Symbolic Gray Code as a Perfect Multiattribute Hashing Scheme for Partial Match Queries

In this paper, we shall show that the symbolic Gray code hashing mechanism is not only good for best matching, but also good for partial match queries. Essentially, we shall propose a new hashing scheme, called bucket-oriented symbolic Gray code, which can be used to produce any arbitrary Cartesian product file, which has been shown to be good for partial match queries. Many interesting properties of this new multiattribute hashing scheme, including the property that it is a perfect hashing scheme, have been discussed and proved.