A method includes accessing genomic data of from a genomic database; generating, by a processor, a first hash by probabilistically and irreversibly encrypting a first portion of the genomic data encoding the first genomic sequence, the first hash projecting the first portion into reduced dimensions such that the first portion of the genomic data encoding the first genomic sequence becomes statistically improbable to recover outside the first processor; generating, by the processor, a first cryptogram by deterministically and reversibly encrypting a second portion of the genomic data encoding the first genomic sequence; generating, by the processor, a look-up table by using at least the first cryptogram as a key and the first portion of the genomic data encoding the first genomic sequence as the value, and transmitting data encoding the first hash and the first cryptogram to one or more processors that are different from the first processor.