GÉNÉRATION EFFICACE DE CLÉ DE COURBE ELLIPTIQUE À SEUIL REPARTI ET PROCÉDÉ ET SYSTÈME DE SIGNATURE

摘要

The invention relates to an efficient threshold distributed elliptic curve key generation and signature method, which includes : 1) all n nodes generate their own key pair (ptki, puki) separately without the participation of a trusted center, where ptki is the private key and puki is the public key; 2) each node processes its own public-private key pair according to the secret sharing protocol, and completes the conversion of the (n, n) threshold to the (t, n) threshold; 3) after determining t signature nodes, each node generates a (t, t) threshold private key according to the threshold logic, and completes the mapping of ptki to ptki'; 4) according to the signature logic, each node uses ptki' to complete the communication and calculation in the signature protocol, and stores the relevant calculation results, and finally completes the overall signature. The invention realizes centerless, strong robust and high security and reduces transaction fees. The invention relates to an efficient threshold distributed elliptic curve key generation and signature system.