[sszz]

In order to uniquely identify, not a lot of space! A recent paper puts it at 50 SNPs (https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5785835/).

Describing your total unique genetic profile would obviously require a lot more space, and wouldn't be constant across individuals/ancestral backgrounds (e.g. there's more genetic diversity in people of African descent).