Composite Subtraction Format Ranking with Precomputed Intervals
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Solution Overview
Problem
Existing technologies face challenges in efficiently ranking and unranking instances of composite subtraction formats, particularly in formats like Financial Instrument Global Identifier (FIGI) and bank account IDs, due to the difficulty in expressing definitions positively and the inefficiency of traditional methods.
Innovation Solution
A system and method that utilize a processor to determine intervals and calculate ranks within composite subtraction formats, enabling efficient ranking and unranking of values by preprocessing to generate intervals with associated ranks, allowing for format-preserving encryption and tokenization.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If traditional ranking methods are used for composite subtraction formats, then the ranking process becomes inefficient and complex, but the system can still handle formats like FIGI and bank account IDs
Solution Approach 1:
The patent applies preliminary action by pre-processing the composite subtraction format to generate a set of intervals with associated ranks before actual ranking operations. This preprocessing step creates a structured framework that enables efficient ranking during runtime without repeatedly performing complex calculations on the original format
Solution Approach 2:
The patent segments the composite subtraction format into multiple intervals, where each interval represents a portion of the value space with associated ranking information. This segmentation transforms the complex ranking problem into manageable discrete intervals that can be processed efficiently
2Adaptability or versatility
If composite subtraction formats are used to represent complex data structures, then the ability to express negative definitions is improved, but the difficulty of ranking and unranking instances increases
Solution Approach 1:
The patent introduces intervals as an intermediary structure between the composite subtraction format and the ranking operation. These intervals serve as a mediator that translates the complex format definition into a form that is easy to rank, thereby reducing the difficulty of detecting and measuring rank positions
3Speed
If efficient ranking is achieved through preprocessing, then ranking speed is improved, but additional computational steps are required
Solution Approach 1:
The patent performs preprocessing to generate intervals with pre-computed ranking information, which speeds up subsequent ranking operations. The additional computational steps are concentrated in the preprocessing phase, while runtime ranking becomes significantly faster
Data Source
AI summary
An example system includes a processor to receive a value formatted using a composite subtraction format. The processor can determine an interval of a number of intervals that corresponds to the received value using minuend rank. The processor can then calculate rank of the value based on the position of the value within the determined interval.