A method for operating a lottery through a plurality of lottery entities. Each of the lottery entities generates a respective plays hash of a set of play transactions issued by the entity for a lottery game, and a digital signature as a function of the plays hash, before a game drawing. Each of the plurality of lottery entities publishes the respective digital signature, followed by the respective plays hash, to other entities of the plurality of lottery entities and/or a central authority. A random number seed is generated as a function of the published plays hashes. One or more random draw numbers for the game drawing are generated as a function of the random number seed.