Multisig vs Threshold Secret Sharing

• threshold secret sharing:
  • you have multiple shards of a secret
  • given enough of them, you can reconstruct the whole secret
  • sample implementation: github/hashicorp/vault/shamir.go
• multisig:
  • you need multiple transactions from valid parties to execute something
  • sample implementation: solidity-by-example/multisig
  • github/safe/safe-contracts/Safe.sol

• threshold: interesting cryptographic construction for reconstructing a secret
• multisig: pattern in smart contract programming for only executing something if enough signatures made by list of privkeys

There’s also group signatures – any member can generate a signature on behalf of a group. Identity of the signer cannot be determined without the group manager’s secret key.