Private Data Comparison via Pre-calculated Lookup Tables

The patent applies preliminary action by pre-calculating and storing random values in lookup tables before the actual comparison process. During comparison, these pre-prepared random values are directly retrieved and used, eliminating the need for real-time random value generation. This significantly reduces computational effort while maintaining the security properties required for private value comparison.

The patent uses copying by creating intermediate values that represent the private values without revealing the actual values. Instead of directly comparing private values, the system compares intermediate values derived from the private values through mathematical transformations. This allows the comparison function to be achieved while preserving confidentiality, as the intermediate values do not expose the original private data.

The patent dramatically reduces computing time by performing random value generation and storage in advance. The lookup tables containing pre-computed random values are prepared once and reused across multiple comparisons. This eliminates repeated computational overhead during actual comparisons, reducing computing time by thousands of times compared to traditional approaches that generate random values on-demand for each comparison operation.

The patent replaces complex cryptographic computation mechanisms with simpler mathematical operations and table lookup operations. Instead of using heavy cryptographic protocols for each comparison step, the system substitutes these with pre-computed value retrievals and basic arithmetic operations, achieving the same confidentiality preservation goal with dramatically reduced computational time and resource consumption.