A Modular Reduction Process Defined by the Digital Root
Abstract
This work presents the DRF3 (Data Root Fluid v.3) protocol, a novel approach to data integrity based on algebraic decomposition and nilpotency validation. Unlike traditional methods relying on external hashes or checksums, DRF3 embeds integrity directly within the mathematical structure of the data by decomposing each unit into three correlated components: Q (quotient), DR (digital root), and FN (nilpotent fluid). This paper outlines the theoretical framework, experimental validation through a working prototype, and future directions toward cryptographic integration.
Fields of Study & Subjects
Cryptography and Residue Arithmetic
Cryptography and Data Security
Coding theory and cryptography
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 12 March 2026
- Language
- EN
- Document type
- Preprint