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From One Seed to a Thousand Leaves – Merkle's Authentication Tree

7 hours ago
  • Merkle trees solve the storage problem of Lamport-Diffie one-time signatures by using a binary tree structure where only the root (a fixed-length hash) needs to be stored, replacing the need to store all public keys.
  • A one-way hash function is used to compute tree nodes from private keys (leaves) up to the root, enabling verification via authentication paths rather than storing the entire tree.
  • Merkle further improved efficiency by using a single 200-bit seedkey to generate all private keys, and by allowing deletion of nodes not needed for future authentication.
  • The Merkle tree is foundational to blockchain, enabling Simplified Payment Verification (SPV) where a transaction can be verified without downloading the entire blockchain.

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