Cryptographic systems and methods for extending apparent size of pools of truly random numbers

A first copy of a True Random Number (TRN) pool comprising key data of truly random numbers in a pool of files may be stored on a sender and a second copy of the TRN pool is stored on a receiver. An apparent size of the TRN pool on each device is expanded using a randomizing process for selecting and re-using the key data from the files to produce transmit key data from the first copy and receive key data from the second copy.