Abstract: A computer-implemented method for generating an identity-based cryptographic key, the method comprising: obtaining a set of private key shares and a set of corresponding public key shares, wherein each private key share is generated based on the personal identifier, and wherein at least one of the set of private key shares is generated by a respective one of a set of key-generating parties; generating an identity-based private key based on each of the one or more private key shares; and generating a partial identity-based public key, wherein the partial identity-based public key is generated based on each of the set of corresponding public key shares; transmitting the partial identity-based public key to at least one of the set of key-generating parties for generating the identity-based public key; and/or generating the identity-based public key, wherein the identity-based public key comprises the personal identifier and the partial identity-based public key.

Abstract: A method of executing a transaction of a blockchain. The transaction comprises at least one output comprising a locking script, and the locking script comprises an instance of a first opcode and one or more instances of a second opcode. Each instance of the second opcode separates portions of the locking script. Upon calling the instance of the first opcode, a first data element is read from at least one stack, the first data element being generated during execution of the locking script with an unlocking script of a different transaction. A first part of the locking script that follows an instance of the second opcode corresponding to the first data element is output.

Abstract: A method of executing transactions of a blockchain network. A first transaction comprises at least a first output comprising a first locking script of a stack-based scripting language, the first locking script comprising a portion of the first locking script to be executed before a first instance of an opcode is executed. A second transaction comprises a first unlocking script that references the first output in the first transaction. Upon executing the first instance of the opcode, execution of the first locking script is terminated whilst not invalidating the first transaction. A first data element is read from at least one stack, wherein the first data element is generated during execution of the first unlocking script and the portion of the first locking script. The first data element as read from the at least one stack is supplied to an off-chain function, wherein the function is configured to generate a result based on at least said first data element.

Abstract: A computer-implemented method of partitioning a blockchain network into shards is disclosed. The method comprises the steps of identifying a transaction id of a blockchain transaction and allocating the transaction to a shard based on the transaction id.

Abstract: A computer-implemented method and system is provided that maintains blocks of a blockchain across nodes of a sharded blockchain network, wherein each node is a member of one or more shards of a plurality of active shards. The method and system employ a given node that is a member of a particular subset of the plurality of active shards to generate data representing a new block of the blockchain and store the data representing the new block. Such data includes i) a list of transaction identifiers for transactions that are part of the new block and associated with the particular subset of the plurality of active shards, and/or ii) a Partial Merkle Tree for the new block.

Abstract: A computer-implemented method for validating a blockchain transaction is disclosed. The method comprises identifying at least one shard comprising at least one UTXO referenced by at least one respective input of the transaction, transmitting the transaction to at least one member node of at least one shard, and performing a validation check on at least one input using validity data of the UTXO.

Abstract: A computer-implemented method of partitioning a blockchain network into shards is disclosed. The method comprises identifying a parent blockchain transaction, the parent transaction defined by an output which corresponds to an input of a child blockchain transaction, and allocating the parent transaction and the child transaction to the same shard.

Abstract: A computer-implemented method of validating a blockchain transaction is disclosed. The method comprises requesting at least one UTXO referenced by at least one respective input of the transaction from a member node of at least one shard comprising at least one UTXO, obtaining validity data of at least one UTXO from at least one node, and performing a validation check on at least one input using the validity data.