Abstract: A method includes broadcasting, by a node computer, a propose message comprising a new block for a blockchain to a plurality of node computers in a network shard. The node computer can receive at least one vote message from the plurality of node computers, the at least one vote message indicating verification of the new block. The node computer can, after a predetermined amount of time, receive a plurality of pre-commit messages comprising at least the new block and a block certificate created based on the at least one vote message. If the number of received pre-commit messages of the plurality of pre-commit messages is greater than a quorum value associated with the network shard, the node computer can commit the new block to the blockchain.

Abstract: A method includes broadcasting, by a node computer, a propose message comprising a new block for a blockchain to a plurality of node computers in a network shard. The node computer can receive at least one vote message from the plurality of node computers, the at least one vote message indicating verification of the new block. The node computer can, after a predetermined amount of time, receive a plurality of pre-commit messages comprising at least the new block and a block certificate created based on the at least one vote message. If the number of received pre-commit messages of the plurality of pre-commit messages is greater than a quorum value associated with the network shard, the node computer can commit the new block to the blockchain.

Abstract: A method includes a first device receiving, from a second device, an interaction request message comprising an amount and a second device certificate. The first device can verify the second device certificate using a server computer public key corresponding to a server computer private key. A trusted application in a secure element of the first device can determine whether or not the amount is less than an offline amount stored in the secure element. If the amount is less than the offline amount, the trusted application can determine an updated offline amount based on the amount. The trusted application can generate an interaction response message comprising the amount and a trusted application certificate. The first device can then provide the interaction response message to the second device.

Abstract: A method includes broadcasting, by a node computer, a propose message comprising a new block for a blockchain to a plurality of node computers in a network shard. The node computer can receive at least one vote message from the plurality of node computers, the at least one vote message indicating verification of the new block. The node computer can, after a predetermined amount of time, receive a plurality of pre-commit messages comprising at least the new block and a block certificate created based on the at least one vote message. If the number of received pre-commit messages of the plurality of pre-commit messages is greater than a quorum value associated with the network shard, the node computer can commit the new block to the blockchain.