Blockchain-implemented security systems and methods for blinded outcome selection

A blockchain-implemented security method involving a first party and a second party, the method comprising:

• generating, by the first party, a first plurality of n secrets;
• encrypting, by the first party, the first plurality of n secrets utilizing elliptic curve cryptography to obtain n resultant data points that represent encrypted versions of the first plurality of n secrets;
• sending, by the first party, a message to the second party which includes the n resultant data points;
• verifying, by the first party, a first transaction created by the second party to ensure that a plurality of n cryptographic locks generated by the second party is based on allowed linear combinations of encrypted versions of the first plurality of n secrets generated by the first party and encrypted versions of a second plurality of n secrets generated by the second party;
• randomly selecting, by the first party, one secret belonging to the first plurality of n secrets generated by the first party;
• and
• sending, by the first party, a message to the second party which includes the one secret randomly selected by the first party, such that the second party can generate a cryptographic key that unlocks a particular cryptographic lock of a plurality of n cryptographic locks generated by the second party.