeFi, pools, and smart contracts that lock a large sum of money.
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Source: Cryptocurrency - investing.com