Hardware innovations such as motes, RFIDs, embedded microprocessors, and wireless sensors, have provided the foundation for a plethora of new applications for business, government, industry, and individuals. These applications include connected cities, smart homes and appliances, improved security and surveillance, smart vehicles, business integration, and e-commerce. Rarely does a user complain about a software system being too fast. Even though processor speeds have increased significantly, access times for external storage have lagged, causing performance bottlenecks. This paper presents a new hashing scheme, Tridirectional Computed Chaining, which is especially relevant for applications in which space may be limited but fast access is important. The performance enhancements result primarily from using a pseudolink field with three-way branching rather than one allowing only a linear chain.