Random oracles in open networks

A computer-implemented system for decentralized data processing comprising:

• a processor device on a first node computing device configured to;
• choose a random secret, wherein the random secret is a numeric or alphanumeric value generated from a source of entropy,
• distribute a number of shares divided from the random secret to a plurality of destination computing devices that are members of essential subsets for the first node computing device, wherein the number of shares are distributed using asynchronous verifiable secret sharing (AVSS) mechanism,
• receive a share of a random secret from a second node computing device of the plurality of destination computing devices, wherein the first node computing device is a member of an essential subset of the second node computing device,
• sign a deterministic seed message using the share of the random secret received from the second node computing device to generate a signature share,
• reveal the generated signature share to the open network, and
• in response to revealing the generated signature share, receive a random value which is created from a source of randomness through deterministic combination of the signatures of the deterministic seed message.

A system for decentralized data processing comprising:

• one or more computers and one or more storage devices storing instructions which are operable, when executed by the one or more computers, to cause the one or more computers to perform operations comprising:
• choosing, by a first node computing device of an open network, a random secret, wherein the random secret is a numeric or alphanumeric value generated from a source of entropy;
• distributing, by the first node computing device, a number of shares divided from the random secret to a plurality of destination computing devices of the open network that are members of essential subsets for the first node computing device, wherein the number of shares are distributed using asynchronous verifiable secret sharing (AVSS) mechanism;
• receiving, by the first node computing device, a share of a random secret from a second node computing device of the plurality of destination computing devices, wherein the first node computing device is a member of an essential subset of the second node computing device;
• signing, by the first node computing device, a deterministic seed message using the share of the random secret received from the second node computing device to generate a signature share;
• revealing, by the first node computing device, the generated signature share to the open network;
• and
• receiving, by the first node computing device, a random value which is created from a source of randomness through deterministic combination of the signatures of the deterministic seed message.