Systems and methods for performing genomic information compression, transmission, and decompression are provided. A system for compression, transmission, and decompression of genomic information includes a first computer associated with a first index and a second computer associated with a second index, each index containing reference permutations of nucleic acid sequence portions, each permutation associated with a reference number. The first computer uses input genomic information and the first index to produce a compressed representation of the genomic information, and transmits the compressed representation to the second computer. The second computer uses the compressed representation and the second index to assemble a data representation of the genomic information. The compressed representation comprises references to permutations, indications of locations of each permutation in the input information, indications of variations to permutations, and/or indications of sequence length.