Bulletproofs are short, non-interactive zero-knowledge proofs that do not require a trusted setup. They can be used to demonstrate that an encrypted value is valid—for instance, showing that an encrypted number falls within a specific range—without revealing any additional information about the number. Unlike SNARKs, Bulletproofs do not need a trusted setup, but verifying them is more computationally intensive. Ring CT, or 'Ring Confidential Transactions,' involves mixing a genuine transaction with a set number of fake transactions. The size of the ring determines how many fake transactions are added, obscuring the true transaction and its amount within a mixture of fake ones. BIP-39 is a standard that translates binary data (sequences of 0s and 1s used by computers) into a human-readable ...
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