Patent attributes
A data communication system, in which a sender obtains a set of base data elements; generates a first and a second key from (i) the set of base data elements and (ii) sets of first and second entanglement data elements, the first and second keys comprised of a respective first and second public component and a respective first and second private component. A recipient generates first and second ciphers by encoding a digital message using the first and second public components; and sends the first and second ciphers towards the sender apparatus. The sender then extracts the digital message based on the first and second ciphers, the first and second private components, and the sets of first and second entanglement data elements. The private components are not derivable from the public components or from the ciphers irrespective of computing power. A method of digital signing and verification is also described.