Homomorphic signatures and network coding signatures: United States Patent 9722776

The subject disclosure is directed towards a technology by which data is securely distributed using a homomorphic signature scheme and homomorphic network coding signature schemes. A homomorphic signature scheme for signing the data is based upon binary pairing with standard prime order groups. Sets of data are signed based upon dividing a larger block of data into smaller blocks, and separately signing each smaller block. The smaller blocks may be distributed to nodes of a network topology that are configured for network coding. In one alternative, the homomorphic signature scheme protects against changes to the block identifier. Proof data may be provided independent of a random oracle, may be provided by providing parameters for verification in a Groth-Sahai proof system, or may be provided by providing parameters for verification independent of a Groth-Sahai proof system. >