A first string, having a first string value, that is associated with a sample set of material is received, wherein a second string, having a complementary value relative to the first string value, is also associated with the sample set of material. A determinative hash is generated using the first string value and a symmetric generator polynomial. A second hash, corresponding to the second string, is generated directly from the determinative hash. A canonized hash is generated using the determinative hash and the second hash. It is determined whether at least one of the first string or the second string is stored in string storage that is configured to store a plurality of strings, including by searching a hash table for the canonized hash; in the event it is determined that at least one of the first string or the second string is not stored in the string storage, at least one of the first string or the second string is stored in the string storage.